Dataset of Fractions in the Chola Thanjavur Village Grants (SII 2.4-2.5)
SOUTH INDIAN INSCRIPTIONS VOLUME II INSCRIPTION NO. 4
1
Pālaiyūr
Land A: line 7-8: nilam nūṟṟu muppattu nāṉkey eṭṭu māviṉ kīḻ muk-kāle mummāvaraiyaraikkāṇi muntirikaikkīḻ nāṉku māvilum Land B: line 8-9: iṟaiili nilam oṉpatey kāṇi araikkāṇi muntirikaikkīḻarai nīk[ki] Land C: line 8-9: iṟai kaṭṭiṉa nilam nūṟṟu iru-pattu aiñcey eḻumāvarai muntirikaikkīḻ eṇmāvarai araikkāṇi muntirikaikkīḻ nāṉku māviṉāl
Land (A) = 134 + 2/5 + {1/320 * (3/4 + 7/40 + 1/160 + 1/320)} + (1/320 * 4/20) = 134 + (41323/102400)
Tax-free land (B) = 9 + 1/80 + 1/160 + 1/320 + 1/640 = 9 + 2400/102400
Taxable land (C = A – B) = 125 + 7/20 + 1/320 + {1/320 * (8/20 + 1/160 + 1/320)} + (1/320 * 4/20) =
125 + 38923/102400
1. 1/320 * (3/4 + 7/40 + 1/160 + 1/320)
2. (1/320 * 4/20)
1/640
1. 1/320 * (8/20 + 1/160 + 1/320)
2. (1/320 * 4/20)
12530 kalam + 2 tūṇi + 1 kuṟuṇi + 1 nāḻi paddy ≈ 1 kalam per each 10.0025 units of land
125 + 38923/102400 units of land = 12530 kalam + 2 tūṇi + 1 kuṟuṇi + 1 nāḻi paddy
125.3801 units of land = 12530.76 kalam of paddy
1: 99.942 (99.942 kalam of paddy taxed for 1 unit of land)
The numerator of Land A is a prime number, as well as Land C.
2
Ārappāḻ
Land A: line 3-5: nilam nūṟṟu orupattu oṉṟey aṟumāvarai araikkāṇikkīḻ mukkāle araikkāliṉ kīḻ araiye iraṇṭu māvilum Land B: line 6-7: iṟaiili nilam mūṉṟaraiye nāṉku mā-
[7.] kkāṇi araikkāṇi nīkki Land C: line 7-8: iṟai kaṭṭiṉa nilam nūṟṟu eḻaraiye iraṇṭu mākkāṇikkīḻ mukkāle araikkāliṉ kīḻ araiye iraṇṭu māviṉāl
Land (A) = 111 + 13/40 + 1/160 + {1/320 * (3/4 + 1/8)} + (1/320) * {1/2 + 1/10} = 111 + 4299/12800
Tax-free land (B) = 3 + 1/2 + 1/5 + 1/80 + 1/160 = 3 + 9200/12800
Taxable land (C) =107 + 1/2 + 1/10 + 1/80 + {1/320 * (3/4 + 1/8)} + {1/320 * (1/2 + 2/20)} = 107 + 7899/12800
1. 1/320 * (3/4 + 1/8)
2. 1/320 * (1/2 + 2/20)
–––––––
1. 1/320 * (3/4 + 1/8)
2. 1/320 * (1/2 + 2/20)
10745 kalam + 2 tūṇi + 1 patakku + 3 nāḻi paddy
107 + 7899/12800 units of land = 10745 kalam + 2 tūṇi + 1 patakku + 3 nāḻi paddy
107.61 units of land = 10745.53 kalam of paddy
1: 99.856 (99.856 kalam of paddy taxed for 1 unit of land)
3
Kīraṉatevaṉkuṭi
Land A: line 1-2: ••••iraṇṭe mukkāle nāṉku mākkāṇi muntirikaikkīḻ araiye mūṉṟu mā mukkāṇi araikkāṇikkīḻ eṭṭu māvilum Land B: line 3: iṟaiili nilam iraṇṭe orumāvarai araikkāṇi muntirikaikkīḻ nāṉku mā muntiri[?]•••• Land C: line 4: ••••ṉa nilam nāṟpatey mukkāle irumāvarai araikkāṇikkīḻ oṉpatu mā mukkāṇikkīḻ mukkāle orumāviṉāl
Land (A) = ...2 + 3/4 + 1/5 + 1/80 + 1/320 + {1/320 * (1/2 + 3/20 + 3/80 + 1/160)} + (1/320 * 8/20) = … 2 + 99230/102400
Tax-free land (B) = 2 + 3/40 + 1/160 + 1/320 + (1/320) * {1/5 +1/320} = 2 + 8897/102400
Taxable land (C) =40 + 3/4 + 1/8 + 1/160 + {1/320 * (9/20 + 3/80)} + {1/320 * (3/4 + 1/20)} = 40 + 22663/25600
1. 1/320 * (1/2 + 3/20 + 3/80 + 1/160)
2. (1/320 * 8/20)
1/320 * (4/20 + 1/320)
1. 1/320 * (9/20 + 3/80)
2. 1/320 * (3/4 + 1/20)
4070 kalam + 5 kuṟuṇi + 5 nāḻi paddy
40 + 22663/25600 units of land = 4070 kalam + 5 kuṟuṇi + 5 nāḻi paddy
40.86 units of land = 4070.47 kalam of paddy
1: 99.619 (99.619 kalam of paddy taxed for 1 unit of land)
Partial missing values in Land (A)
4
Nākaṉka•••
Land A: line 4-6:•••yey iraṇṭu mā mukkāṇi araikkāṇikkīḻ irumāvarai araikkāṇikkīḻ eṭṭu māvilum Land B: line 7: iraiili nilam mukkāle orumā araikkā[ṇi]••••• Land C: line 8: nilam irupattu oṉṟey mukkāle orumāvarai araikkāṇi muntirikaikkīḻ araikkāṇikkīḻ eṭṭu māviṉāl
Land (A) = 22 + 1/2 + 1/10 + 3/80 + 1/160 + {1/320 * (1/10 + 1/40 + 1/160)} + (1/320 * 8/20) = 22 + 66090/102400
Tax-free land (B) = 3/4 + 1/20 + 1/160 + 1/320 + (1/320) * {2/20 + 1/40} = 82920/102400
Taxable land (C) = 21 + 3/4 + 1/20 + 1/40 + 1/160 + 1/320 + (1/320 * 1/160) + (1/320 * 8/20) = 21 + 85570/102400
1. 1/320 * (1/10 + 1/40 + 1/160)
2. 1/320 * 8/20
1/320 * (2/20 + 1/40)
1. 1/320 * 1/160
2. 1/320 * 8/20
2183 kalam + 5 kuṟuṇi + 4 nāḻi paddy
21 + 85570/102400 units of land = 2183 kalam + 5 kuṟuṇi + 4 nāḻi paddy
21.84 units of land = 2183.46 kalam of paddy
1: 99.975 (99.975 kalam of paddy taxed for 1 unit of land)
Partial missing values in Land (B), but supplied by the editor (kīḻ series)
5
[Name lost]
Land A: line 1:•••••• Land B: line 1: iṟaiyali nīṅkunilam aiñciṉ kīḻ araiye mūṉṟu mā mukkāṇikkīḻ mukkāle orumā nīkki Land C: line 1: iṟai kaṭṭiṉa nilam nūṟṟu orupattu aiñce kāle araikkāṇi muntirikaikkīḻ araiye mūṉṟu mā muntirikaikkīḻ araiye iraṇṭu māviṉāl
Land (A) = [Numbers are missing in the inscription] = [Must be 120 + 27437/102400 based on the B & C]
Tax-free land (B) = 5 + {1/320 * (1/2 + 3/20 + 3/80)} + {1/320* (3/4+1/20)} = 5 + 476/102400
Taxable land (C) = 115 + 1/4 + 1/160 + 1/320 + {1/320 * (1/2 + 3/20 + 1/320)} + {1/320 * (1/2 + 1/10)} = 115 + 26961/102400
–––––––
1. 1/320 * (1/2 + 3/20 + 3/80)
2. 1/320* (3/4 + 1/20)
1. 1/320 * (1/2 + 3/20 + 1/320)
2. 1/320 * (1/2 + 2/20)
11526 kalam + 1 kuṟuṇi + 7 nāḻi paddy
115 + 26961/102400 units of land = 11526 kalam + 1 kuṟuṇi + 7 nāḻi paddy
115.26 units of land = 11526.16 kalam of paddy
1: 100.001 (100.001 kalam of paddy taxed for 1 unit of land)
Text about the quantity of Land (A) is missing.
6
Rājarājanallūr
Land A: line 2: nilam muppattu āṟaraiye orumā araikkāṇi muntirikaikkīḻ mukkāle mā kāṇikkīḻ mukkāle orumāvilum Land B: line 3: iṟaiili nilam iraṇṭe eḻumā araikkāṇi muntirikaikkīḻ mukkāle orumāvarai muntirikaikkīḻ araiye iraṇṭu mā nīkki Land C: line 3-4: nilam muppattu nāṉke mūṉṟu mā mukkāṇi araikkāṇi muntirikaikkīḻ mukkāle nāṉmāvarai araikkāṇi muntirikaik•••••
Land (A) = 36 + 1/2 + 1/20 + 1/160 + 1/320 + {1/320 * (3/4 + 1/20 + 1/80)} + {1/320 * (3/4 + 1/20)} = 36 + 57604/102400
Tax-free land (B) = 2 + 7/20 + 1/160 + 1/320 + {1/320 * (3/4 + 1/20 + 1/40 + 1/320)} + {1/320 * (1/2 + 2/20)} =2 + 37321 /102400
Taxable land (C) = 34 + 3/20 + 3/80 + 1/160 + 1/320 + {1/320 * (3/4 + 4/20 + 1/40 +1/160 + 1/320} + (1/320) * {4/20} = 34 + 20539/102400
1. 1/320 * (3/4 + 1/20 + 1/80)
2. 1/320 * (3/4 + 1/20)
1. 1/320 * (3/4 + 1/20 + 1/40 + 1/320)
2. 1/320 * (1/2 + 2/20)
–––––––
3378 kalam + 1 patakku + 4 nāḻi paddy
34 + 20539/102400 units of land = 3378 kalam + 1 patakku + 4 nāḻi paddy
34.20 units of land = 3378.21 kalam of paddy
1: 98.778 (98.778 kalam of paddy taxed for 1 unit of land)
Text about the quantity of Land (C) is missing and it is supplied by the editor.
