पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)

ANSWERS TO EXAMPLES 93

1. 55 ; 210 ; 465 ; 820 ; 1275 ; 1830 ; 2485 ; 3240 ; 4095 ;
2. 10 ; 20 ; 30 ; 40 ; 50 ; 60 ; 70 ; 80 ; 90 ; 100.
3. 4995 ; 4840 ; 4585 ; 4230 ; 3775 ; 3220 ; 2565 ; 1810 ; 955 ; 0.
4. 27216 ; 33152 ; 483900 . 4. 1, 4, 9, 16, 25, 36, 49, 64, 81, 625, 1296,
   3969, 186624, and 60871204. 5. 1 ; 8 ; 27 ; 64 ; 125 ; 216 ; 343 ; 512 ;
   729 ; 3375 ; 16777216 ; and 8365427. 6. 1 1/12 ; 11 1/4 . 7. 1 7/8 ; 3/8 ; 3/4 .
5. 1/4 ; 1/6 . 9. 13 1/2 . 10. 3 3/4 ; 150 2/5 . 11. 2 1/2 ; 17 5/14 . 12. 6 1/4 ;
   232 9/16 ; 1/4 ; 1/9 . 13. 421 7/8 ; 5132 61/64 ; 5/64 ; 2/7 . 14. 1 9/20 ; 5 1621/25200 .
6. 3103/25200 . 16. 30 . 17. 5 11/16 . 18. 15 1/12 . 19. 5 15/16 . 20. 12 11/12 .
7. 1 13/16 . 22. 5 347/6400 purâṇas. 23. 4 23/48 . 24. 10 11/12 . 25. 7 7/10
   paṇas ; or 4 purâṇas, 13 paṇas, 2 kâkiṇîs, and 16 varâṭakas. 26. 10 1/4 palas ;
   or 10 palas, 1 karṣa, 3 mâṣas, and 4 8/9 guñjâs. 27. 87 21/31 . 28. 2 droṇas,
   1 âḍhaka, and 2 177/256 prasthas. 29. 3 158/159 rûpas. 30. 8 months and 26 2/3 days.
8. 33600 years. 32. 9 34/49 days. 33. 19 4/11 days. 34. 26 2/5 necklaces.
9. 250 suvarṇas. 36. 244 suvarṇas, 5 mâṣas, and 4 7/11 guñjâs.
10. 450 blankets. 38. 122 suvarṇas, 8 mâṣas, and 4 24/49 guñjâs.
11. Interest = 36. 40. 20 135/136 . 41. 2362 1/2 . 42. 1 111/832 . 43. 38 1/4 paṇas ;
    or 2 purâṇas, 6 paṇas, and 1 kâkiṇî. 44. 60 . 45. 33 3/4 . 46. 49 7/8 .
12. 3 droṇas, 0 âḍhaka, 3 prasthas, and 1 5/7 kuḍavas. 48. 2 palas of long
    pepper. 49. 25 wood-apples. 50. 64. 51. 200. 52. Capital = 60 ;
    Interest = 36. 53. Capital = 33 1/3 ; Interest = 3. 54. Capital = 500 ;
    Interest = 300 ; share of surety = 60 ; share of calculator = 30 ; and share
    of scribe = 15. 55-56. The debtor is relieved of his debt in 2 months
    and 21 1371/1789 days. In this time the rich man gets 109 1371/1789 rûpas in all, the
    profit being 9 1371/1789 rûpas. 57-58. Principal = 1000 ; time = 8 months
    and 3 days ; and rate per cent. per month = 4. 59. Principal = 100 ;
    time = 8 months and 17 days ; and rate per cent. per month = 4 1/2 .
    60(i). 20 months. 60(ii). 7 months, 4 days, 17 ghaṭikâs, and 8 4/7 caṣakas.
13. 11 5/31 varṇas. 62. 9 15/55 varṇas. 63. 13 11/17 varṇas. 64. 16 mâṣas.
14. 11 3/4 varṇas. 66. 5 mâṣas.
    67-68. varṇa gold of varṇa 16 gold of varṇa 10
    16 2 mâṣas 0 mâṣas
    15 3/4 23/12 ,, 1/12 ,,
    15 1/2 22/12 ,, 2/12 ,,
    15 1/4 21/12 ,, 3/12 ,,
    15 20/12 ,, 4/12 ,,
    Indological Truths