C = A-B does not match (with or without the supplied text)
7
Uccipāṭi
Land A: line 4: nilam aimpattu eḻaraiye orumā mukkāṇi araikkāṇi muntirikaikkīḻ araiye nāṉku mā mukkāṇiyilum Land B: line 5: iraiyili [nila]m oṉṟe mukkāle mūṉṟu mā mukkāṇi araikkāṇi muntirikaikkīḻ irumāvarai muntirikaikkīḻ arai-ye iraṇṭu mā nīkki Land C: line 3-4: iṟai kaṭṭiṉa nilam aiympattaiñcaraiye mūṉṟu māviṉ kīḻ araiye iraṇṭu māvaraikkāṇikkīḻ eṭṭu māviṉāl
Land (A) = 57 + 1/2 + 1/20 + 3/80 + 1/160 + 1/320 + {1/320 * (1/2 + 1/5 + 3/80)} = 57 + 61356/102400
Tax-free land (B) = 1 + 3/4 + 3/20 + 3/80 + 1/160 + 1/320 + {1/320 * (5/40 + 1/320)} + {1/320 * (1/2 + 1/10)} = 1 + 97193/102400
Taxable land (C) =55 + 1/2 + 3/20 + {1/320 * (1/2 + 1/160)} + (1/320 * 8/20) = 55 + 66884/102400
1/320 * (1/2 + 4/20 + 3/80)
1. 1/320 * (2/20 + 1/40 + 1/320)
2. 1/320 * (1/2 + 2/20)
1. 1/320 * (1/2 + 2/20 + 1/160)
2. 1/320 * 8/20
… hundred + 26 kalam + 1 tūṇi + 4 nāḻi paddy
55 + 66884/102400 units of land = X hundred + 26 kalam + 1 tūṇi + 4 nāḻi paddy
Seeing 1: 100 ratio approximately from other calculations, we may assume X hundred = fifty-five hundred. So 55.65 units of land = 5500 kalam + 26.375 kalam of paddy
1: 99.305 (99.305 kalam of paddy may have been taxed for 1 unit of land if our assumption about the missing X hundred is correct)
C = A-B (does not match: Should get 55 + 66563/102400 in the result)
Registered tax in paddy measure is missing
8
Kīḻvaṭukakkuṭi
Land A: line 6: nilam irupatteḻaraiye orumāvarai araikkāṇikkīḻ nāṉku mā araikkāṇi muntirikaikkīḻ nāṉku māvilum Land B: line 7: .••••• [r]aikkāṇi mu[ntirikai]kkīḻ mūṉṟu mākkāṇi araikkāṇikkīḻ eṭṭu mā nīkki Land C: line 3-4: iṟai kaṭṭiṉa nilam irupattāṟey oṉpatu mākkāṇi araikkāṇi muntirikaikkīḻ mukkāṇikkīḻ mukkāle orumāviṉāl
Land (A) = 27 + 1/2 + 3/20 + 1/160 + {1/320 * (1/5 + 1/160 + 1/320)} + (1/320) * 4/20) = 27 + 67331/102400
Tax-free land (B) = … + 1/160 + 1/320 + (1/320) * {3/16 + 1/160} + (1/320) * {8/20} = 1+ X + 190/102400
Taxable land (C) = 26 + 9/16 + 1/160 + 1/320 + (1/320 * 3/80) + {1/320 * (3/4+1/20)} = 26 + 58828 / 102400
1. 1/320 * (4/20 + 1/160 + 1/320)
2. 1/320) * 4/20
–––––––
1. 1/320 * 3/80
2. 1/320 * (3/4 + 1/20)
… hundred + 26 kalam + 1 tūṇi + 4 nāḻi paddy
26 + 58828 / 102400 units of land = X hundred + 26 kalam + 1 tūṇi + 4 nāḻi paddy
Seeing 1: 100 ratio approximately from other calculations, we may assume X hundred = twenty-six hundred. So 26.57 units of land = 2600 kalam + 26.375 kalam of paddy
1: 98.847 (98.847 kalam of paddy may have been taxed for 1 unit of land if our assumption about the missing X hundred is correct
C = A-B (Incomplete information).
9
Kañcāṟa[ṉa]kar[am]
Land A: line 8: nilam āṟe mukkāle iraṇṭu mā mukkāṇi araikkāṇi muntirikaikkīḻ mukkāle orumā mukkāṇikkīḻ mukkāle orumāvilum Land B: line 8: iṟaiyili nilam orumā mukkāṇi araikkāṇi muntirikaikkīḻ aṟumākkāṇi araik-kāṇikkīḻ eṭṭu mā nīkkī Land C: line 8-9: iṟai kaṭṭiṉa nilam āṟe mukkāle orumāviṉ kīḻ araiye kāṇi•••••
Land (A) = 6 + 3/4 + 1/10 + 3/80 + 1/160 + 1/320 + {1/320 * (3/4 + 1/20 + 3/80)} + {1/320 * 3/4 + 1/20)} = 6 + 46182/51200
Tax-free land (B) =1/20 + 3/80 + 1/160 + 1/320 + {1/320 * (6/20 + 1/80 + 1/160)} + (1/320 * 8/20) = 5075/51200
Taxable land (C) =6 + 3/4 + 1/20 + {1/320 * (1/2 + 1/80)} = 6 + 20521/25600
1. 1/320 * (3/4 + 1/20 + 3/80)
2. 1/320 * 3/4 + 1/20)
1. 1/320 * (6/20 + 1/80 + 1/160)
2. 1/320 * 8/20
1/320 * (1/2 + 1/80)
674 kalam + 2 tūṇi + 2 kuṟuṇi + 4 nāḻi paddy
6 + 20521/25600 units of land = 674 kalam + 2 tūṇi + 2 kuṟuṇi + 4 nāḻi paddy
6.80 units of land = 674.875 kalam of paddy
1: 99.246 (99.246 kalam of paddy taxed for 1 unit of land))
C = A-B (Does not add up)
10
Ūcakkaṇṇaṅkuṭi
Land A: line 10: nilam aiñca-raiye irumāvarai araikkāṇikkīḻ mukkāle mukkāṇi araikkāṇi muntirikaikkīḻ nāṉku māvilum Land B: Section 5 line 1-2: iṟaiyili nilam mummāvarai araikkāṇikkīḻ mukkāle mūṉṟu mā mukkāṇikkīḻ mukkāle orumā nīkki Land C: line 2-3: iṟai kaṭṭiṉa nilam aiñce eṭṭu mā mukkāṇi araikkāṇi muntirikaikkīḻ mukkāleyiraṇṭu mā araikkāṇikkīḻ eṭṭu māviṉāl
Land (A) = 5 + 1/2 + 1/10 + 1/40 + 1/160 + {1/320 * (3/4 + 3/80 + 1/160 + 1/320)} + (1/320 * 1/5) = 5 + 64959/102400
Tax-free land (B) = 3/20 + 1/40 + 1/160 + {1/320 * (3/4 + 3/20 + 3/80)} + {1/320 * (3/4 + 1/20)} = 19116/102400
Taxable land (C) = 5 + 8/20 + 3/80 + 1/160 + 1/320 + {1/320 * (3/4 + 1/10 + 1/160)} + (1/320 * 8/20) = 5 + 46162/102400
1. 1/320 * (3/4 + 3/80 + 1/160 + 1/320)
2. 1/320 * 4/20
1. 1/320 * (3/4 + 3/20 + 3/80)
2. 1/320 * (3/4 + 1/20)
1. 1/320 * (3/4 + 1/10 + 1/160)
2. 1/320 * 8/20
518 kalam + 2 tūṇi + 2 nāḻi paddy
5 + 46162/102400 units of land = 518 kalam + 2 tūṇi + 2 nāḻi paddy
5.45 units of land = 518.688 kalam of paddy
1: 95.172 (95.172 kalam of paddy taxed for 1 unit of land)
C = A-B (Does not add up. Real value should be 45843/102400)
11
Vaṭaviṟaiyāṉpaḷḷam
Land A: line 5: nilam irupattu nāle kāle araikkāṇikkīḻ oṉpatu mākkāṇi araikkāṇikkīḻ eṭṭu māvilum Land B: line 7-8: iṟaiyili nilam āṟu mākkāṇi araikkāṇikkīḻ āṟu mākkāṇi araikkāṇikkīḻ eṭṭu mā nīkki Land C: line 2-3: nilam irupattu mūṉṟe mukkāle mūṉṟu mā mukkāṇik-kīḻ mūṉṟu māviṉāl
Land (A) = 24 + 1/4 + 1/160 + {1/320 * (9/20 + 1/80 + 1/160)} + (1/320 * 8/20) = 24+ 13259/51200
Tax-free land (B) = 6/20 + 1/80 +1/160 + {1/320 * (6/20 + 1/80 + 1/160)} + (1/320 * 8/20) = 16435/51200
Taxable land (C) = 23 + 3/4 + 3/20 + 3/80 + (1/320 * 3/20) = 23 + 48024/51200
1. 1/320 * (9/20 + 1/80 + 1/160)
2. 1/320 * 8/20
1. 1/320 * (6/20 + 1/80 + 1/160)
2. 1/320 * 8/20
1. 1/320 * 3/20
2393 kalam + 2 tūṇi + 1 kuṟuṇi + 5 nāḻi paddy
23 + 48024/51200 units of land = 2393 kalam + 2 tūṇi + 1 kuṟuṇi + 5 nāḻi paddy
23.94 units of land = 2393.802 kalam of paddy
1: 99.991 (99.991 kalam of paddy taxed for 1 unit of land)
C = A-B (Adds up). Numerator of Land A is a prime number.
12
Tirutteṅkūr
Land A: line 1-2: nilam muppattu nāle kāle mukkāṇi muntirikaikkīḻ mukkāle orumā mukkāṇi muntirikaikkīḻ iraṇṭu māvilum Land B: line 2-3: iṟaiyili nilam āṟu mākkāṇi araikkāṇikkīḻ āṟu mākkāṇi araikkāṇikkīḻ eṭṭu mā nīkki Land C: line 3-4: nilam irupattoṉpataraiye nāṉku mā mukkāṇi araikkāṇi muntirikaikkīḻ orumā muntirikaikkīḻ mukkāle mūṉṟu māviṉāl
Land (A) = 34 + 1/4 + 3/80 + 1/320 + {1/320 * (3/4 + 1/20 + 3/80 + 1/320)} + (1/320 * 1/10) = 34 + 30061/102400
Tax-free land (B) = 4 + 1/2 + 3/80 + 1/160 + {1/320 * (3/4 + 1/40+ 1/160 + 1/320)} + (1/320 * 1/5) = 4+ 55995/102400
Taxable land (C) = 29 + 1/2 + 1/5 + 3/80 + 1/160 + 1/320 + {1/320 * (1/20 + 1/320)} + {1/320 * (3/4 + 3/20)} = 29 + 55995/102400
1. 1/320 * (3/4 + 1/20 + 3/80 + 1/320)}
2. 1/320 * 2/20
1. 1/320 * (3/4 + 1/40+ 1/160 + 1/320)
2. 1/320 * 4/20
1. 1/320 * (1/20 + 1/320)
2. 1/320 * (3/4 + 3/20)
297 kaḻañcu + 4 māñcāṭi+ 3 mā + 3 kāṇi gold
29 + 55995/102400 units of land = 297 kaḻañcu + 4 māñcāṭi+ 3 mā + 3 kāṇi gold
29.55 units of land = 297.418 kaḻañcu of gold
1: 10.064 (10.064 kaḻañcu of gold for 1 unit of land)
Registered tax measured in gold
13
Arakkaṉkuṭi
Land A: line 5: aḷantapaṭi nilam eḻe āṟu mākkāṇi araikkāṇikkīḻ [k]āṇi muntirikaikkīḻ eṭṭu mā mukkāṇikkīḻ mukkā-le orumāvilum Land B: line 6: iṟaiyili nilam eṭṭu mākkāṇikkīḻ oṉpatu mā nīkki Land C: line 6 -7: nilam āṟe muk[kā]le mūṉṟu mā muntirikaikkīḻ araiye mā kāṇi muntirikaikkīḻ eṭṭu mā mukkāṇikkīḻ mukkāle orumāviṉāl
Land (A) = 7 + 6/20 + 1/80 + 1/160 + {1/320 * (1/80 + 1/320)} + {1/320 * (8/20 + 3/80)} + (1/320) * {3/4 + 1/20} = 7 + 33041/102400
Tax-free land (B) = 8/20 + 1/80 + (1/320 * 9/20) = 42384/102400
Taxable land (C) = 6 + 3/4 + 3/20 + 1/320 + {1/320 * (1/2 + 1/20 + 1/80 + 1/320)} + {1/320 * (8/20 + 3/80)} + {1/320 * (3/4 + 1/20)} = 6 + 93057/102400
1. 1/320 * (1/80 + 1/320)
2. 1/320 * (8/20 + 3/80)
1/320 * 9/20
1. 1/320 * (1/2 + 1/20 + 1/80 + 1/320)
2. 1/320 * (8/20 + 3/80) + {1/320 * (3/4 + 1/20)}
656 kalam + 7 kuṟuṇi + 3 nāḻi paddy
6 + 93057/102400 units of land = 656 kalam + 7 kuṟuṇi + 3 nāḻi paddy
6.91 units of land = 656.615 kalam of paddy
1: 95.024 (95.024 kalam of paddy taxed for 1 unit of land)
C = A-B (Adds up). Numerator of Land C is a composite number with 3, 31019 as its factors both of which are prime numbers.
14
Piṭāraceri
Land A: line 8-9: aḷantapaṭi nilam [ai]ñcaraiye iraṇṭu mā mukkāṇi muntirikaikkīḻ a-raiye muntirikaikkīḻ araiye iraṇṭu māvilum Land B: line 9: iṟaiyili nilam nāṉku mākkā[ṇi ar]aikkāṇi muntirikaikkīḻ mā kāṇi araik-kāṇikkīḻ eṭṭu mā nīkki Land C: line 9 & Section 7, line 1: nilam aiñce
eṭṭu mākkāṇi araikkāṇikkīḻ eṇmāvarai araikkāṇi muntirikaikkīḻ nāṉku māviṉāl
Land (A) = 5 + 1/2 + 2/20 + 3/80 + 1/320 + {1/320 * (1/2 + 1/320)} + {1/320 * (1/2 + 2/20)} = 5 + 65953/102400
Tax-free land (B) = 4/20 + 1/80 + 1/160 + 1/320 + {1/320 * (1/20 + 1/80 + 1/160)} + (1/320 * 8/20) = 22870/102400
Taxable land (C) = 5 + 8/20 + 1/80 + 1/160 + {1/320 * (8/20 + 1/40 + 1/160 + 1/320)} + (1/320 * 4/20) = 5 + 43083/102400
1. 1/320 * (1/2 + 1/320)
2. 1/320 * (1/2 + 2/20)
1. 1/320 * (1/20 + 1/80 + 1/160)
1. 1/320 * (8/20 + 1/40 + 1/160 + 1/320)
2. 1/320 * 4/20
535 kalam + 2 tūṇi + 1 patakku + 4 nāḻi paddy
5 + 43083/102400 units of land = 535 kalam + 2 tūṇi + 1 patakku + 4 nāḻi paddy
5.42 units of land = 535.875 kalam of paddy
1: 98.869 (98.869 kalam of paddy taxed for 1 unit of land)
C = A-B (Adds up).
15
Maṇaṟkālappaḷḷiyoṭu eṟiṉa peṇpaḷḷi
Land A: line 5-7: aḷantapaṭi nilam aiympattoṉṟe mukkāle orumākkāṇi muntarikaikkīḻ mukkāle mummāvaraiyar[ai]kk[ā]ṇikkīḻ araiyilum Land B: line 7 - 9: iiṟai-yili nīṅkunilam oṉṟe mukk[ā]le iraṇṭu mākkāṇi muntirikaikkīḻ araiye iraṇṭu mākkāṇikkīḻ mukkāl[e o]rumā nīkki Land C: line 9 & Section 8, line 1: nāṟpattonpate mukkāle nāṉku māviṉ kīḻ āṟu mākkāṇi muntirikaikkīḻ araiye nāṉku māviṉāl
Land (A) = 51 + 3/4 + 1/20 + 1/80 + 1/320 + {1/320 * (3/4 + 3/20 + 1/40 + 1/160)} + (1/320 * 1/2) = 51 + 83978/102400
Tax-free land (B) = 1 + 3/4 + 2/20 + 1/80 + 1/320 + {1/320 * (1/2 + 2/20 + 1/80)} + {1/320 * (3/4 + 1/20)} = 1 + 89092/102400
Taxable land (C) = 49 + 3/4 + 4/20 + {1/320 * 6/20 + 1/80 + 1/320)} + {1/320 * (1/2 + 4/20)} = 49 + 97605/102400
1. 1/320 * (3/4 + 3/20 + 1/40 + 1/160)
2. 1/320 * 1/2
1. 1/320 * (1/2 + 2/20 + 1/80)
2. 1/320 * (3/4 + 1/20)
1. 1/320 * (6/20 + 1/80 + 1/320)
2. 1/320 * (1/2 + 4/20)
. .918 kalam + 2 tūṇi + 3 kuṟuṇi + 1 nāḻi paddy
49 + 97605/102400 units of land = X hundred + 918 kalam + 2 tūṇi + 3 kuṟuṇi + 1 nāḻi paddy
Seeing 1: 100 ratio approximately from other calculations, we may assume X hundred = forty hundred. 49.95 units of land = 4000 kalam + 918.927 kalam of paddy
1: 98.477 (98.477 kalam of paddy taxed for 1 unit of land)
C = A-B (Does not add up. Expected 97286/102400).
16
Neṟkuppai
Land A: line 2-3: ni*lam muppattoṉpate mukkāṇi araikkāṇi muntirikaikkīḻ arai[ye] araikkāṇi muntirikaikkīḻ nāṉku māvilum Land B: line 4-5: iṟaiyili nīṅkunilam oṉṟaraiye mummāvarai araikkāṇikkīḻ araiye orumā a[raikkāṇi*] muntirikaikkīḻ nāṉku mā nīkki Land C: line5: nilam muppatteḻe eḻumākkāṇik[kīḻ] mukkāle nāṉku māviṉāl
Land (A) = 39 + 3/80 + 1/160 + 1/320 + {1/320 * (1/2 + 1/160 + 1/320)} + (1/320 * 4/20) = 39 + 50270/102400
Tax-free land (B) = 1 + 1/2 + 3/20 + 1/40 + 1/160 + {1/320 * (1/2 + 1/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 1 + 70003/102400
Taxable land (C) = 37 + 7/20 + 1/80 + {1/320 * (3/4 +4/20)} = 37+ 37424/102400
1. 1/320 * (1/2 + 1/160 + 1/320)
2. 1/320 * 4/20
1. 1/320 * (1/2 + 1/20 + 1/160 + 1/320)
2. 1/320 * 4/20
1/320 * (3/4 + 4/20)
3722 kalam + 5 nāḻi paddy
37 + 37424/102400 units of land = 3722 kalam + 5 nāḻi paddy
37.37 units of land = 3722.052 kalam of paddy
1: 99.6 (99.6 kalam of paddy taxed for 1 unit of land)
C = A-B (Does not add up. Expected 82667/102400).
17
Maruttuvakkuṭi
Land A: line 6: aḷantapaṭi nilam [muppa*]taraiye nāṉku mā mukkāṇi araikkāṇikkīḻ araiye mūṉṟu mā[vilu]m Land B: line 8: iṟaiyili nīṅkunilam mukkāle iraṇṭu mā araikkāṇik-kīḻ o[ru]māvarai muntirikai nīkki Land C: line 8-9: nilam irupattoṉpate mukkāle i-raṇṭu mā mukkāṇikkīḻ arai[ye oru*] mā kāṇi araikkāṇi muntirikaiyiṉāl
Land (A) = 30 + 1/2 + 4/20 + 3/80 +1/160 + {1/320 * (1/2 + 3/20)} = 30 + 76368/102400
Tax-free land (B) = 3/4 + 2/20 + 1/160 + {1/320 * (1/20 + 1/40 + 1/320)} = 87705/102400
Taxable land (C) = 29 + 3/4 + 2/20 + 3/80 + {1/320 * (1/2 + 1/20 + 1/80 + 1/160 + 1/320)} = 29 + 91063/102400
1/320 * (1/2 + 3/20)
1/320 * (1/20 + 1/40 + 1/320)
1/320 * (1/2 + 1/20 + 1/80 + 1/160 + 1/320)
2967 kalam + 2 tūṇi + 1 patakku + 2 nāḻi paddy
29 + 91063/102400 units of land = 2967 kalam + 2 tūṇi + 1 patakku + 2 nāḻi paddy
29.89 units of land = 2967.854 kalam of paddy
1: 99.292 (99.292 kalam of paddy taxed for 1 unit of land)
C = A-B (Adds up). Numerator of Land C is a composite number with 7, 13009 as its factors both of which are prime numbers.
SOUTH INDIAN INSCRIPTIONS VOLUME II INSCRIPTION NO. 5
18
Karuppūr
Land A: line 2: [ vaṭakarairāje*] ndraciṅkavaḷanāṭṭu75 iṉṉamparnāṭṭukkaruppūrttevatāṉamuñcālā-pokamum nī[k]ki veḷḷāṉ vakaiyāy varukiṉṟa nilam aiñcaraiye nāṉku mākkāṇi araikkāṇi muntirikaikkīḻ araiye arai mā arai-kkāṇi muntirikaikkīḻ araiye orumāvilum
Land A = 5 + ½ + 4/20 + 1/80 + 1/160 + 1/320 + {1/320 * (1/2 + 1/40 + 1/160 + 1/320)} + (1/320) * {1/2 + 1/20} = 5+ 74267/102400
–––––––
–––––––
1/320 * (1/2 + 1/40 + 1/160 + 1/320)
–––––––
–––––––
549 kalam +7 kuṟuṇi + 4 nāḻi paddy
5+ (74267/102400) units of land = 549 kalam +7 kuṟuṇi + 4 nāḻi paddy
5.73 units of land = 549.625 kalam of paddy
1: 95.92 (95.92 kalam of paddy taxed for 1 unit of land)
Land A forms the portion of cultivators after removing all the non-taxable sites
19
[Ti]ruttevaṉkuṭi
Land A: line 2: iṟaiyili-yāka nīkkiṉa nilaṉ potuve aṉubhavikka[kkaṭava*]tāka niṅkal nīkki aḷantapaṭi nilam irupattoṉpate kāle mukkāṇi muntirikaikkīḻ nāṉku mākkāṇi araikkāṇikkīḻ kāle arai māviṉāl
Land A = 29 + 1/4 + 3/80 + 1/320 + {1/320 * (4/20 + 1/80 + 1/160)} + {1/320 * (1/4 + 1/40) = 29 + 14959/51200
–––––––
–––––––
1. 1/320 * (4/20 + 1/80 + 1/160)
2. 1/320 * (1/4 + 1/40)
–––––––
–––––––
29.5 kalam +2 tūṇi + 1 nāḻi paddy
29 + 14959/51200 units of land = 29..5 kalam +2 tūṇi + 1 nāḻi paddy
29.29 units of land = 29.5.677 kalam of paddy
1: 99.886 (99.886 kalam of paddy taxed for 1 unit of land assuming that the missing digit is 2. i.e. Total paddy taxed is 2925.677 kalam)
Land A forms the portion of cultivators after removing all the non-taxable sites
Registered tax value measured in paddy is missing a digit
20
Ku[ṟuv]āṇiyakkuṭi
Land A: line 3:aḷantapaṭi nilam nāṟpa[t]tāṟe arai māvaraikkāṇikkīḻ muṉṟu mā mukkāṇikkī[ḻ muk]kāle orumāvi-lum Land B: line 3: [missing in the inscription] Land C: line 3: iṟai kaṭṭiṉa nilam muppattoṉpatarai[ye muṉ]ṟu mākk[ā]ṇi araikkāṇikkīḻ mukkā[l]e nāṉku mā mukkāṇikkiḻ mukkāle orumāviṉāl
Land (A) = 46 + 1/40 + 1/80 + {1/320 * (3/20 + 3/80)} + {1/320 * (3/4 + 1/20)} = 46 + 1039/25600
Tax-free land (B) = not available in the inscription
Taxable land (C) = 39 + 1/2 + 3/20 + 1/80 + 1/160 + {1/320 * (3/4 + 4/20 + 3/80)} + {1/320 * (3/4 + 1/20)} = 39 + 17263/25600
1. 1/320 * (3/20 + 3/80)
2. 1/320 * (3/4 + 1/20)
1. 1/320 * (3/4 + 4/20 + 3/80)}
2. {1/320 * (3/4 + 1/20)
304 kaḻañcu +2 māñcāṭi + 9 mā + arai gold
39 + (17263/25600) units of land = 304 kaḻañcu +2 māñcāṭi + 9 mā + arai gold
39.674 units of land = 304.2475 kaḻañcu of gold
1: 7.668 (7.668 kaḻañcu of gold for 1 unit of land)
C = A-B (Adds up). Numerator of Land C is a composite number with 7, 13009 as its factors both of which are prime numbers.
Registered tax measured in gold
21
Āṉpaṉūr
Land A: line 3:aḷantapaṭi nilam eṇpatey mukkāliṉ kīḻ araiye nāṉku mā araik-kāṇi muntirikaikkīḻ nāṉku māvilum Land B: line 4: iṟaiyili nīṅkunilam nāṉk[e mu]kkāle muṉṟu mā mukkāṇi muntirikaikkīḻkkāle••••• [kīḻ araiye-yiraṇṭu mā nī]kki Land C: line 4: ni[lam e]ḻu[pattaiñce muk]kāle [o]•• •••• [mā]varai mu[nti]rikaikkīḻ araiye iraṇṭu māviṉāl
Land (A) = 80 + 3/4 + {1/320 * (1/2 + 4/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 80 + 77091/102400
Tax-free land (B) = 4 + 3/4 + 3/20 + 3/80 + 1/320 + {1/320 * (1/4 + . . .) + {1/320 * (1/2 + 2/20) = 4 + 377/400 + 1/1280 * X
Taxable land (C) = 75 + 3/4 + Y + {1/320 * (1/2 + 2/20)} = 75 + 1203/1600 + Y
1. 1/320 * (1/2 + 4/20 + 1/160 + 1/320)
2. 1/320 * 4/20
2. 1/320 * (1/2 + 2/20)
1/320 * (1/2 + 2/20)
5850 kalam + 2 tūṇi + 1 kuṟuṇi + 1 nāḻi paddy
Y value is missing. So it is not possible to calculate the rate of taxation. However, it is clear that for a total of ≈75 units of land, the tax is ≈5850. So the ratio is clearly not close to 1: 100 unlike other calculations
The ratio of the land measured and the tax measured in paddy is different compared to that in other calculations.
22
īṅkaiyūr
Land A: line 4:aḷantapaṭi nilam nāṟpattaiñcaraiye arai mā araikkāṇikkīḻ araiyilum Land B: line 5: iṟaiili nīṅkunilam iraṇṭe mukkāl nīkki Land C: line 5: nilam nāṟpattiraṇṭe mukkāle [arai] m[ā] araikkāṇikkīḻ arai-yiṉāl
Land (A) = 45 + 1/2+ 1/40 + 1/160 + (1/320 *1/2) = 45 + 341/640
Tax-free land (B) = 2 + 3/4
Taxable land (C) = 42 + 3/4 + 1/40 + 1/160 + (1/320 * 1/2) = 42 + 501/640
1/320 *1/2
1/320 * 1/2
4278 kalam + 3 kuṟuṇi + 4 nāḻi paddy
42 + (501/640) units of land = 4278 kalam + 3 kuṟuṇi + 4 nāḻi paddy
42.78 units of land = 4278.292 kalam of paddy
1: 100.006 (100.006 kalam of paddy taxed for 1 unit of land)
C = (A-B. Adds up).
23
Paṇamaṅkalam
Land A: line 5: aḷantapaṭi nilam nāṟpattiraṇṭe eṇ[mā]••••• [kkī]ḻ eṭṭu [mā] mukkāṇikkīḻ mukkāle orumāvilum Land B: line 5-6: iṟaiili nīṅku-nilam oṉṟaraiye iraṇṭu mā.• muntirikaikkīḻ araiye orumā araikkāṇi muntirikaikkiḻ nāṉku mā nīkki Land C: line 3: nilam nāṟpate mukkāle mukkāṇi muntirikaikkīḻ mukkāle irumāvarai muntirikaikkīḻ araiye iraṇṭu māvi[ṉā]l
Land (A) = 42 + 8/20+ X + {1/320 * (8/20 + 3/80)} + {1/320 * (3/4 + 1/20)} = 42 + 10339/25600 + X
Tax-free land (B) = 1 + 1/2 + 2/20 + Y + 1/320 + {1/320 * (1/2 + 1/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 1 + 62003/102400 + Y
Taxable land (C) = 40 + 3/4 + 3/80 + 1/320 + {1/320 * (3/4 + 2/20 + 1/40 + 1/320) + {1/320 * (1/2 + 2/20)} = 40 + 81433/102400
1. 1/320 * (8/20 + 3/80)
2. 1/320 * (3/4 + 1/20)
1. 1/320 * (1/2 + 1/20 + 1/160 + 1/320)
2. 1/320 * 4/20
1. 1/320 * (3/4 + 2/20 + 1/40 + 1/320)
2. 1/320 * (1/2 + 2/20)
4072 kalam + 1 kuṟuṇi + 7 nāḻi paddy
40 + (81433/102400) units of land = 4072 kalam + 1 kuṟuṇi + 7 nāḻi paddy
40.80 units of land = 4072.156 kalam of paddy
1: 99.807 (99.807 kalam of paddy taxed for 1 unit of land)
X and Y fractional values in the calculations are missing.
24
Cātta[n-p]āṭi
Land A: line 7:aḷantapaṭi nilam pattoṉpate orumā araikkāṇi [munti]rikai-kkīḻ nāṉku mā mukkāṇi araikk[ā*]ṇikkīḻ eṭṭu [m]āvilum Land B: line 7: āka iṟai[yili] nīṅ[ku]nilam nāṉku mākkāṇi araikkāṇikkīḻ mukkāle orumā nīkki Land C: line 7: nilam patiṉe-ṭṭe mukkāley orumā mukkāṇikkīḻ eṭṭu mā mukkāṇi araikkāṇik-kīḻ eṭṭu mā[vi]ṉāl
Land (A) = 19 + 1/20 + 1/160 + 1/320 + {1/320 * (4/20 + 3/80 + 1/160)} + (1/320 * 8/20) = 19 + 3143/51200
Tax-free land (B) = 4/20 + 1/80 + 1/160 + {1/320 * (3/4 + 1/20)} = 177/800
Taxable land (C) = 18+ 3/4 + 1/20 + 3/80 + {1/320 * (8/20 + 3/80 + 1/160) + (1/320 * 8/20) = 18 + 8603/10240
1. 1/320 * (4/20 + 3/80 + 1/160)
2. 1/320 * 8/20
1. 1/320 * (3/4 + 1/20)
1. 1/320 * (8/20 + 3/80 + 1/160)
2. 1/320 * 8/20
1883 kalam + 2 tūṇi+ 3 kuṟuṇi paddy
18 + (8603/10240) units of land = 1883 kalam + 2 tūṇi+ 3 kuṟuṇi paddy
18.84 units of land = 1883.917 kalam of paddy
1: 99.995 (99.995 kalam of paddy taxed for 1 unit of land)
C = (A-B. Adds up).
25
*kkaṉkuṭi
Land A: line 7:aḷantapaṭi nilam nāṉke mukkāle iraṇṭu mā mukkāṇikkīḻ āṟu mā mukkāṇikkīḻ mūṉṟu mā araikkāṇi muntiri-kaikkīḻ nāṉku māvilum Land B: line 7: iṟaiyili nīṅkunnilam mummāvarai muntiri[kai]kkīḻ nāṉku māva-raikkāṇikkīḻ mukkāle irumāvarai [mu]ntirikaikkīḻ araiye iraṇṭu mā nīkki Land C: line 7: nilam n[ā]ṉkaraiye nāṉku mā araikkāṇi muntirikaik[kīḻ] iru-māvarai muntirikaikkīḻ kāle arai mā muntirikaik[kīḻ] araiye ira-ṇṭu māviṉāl
Land (A) = 4 + 3/4 + 2/20 + 3/80 + {1/320 * (6/20 + 3/80)} + {1/320 * (3/20 + 1/160 + 1/320)} + (1/320) * {4/20} = 4 + 91103/102400
Tax-free land (B) = 3/20 + 1/40 + 1/320 + {1/320 * (4/20 + 1/160)} + {1/320 * (3/4 + 2/20 + 1/40 + 1/320)} + {1/320) * (1/2 + 2/20)} = 18779/102400
Taxable land (C) = 4+ 1/2 + 4/20 + 1/160 + 1/320 + {1/320 * (2/20 + 1/40 + 1/320) + {1/320 * (1/4 + 1/40 + 1/320)} + {1/320 * (1/2 + 2/20)} = 4 + 36481/51200
1. 1/320 * (6/20 + 3/80)
2. 1/320 * (3/20 + 1/160 + 1/320)
1. 1/320 * (4/20 + 1/160)
2. 1/320 * (3/4 + 2/20 + 1/40 + 1/320)
3. 1/320) * (1/2 + 2/20)
1. 1/320 * (2/20 + 1/40 + 1/320
2. 1/320 * (1/4 + 1/40 + 1/320)
3. 1/320 * (1/2 + 2/20)
469 kalam + 1 tūṇi + 1 nāḻi paddy
4 + (36481/51200) units of land = 469 kalam + 1 tūṇi + 1 nāḻi paddy
4.71 units of land = 469.344 kalam of paddy
1: 99.648 (99.648 kalam of paddy taxed for 1 unit of land)
C = (A-B). Does not add up (The taxable land should be 36162/51200) => 319 difference
26
Māntoṭṭam
Land A: line 7:aḷantapaṭi nilam patiṉaiñcaraiye kāṇi araikkāṇi munti-rikaikkīḻ araiye mummāvarai muntirikaikkīḻ araiye iraṇṭu māvilum Land B: line 7- 8: iṟaiyili nīṅkunnilam mukkāle nāṉku mā araikkāṇikkīḻ eḻumā araikkāṇi muntirikaikkīḻ [nāṉku*] mā [nī]kki Land C: line 7: [nilam pati]ṉāṉkaraiye mā kāṇi muntirikaikkīḻ āṟu mākkāṇi araikkāṇikkīḻ eṭṭu māviṉāl
Land (A) = 15 + 1/2 + 1/80 + 1/160 + 1/320 + {1/320 * (1/2 + 3/20 + 1/40 + 1/320)} + {1/320 * (1/2 + 2/20)} = 15 + 53849/102400
Tax-free land (B) = ¾ + 4/20 + 1/160 + {1/320 * (7/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 98099/102400
Taxable land (C) = 14+ 1/2 + 1/20 + 1/80 + 1/320 + {1/320 * (6/20 + 1/80 + 1/160)} + (1/320 * 8/20) = 14 + 1163/2048
1. 1/320 * (1/2 + 3/20 + 1/40 + 1/320)
2. 1/320 * (1/2 + 2/20)
1. 1/320 * (7/20 + 1/160 + 1/320)
2. 1/320 * 4/20
1. 1/320 * (6/20 + 1/80 + 1/160)
2. 1/320 * 8/20
1456 kalam + 5 kuṟuṇi + 1 nāḻi paddy
14 + (1163/2048) units of land = 1456 kalam + 5 kuṟuṇi + 1 nāḻi paddy
14.57 units of land = 1456.427 kalam of paddy
1: 99.960 (99.960 kalam of paddy for 1 unit of land)
C = (A-B. Adds up).
27
Iṟaiyāṉceri
Land A: line 8:aḷantapaṭi nilam paṉṉiraṇṭa-raiye irumāvarai muntirikaikkīḻ kāle mu[kk]āṇikkīḻ mukkāle oru-māvilum Land B: line 8: iṟaiyili nīṅkunilam mukkāle iraṇṭu mākkāṇi araikkāṇikkīḻ arai-ye mūṉṟu māviṉ kīḻ mūṉṟu mā araikkāṇi muntirikaikkīḻ mukkā-ṇikkīḻ mukkāle orumā nīkki Land C: line 8: nilam patiṉoṉṟe mukkāle araikkāṇi-kkīḻ ar[ai]ye iraṇṭu mā mukkāṇikkīḻ araiye iraṇṭu mā muk-kāṇikkīḻ mukkāle nāṉku mā araikkāṇi muntirikaikkīḻ nā[ṉku māvi*]ṉāl
Land (A) = 12 + 1/2 + 2/20 + 1/40 + 1/320 + {1/320 * (1/4 + 3/80)} + {1/320 * (3/4 + 1/20)} = 12 + 16167/25600
Tax-free land (B) = ¾ + 2/20 + 1/80 + 1/160 + {1/320 * (1/2 + 3/20)} + {1/320 * (3/20 + 1/160 + 1/320)} + (1/320 * 3/80) + {1/320 * (3/4 + 1/20)} = 89487/102400
Taxable land (C) = 11+ 3/4 + 1/160 + {1/320 * (1/2 + 2/20 + 3/80)} + {1/320 * (1/2 + 2/20 + 3/80)} + {1/320 * (3/4 + 4/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 11 + 78219/102400
1. 1/320 * (1/4 + 3/80)
2. 1/320 * (3/4 + 1/20)
1. 1/320 * (1/2 + 3/20)
2. 1/320 * 3/80
3. 1/320 * (3/4 + 1/20)
1. 1/320 * (1/2 + 2/20 + 3/80)
2. 1/320 * (1/2 + 2/20 + 3/80)
3. 1/320 * 4/20
1169 kalam + 2 kuṟuṇi + 2 nāḻi + 1 uri paddy
11 + (78219/102400) units of land = 1169 kalam + 2 kuṟuṇi + 2 nāḻi + 1 uri paddy
11.76 units of land = 1169.192 kalam of paddy
1: 99.421 (99.421 kalam of paddy taxed for 1 unit of land)
C = (A-B.Does not match. Expected 77631/102400)
Interesting usage āyirattu toṇṇūṟṟu aṟupattoṉpatiṉ kalaṉe to mean 969 kalam instead of toḷḷāyiram
Measurement of paddy goes as low as uri)
For Land (C), the first and second kīḻ series are the same, possibly duplicated.
28
Veṇkoṉkuṭi
Land A: line 10: aḷantapaṭi nilam [ai]mpate eḻu-mākkāṇikkīḻ mukkāle orumāvilum Land B: line 10: iṟaiyili nīṅkunilam iraṇṭe kāle kāṇikkīḻ orumāvarai araikkāṇi muntirikaikkīḻ araiye iraṇṭu mā nīkki Land C: line 10: nilam nāṟpatteṭṭe iraṇṭu māviṉ kīḻ araiye nāṉku mākkāṇikkīḻ eṭṭu māviṉāl
Land (A) = 50 + 7/20 + 1/80 + {1/320 * (3/4 + 1/20)} = 50 + 37376/102400
Tax-free land (B) = 2 + 1/4 + 1/80 + {1/320 * (1/20 + 1/40 + 1/160 + 1/320)} + {1/320 * (1/2 + 2/20)} = 2 + 27099/102400
Taxable land (C) = 48 + 2/20 + {1/320 * (1/2 + 4/20 + 1/80)} + (1/320 * 8/20) = 48 + 10596/102400
1/320 * (3/4 + 1/20)
1. 1/320 * (1/20 + 1/40 + 1/160 + 1/320)
2. 1/320 * (1/2 + 2/20)
1. 1/320 * (1/2 + 4/20 + 1/80)
2. 1/320 * 8/20
4784 kalam + 2 tūṇi + 6 nāḻi paddy
48 + (10596/102400) units of land = 4784 kalam + 2 tūṇi + 6 nāḻi paddy
48.10 units of land = 4784.729 kalam of paddy
1: 99.474 (99.474 kalam of paddy taxed for 1 unit of land)
C = (A-B) (Does not add up) Expected 10277/102400 (Even with Hultzch’s translation, this doesn’t match)
29
Mākāṇikuṭi
Land A: line 1: aḷantapaṭi nilam irupa-ttu mūṉṟaraiye [mū]ṉṟu mā araikkāṇikkīḻ kāṇi araikkāṇikkīḻ eṭṭu māvilum Land B: line 1: iṟaiyili nīṅku-nilam oṉpatu mā mukkāṇi araikkāṇi muntirikaikkīḻ oṉpatu mā araikkāṇi muntirikaikkīḻ nāṉku mā nīkki Land C: line 1: nilam irupattu mūṉṟe mūṉṟu mā araikkāṇikkīḻ araiye orumā araikkāṇi muntirikaikkīḻ nāṉku māviṉāl
Land (A) = 23 + 1/2 + 3/20 + 1/160 + {1/320 * (1/80 + 1/160)} + (1/320 * 8/20) = 23 + 33667/51200
Tax-free land (B) = 9/20 + 3/80 + 1/160 + 1/320 + {1/320 * (9/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 51091/102400
Taxable land (C) = 23 + 3/20 + 1/160 + {1/320 * (1/2 + 1/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 23 + 16243/102400
1. 1/320 * (1/80 + 1/160)
2. 1/320 * 8/20
1. 1/320 * (9/20 + 1/160 + 1/320)
2. 1/320 * 4/20
1. 1/320 * (1/2 + 1/20 + 1/160 + 1/320)
2. 1/320 * 4/20
2315 kalam + 1 kuṟuṇi paddy
23 + (16243/102400) units of land = 2315 kalam + 1 kuṟuṇi paddy
23.16 units of land = 2315.083 kalam of paddy
1: 99.96 (99.96 kalam of paddy taxed for 1 unit of land)
C = (A-B) (Adds up)
30
Ciṟucempuṟai
Land A: line 2: aḷantapaṭi nilam āṟaraiye mummāvarai muntiri[k]aikkīḻ araiye nāṉku mā mukkāṇi araikkāṇi muntirikaiyilum Land B: line 2: iṟaiyili nīṅkunilam eḻumā[k]kāṇikkīḻ eḻumāvaraikkāṇi muntirikaikkīḻ nāṉku mā [nī]kki Land C: line 2: nilam āṟe aṟumākkāṇi muntirikaikkīḻ eḻumāvarai araikkāṇi muntirikaikkīḻ mukkāle orumāviṉāl
Land (A) = 6 + 1/2 + 3/20 + 1/40 + 1/320 + {1/320 * (1/2 + 4/20 + 3/80 + 1/160 + 1/320)} = 6 + 69679/102400
Tax-free land (B) = 7/20 + 1/80 + {1/320 * (7/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 37299/102400
Taxable land (C) = 6 + 6/20 + 1/80 + 1/320 + {1/320 * (7/20 + 1/40 + 1/160 + 1/320)} + {1/320 * (3/4 + 1/20)} = 6 + 32699/102400
1/320 * (1/2 + 4/20 + 3/80 + 1/160 + 1/320)
1. 1/320 * (7/20 + 1/160 + 1/320)
2. 1/320 * 4/20
1. 1/320 * (7/20 + 1/40 + 1/160 + 1/320)
2. 1/320 * (3/4 + 1/20)
612 kalam + 1 patakku paddy
6 + (32699/102400) units of land = 612 kalam + 1 patakku paddy
6.32 units of land = 612.167 kalam of paddy
1: 96.861 (96.861 kalam of paddy taxed for 1 unit of land)
C = (A-B) (Does not add up) => Expected 6 + (32380/102400)
31
Tuṟaiyūr
Land A: line 2: nilaṉ nūṟṟaimpattiraṇṭe mukkāle araikkāṇi muntirikaikkīḻ araiye mūṉṟu mākkāṇikkīḻ mukkāle mūṉṟu mā mukkāṇiyilum Land B: line 3: iṟaiyili nīṅkunilaṉ mūṉṟe kāṇi araikkāṇikkīḻ mukkāle iraṇṭu mā muk-kāṇi araikkāṇi muntirikaikkīḻ eḻumā araikkāṇi muntirikaikkīḻ nāṉku mā nīkki Land C: line 3: nilaṉ nūṟṟu nāṟpattoṉpataraiye nāṉku mā mukkā-ṇikkīḻ mukkāle kāṇi muntirikaikkīḻ araiye orumāvaraikkīḻ mukkā-le orumāviṉāl
Land (A) = 152 + 3/4 + 1/160 + 1/320 + {1/320 * (1/2 + 3/20 + 1/80)} + {1/320 * (3/4 + 3/20 + 3/80)} = 152 + 78272/102400
Tax-free land (B) = 3 + 1/80 + 1/160 + {1/320 * (3/4 + 2/20 + 3/80 + 1/160 + 1/320)} + {1/320 * (7/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 3 + 2386/102400
Taxable land (C) = 149 + 1/2 + 4/20 + 3/80 + {1/320 * (3/4 + 1/80 + 1/320)} + {1/320 * (1/2 + 1/20 + 1/40)} + {1/320 * (3/4 + 1/20)} = 149 + 76205/102400
1. 1/320 * (1/2 + 3/20 + 1/80)
2. 1/320 * (3/4 + 3/20 + 3/80)
1. 1/320 * (3/4 + 2/20 + 3/80 + 1/160 + 1/320)
2. 1/320 * (7/20 + 1/160 + 1/320)
3. 1/320 * 4/20
1. 1/320 * (3/4 + 1/80 + 1/320)
2. 1/320 * (1/2 + 1/20 + 1/40)
3. 1/320 * (3/4 + 1/20)
14888 kalam + 1 tūṇi + 1 patakku + 1 nāḻi paddy
149 + (76205/102400) units of land = 14888 kalam + 1 tūṇi + 1 patakku + 1 nāḻi paddy
149.74 units of land = 14888.51 kalam of paddy
1: 99.429 (99.429 kalam of paddy taxed for 1 unit of land)
C = (A-B) (Does not add up) => Expected 149 + (75886/102400)
32
Kārimaṅkalam
Land A: line 4: nilaṉ patiṉoṉṟe oṉpatu mākkāṇikkīḻ mukkāle mukkāṇi muntirikaikkīḻ araiye iraṇṭu māvilum Land B: line 4: iṟaiyili nīṅkunilaṉ eḻumāvarai araikkāṇi muntirikaikkīḻ muk-kāle arai māvin kīḻ āṟu mākkāṇi araikkāṇikkīḻ eṭṭu mā nikki Land C: line 4: nilaṉ patiṉoṉṟe orumāvarai muntirikaikkīḻkkāṇi muntirikaikkīḻ kāle arai mā muntirikaikkīḻ araiye iraṇṭu māviṉāl
Land (A) = 11 + 9/20 + 1/80 + {1/320 * (3/4 + 3/80 + 1/320)} + {1/320) * (1/2 + 2/20)} = 11 + 47805/102400
Tax-free land (B) = 7/20 + 1/40 + 1/160 + 1/320 + {1/320 * (3/4 + 1/40)} + {1/320 * (6/20 + 1/80 + 1/160)} + (1/320 * 8/20) = 39838/102400
Taxable land (C) = 11 + 1/20 + 1/40 + 1/320 + {1/320 * (1/80 + 1/320)} + {1/320 * (1/4 + 1/40 + 1/320)} + {1/320 * (1/2 + 2/20)} = 11 + 8286/102400
1. 1/320 * (3/4 + 3/80 + 1/320)
2. 1/320) * (1/2 + 2/20)
1. 1/320 * (3/4 + 1/40)
2. 1/320 * (6/20 + 1/80 + 1/160)
3. 1/320 * 8/20
1. 1/320 * (1/80 + 1/320)
2. 1/320 * (1/4 + 1/40 + 1/320)
3. 1/320 * (1/2 + 2/20)
1083 kalam + 5 nāḻi paddy
11 + (8286/102400) units of land = 1083 kalam + 5 nāḻi paddy
11.08 units of land = 1083.052 kalam of paddy
1: 97.748 (99.748 kalam of paddy taxed for 1 unit of land)
C = (A-B) (Does not add up. Expected 7967/102400)
33
Veṇṇi
Land A: line 4 -5: nilaṉ irupatto-ṉṟaraiye araikkāṇi-
[5.] kkīḻ eṭṭu mā mukkāṇikkīḻ mukkāle orumāvilum Land B: line 5: iṟaiyili nīṅkunilaṉ nāle araikkāṇikkīḻ irumāva[rai] nīk[ki Land C: line 5: ni]laṉ patineḻaraiyiṉ kīḻ āṟu mākkāṇikkīḻ mukkāle orumāviṉāl
Land (A) = 21 + 1/2 + 1/160 + {1/320 * (8/20 + 3/80)} + {1/320 * (3/4 + 1/20)} = 21 + 52236/102400
Tax-free land (B) = 4 + 1/160 + {1/320 * (2/40 + 1/40)} = 4 + 664/102400
Taxable land (C) = 17 + 1/2 + {1/320 * (6/20 + 1/80)} + {1/320 * (3/4 + 1/20)} = 17 + 51556/102400
1. 1/320 * (8/20 + 3/80)
2. 1/320 * (3/4 + 1/20)
1/320 * (2/40 + 1/40)
1. 1/320 * (6/20 + 1/80)
2. 1/320 * (3/4 + 1/20)
93 kaḻañcu + 3 māñcāṭi + 4 mākkāṇi gold
17 + (51556/102400) units of land = 93 kaḻañcu + 3 māñcāṭi + 4 mākkāṇi gold
17.5 units of land = 93.321 kaḻañcu of gold
1: 5.33 (5.33 kaḻañcu of gold taxed for 1 unit of land)
C = (A-B) (Does not add up. Expected 51572/102400)
Tax measurement in terms of gold
34
Pūtamaṅkalam
Land A: line 5: nilaṉ irupattaiñce mukkāle irumāvarai araikkāṇi muntirikaikkīḻ mukkāle mūṉṟu mā mukkāṇi araikkāṇikkīḻ araiyilum Land B: line 5: iṟaiyili nīṅkunilaṉ araiye nālu mā mukkāṇi muntirikaikkīḻ oṉpatu mā mukkāṇi muntirikai nīkki Land C: line 5: nilaṉ irupattaiñce iraṇṭu mā mukkāṇi araikkāṇik[kī]ḻ oṉpatu mā muntirikaikkīḻ araiyiṉāl
Land (A) = 25 + 3/4 + 2/20 + 1/40 + 1/160 + 1/320 + {1/320 * (3/4 + 3/20 + 3/80 + 1/160)} + (1/320 * 1/2) = 25 + 91022/102400
Tax-free land (B) = 1/2 + 4/20 + 3/80 + 1/320 + {1/320 * (9/20 + 3/80 + 1/320)} = 75997/102400
Taxable land (C) = 25 + 2/20 + 3/80 + 1/160 + {1/320 * (9/20 + 1/320)} + (1/320 * 1/2) = 25 + 15025/102400
1. 1/320 * (3/4 + 3/20 + 3/80 + 1/160)
2. (1/320 * 1/2
1. 1/320 * (9/20 + 3/80 + 1/320)
1. 1/320 * (9/20 + 1/320)
2. 1/320 * 1/2
246 kaḻaṉcu + 1/2 + 3/20 + 3/80 gold
25+ (15025/102400) units of land = 246 kaḻaṉcu + 1/2 + 3/20 + 3/80 gold
25.15 units of land = 246.688 kaḻaṉcu of gold
1: 9.808 (9.808 kaḻaṉcu of gold taxed for 1 unit of land)
C = (A-B) (Adds up)
35
Pūtamaṅkalattuppāl mītuveli
Land A: line 6: nilaṉ mūṉṟe kāliṉ kīḻ eṭṭu māvilum Land B: line 6: iṟaiyili nīṅkunilaṉ nālu mākkāṇi araikkāṇi mun[tiri]kaikkīḻ mukkāle irumāvarai muntirikai-kkīḻ araiye iraṇṭu mā nīkki Land C: line 6: nilaṉ mūṉṟe arai m[ā]viṉ kīḻ araiye kāṇi araikkāṇikkīḻ eṭṭu mā[vi]ṉāl
Land (A) = 3 + 1/4 + (1/320 * 8/20) = 3 + 25728/102400
Tax-free land (B) = 4/20 + 1/80 + 1/160 + 1/320 + {1/320 * (3/4 + 2/20 + 1/40 + 1/320)} + {1/320 * (1/2 + 2/20)} = 23193/102400
Taxable land (C) = 3 + 1/2 + 1/20 + {1/320 * (1/2 + 1/80 + 1/160)} + (1/320 * 8/20) = 3 + 56614/102400
1/320 * 8/20
1. 1/320 * (3/4 + 2/20 + 1/40 + 1/320)
2. 1/320 * (1/2 + 2/20)
1. 1/320 * (1/2 + 1/80 + 1/160)
2. 1/320 * 8/20
30 kaḻaṉcu + 1/4 + 3/20 + 3/80 gold
3 + (56614/102400) units of land = 30 kaḻaṉcu + 1/4 + 3/20 + 3/80 gold
3.55 units of land = 30.4375 kaḻaṉcu of gold
1: 8.573 (8.573 kaḻaṉcu of gold taxed for 1 unit of land)
C = (A-B) (Does not add up. Expected 3553/102400)
Tax measurement in terms of gold
36
Kārikuṟicci
Land A: nilaṉ iraṇṭe mukkāle orumā mukkāṇi araikkāṇi muntirikaikkīḻ āṟu mā araikkāṇi muntirikaikkīḻ nāṉku māviṉāl
Land (A) = 2 + 3/4 + 1/20 + 3/80 + 1/160 + 1/320 + {1/320 * (6/20 + 1/160 + 1/320)} + (1/320 * 4/20) = 2 + 86883/102400
–––––––
–––––––
1. 1/320 * (6/20 + 1/160 + 1/320)
2. 1/320 * 4/20
–––––––
–––––––
28 kaḻaṉcu + 9 māñcāṭi + 7/20 + 1/40 gold
2 + (86883/102400) units of land = 28 kaḻaṉcu + 9 māñcāṭi + 7/20 + 1/40 gold
2.85 units of land = 28.9375 kaḻaṉcu of gold
1: 10.153 (10.153 kaḻaṉcu of gold taxed for 1 unit of land)
Directly taxable land is given
Tax measurement in terms of gold
37
Vaṭatāmarai
Land A: line 6: nilaṉ āṟe mukkāle iraṇṭu mākkāṇikkīḻ araiye arai mā muntirikaikkīḻ araiye ira-ṇṭu māvilum Land B: line 6: iṟaiyili nīṅkunilaṉ iraṇṭu mā araik-kāṇi muntirikaikkīḻ eṭṭu mā nīkki Land C: line 6: nilaṉ āṟe mukkāle muntirikai-kkīḻ irumāvarai muntirikaikkīḻ araiye iraṇṭu māviṉāl
Land (A) = 6 + 3/4 + 2/20 + 1/80 + {1/320 * (1/2 + 1/40 + 1/320)} + {1/320 * (1/2 + 2/40)} = 6 + 88665/102400
Tax-free land (B) = 2/20 + 1/160 + 1/320 + (1/320 * 8/20) = 11328/102400
Taxable land (C) = 6 + 3/4 + 1/320 + {1/320 * (2/20 + 1/40 + 1/320)} + {1/320 * (1/2 + 2/20)} = 6 + 77353/102400
1. 1/320 * (1/2 + 1/40 + 1/320)
2. 1/320 * (1/2 + 2/40)
1/320 * 8/20
1. 1/320 * (2/20 + 1/40 + 1/320)
2. 1/320 * (1/2 + 2/20)
64 kaḻaṉcu + 3/4 māñcāṭi + 8/20 + 3/80 gold
6 + (77353/102400) units of land = 64 kaḻaṉcu + 3/4 māñcāṭi + 8/20 + 3/80 gold
6.76 units of land = 64.119 kaḻaṉcu of gold
1: 9.485 (9.485 kaḻaṉcu of gold taxed for 1 unit of land)
C = (A-B) (Does not add up. Expected 77337/102400)
Tax measurement in terms of gold
38
Veṇṇittiṟappāṉpaḷḷi
Land A: line 7: nilaṉ āṟe mukkāle iraṇṭu mākkāṇikkīḻ araiye arai mā muntirikaikkīḻ araiye ira-ṇṭu māvilum Land B: line 7: iṟaiyili-nīṅkunilaṉ iraṇṭar[ai]ye nālu mā mukkāṇi araikkāṇi muntirikaikkīḻ mukkāl[e] mūṉṟu mākkāṇi arai-kkāṇikkīḻ eṭṭu mā nīkki Land C: line 7: nilaṉ e[ḻ]e mukkā[l]e iraṇṭu mākkāṇi araikkāṇikkīḻ araiye mūṉṟu mā mūkkāṇi78 araikkāṇikkīḻ eṭṭu māviṉāl
Land (A) = 10 + 1/2 + 2/20 + 1/80 + 1/160 + {1/320 * (1/2 + 2/20 + 1/80)} + {1/320 * (3/4 + 1/20)} = 10 + 63812/102400
Tax-free land (B) = 2 + 1/2 + 4/20 + 3/80 + 1/160 + 1/320 + {1/320 * (3/4 + 3/20 + 1/80 + 1/160)} + (1/320 * 8/20) = 2 + 76902/102400
Taxable land (C) = 7 + 3/4 + 2/20 + 1/80 + 1/160 + {1/320 * (1/2 + 3/20 + 3/80 + 1/160)} + (1/320 * 8/20) = 7 + 89310/102400
1. 1/320 * (1/2 + 2/20 + 1/80)
2. 1/320 * (3/4 + 1/20)
1. 1/320 * (3/4 + 3/20 + 1/80 + 1/160)
2. 1/320 * 8/20
1. 1/320 * (1/2 + 3/20 + 3/80 + 1/160)
2. 1/320 * 8/20
77 kaḻaṉcu + 3/4 māñcāṭi gold
7 + (89310/102400) units of land = 77kaḻaṉcu + 3/4 māñcāṭi gold
7.872 units of land = 77.075 kaḻañcu of gold
1: 9.791 (9.791 kaḻañcu of gold taxed for 1 unit of land)
C = (A-B) (Adds up)
39
veṇṇi + pūtamaṅkalam + pūtamaṅkalattuppāl mītuveli + nakarakkārikuṟicci + vaṭatāmarai + veṇṇitiṟappāṉpaḷḷi
Land A: line 7: nilaṉ eḻupate mukkāle nāṉmāvarai muntirikaikkīḻ nāṉku mā mukkāṇikkīḻ mukkāle mūṉṟu māvilum Land B: line 7:iṟaiyili nīṅkunilaṉ eḻe mukkāle orumāvarai araikkāṇikkīḻ mukkāle mā kāṇi muntirikai[kkīḻ]i Land C: line 7-8: nilaṉ arupattu mūṉṟe iraṇṭu mā mukkāṇi araikkāṇikkīḻ eṭṭu mākkāṇi araikkāṇi muntirikaikkīḻ mukkāle [mū]ṉṟu māviṉāl
Land (A) = 70 + 3/4 + 4/20 + 1/40 + 1/320 + {1/320 * (4/20 + 3/80)} + {1/320 * (3/4 + 3/20)} = 70 + 100524/102400
Tax-free land (B) = 7 + 3/4 + 1/20 + 1/40 + 1/160 + {1/320 * (8/20 + 1/80 + 1/160 + 1/320)} = 7 + 85381/102400
Taxable land (C) = 63 + 2/20 + 3/80 + 1/160 + {1/320 * (1/2 + 3/20 + 3/80 + 1/160 + 1/320)} + {1/320 * (3/4 + 3/20)} = 63 + 15231/102400
1. 1/320 * (4/20 + 3/80)
2. 1/320 * (3/4 + 3/20)
1/320 * (8/20 + 1/80 + 1/160 + 1/320)
1. 1/320 * (1/2 + 3/20 + 3/80 + 1/160 + 1/320)
2. 1/320 * (3/4 + 3/20)
541 kaḻañcu + 1 māñcāṭi + 8/20 gold
63 + (15231/102400) units of land = 541 kaḻañcu + 1 māñcāṭi + 8/20 gold
63.15 units of land = 541.14 kaḻaṉcu of gold
1: 8.569 (8.569 kaḻañcu of gold taxed for 1 unit of land)
C = (A-B) (Does not add up. Expected 15143/102400)
40
Koṭimaṅkalam
Land A: line 8: nilaṉ aimpattu mūṉṟe kāle arai mā muntirikaikkīḻ [a]raiye mūṉṟu mā araikkāṇiyilum Land B: line 8:iṟaiyili nīṅkunilaṉ iraṇṭaraiye orumāvarai arai-kkāṇikkīḻ mukkāle o[ru]m[ā]varai muntirikaikkīḻ araiye iraṇṭu māvum•••••iṟaiyili niṅkunilaṉ irumāvarai araikkāṇiyum•••••iṟaiyili nīṅkunilaṉ mukkāṇi araikkāṇikkīḻ araiye iraṇṭu mā mukkāṇīkkīḻ80 mukkāle orumāvum•••••āka iṟaiyili nīṅkunilaṉ iraṇṭe mukkāle araikkāṇi muntirikaikkiḻ oṉpatu [māk]kāṇi araikkāṇikkīḻ eṭṭu mā nīkki Land C: line 8-9: nilaṉ aimpataraiye kāṇi araikkāṇikkiḻ mummāvarai araikkāṇi muntirikaikkīḻ araiye iraṇṭu māviṉāl
Land (A) = 53 + 1/4 + 1/2 + 1/20 + 1/320 + {1/320 * (1/2 + 3/20 + 1/160)} = 53 + 82450/102400
Tax-free land (B) = 2 + 1/2 + 1/20 + 1/40 + 1/160 + {1/320 * (3/4 + 1/20 + 1/40 + 1/320)} + {1/320 * (1/2 + 2/20)} + 2/20 + 1/40 + 1/80 + 3/80 + 1/160 + {1/320 * (1/2 + 2/20 + 3/80)} + (1/320) * {3/4 + 1/20} = 2 + 78997/102400
Tax-free land total given in inscription (B2) = 2 + 3/4 + 1/160 + 1/320 + {1/320 * (9/20 + 1/80 + 1/160)} + (1/320 * 8/20) = 2 + 78038/102400
Taxable land (C) = 50 + 1/2 + 1/80 + 1/160 + {1/320 * (3/20 + 1/40 + 1/160 + 1/320)} + {1/320 * (1/2 + 2/20)} = 50 + 53371/102400
1/320 * (1/2 + 3/20 + 1/160)
1. 1/320 * (3/4 + 1/20 + 1/40 + 1/320)
2. 1/320 * (1/2 + 2/20)
1. 1/320 * (9/20 + 1/80 + 1/160)
2. 1/320 * 8/20
1. 1/320 * (3/20 + 1/40 + 1/160 + 1/320)
2. 1/320 * (1/2 + 2/20)
5051 kalam + 2 tūṇi + 3 kuṟuṇi + 4 nāḻi paddy
50 + (53371/102400) units of land = 5051 kalam + 2 tūṇi + 3 kuṟuṇi + 4 nāḻi paddy
1: 99.999 (99.99 kalam of paddy taxed for 1 unit of land)
50.52 units of land = 5051.958 kalam of paddy
B does not match with B2
C = (A-B) or (A-B1) (Do not add up.)
The values for Land (B) are given in two different sets of numbers, which implies that they must be added one to the other.
41
Ven[e]lviṭukupallavapuram
Land A: line 9: aḷantapaṭi nilaṉ irupatteḻe [mu]kkāle mummāvaraikkīḻ araiye arai māviṉ kīḻ eṭṭu m[ā]vilum Land B: line 9:iṟaiili nīṅkunilaṉ eḻaraiye irumā-varai muntirikaikkīḻ araiye nāṉku mā mukkāṇi araikkāṇik[kī]ḻ eṭṭu mā nīkki Land C: line 9: nilaṉ irupate kāle mukkāṇi araikkāṇikkīḻ mukkāle arai mā araikkāṇiyiṉāl
Land (A) = 27 + 3/4 + 3/20 + 1/40 + {1/320 * (1/2 + 1/40) + (1/320 * 8/20) = 27 + 95016/102400
Tax-free land (B) = 7 + 1/2 + 2/20 + 1/40 + 1/320 + {1/320 * (1/2 + 4/20 + 3/80 + 1/160)} + (1/320 * 8/20) = 7 + 64686/102400
Taxable land (C) = 20 + 1/4 + 3/20 + 1/160 + {1/320 * (3/4 + 1/40 + 1/160)} = 20 + 41850/102400
1. 1/320 * (1/2 + 1/40)
2. 1/320 * 8/20
1. 1/320 * (1/2 + 4/20 + 3/80 + 1/160)
2. (1/320 * 8/20)
1/320 * (3/4 + 1/40 + 1/160)
167 kaḻañcu + ½ kaḻañcu + 3 māñcāṭi + 2/20 + 1/40 gold
20 + (41850/102400) units of land = 167 kaḻañcu + ½ kaḻañcu + 3 māñcāṭi + 2/20 + 1/40 gold
20.41 units of land = 167.8125 kaḻañcu of gold
1: 8.222 (8.222 kaḻañcu of gold taxed for 1 unit of land)
C = (A-B) (Do not add up. Expected 30330/102400)