Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 300

CHAPTER VIMIXED PROBLEMS.
103
interest) is divided by the difference between those periods, what happens to be the quotient is the required capital in relation to (all) those (given mixed sums).
Examples in illustration thereof.
48. The mixed sums are 50, 58 and 66, and the months (during which interest has accrued respectively) are 5, 7 and 9. Find out what the interest is (in each case).
49 and 50. O arithmetician, a certain man paid out to 4 persons 30, 31, 33 and 35, (these) heing the mixed sums (of the same capital and the interest due thereon) at the end of 3, 4, 5 and 6 months (respectively). Tell me quickly, what may be the capital here?
The rule for separating the capital, which is of the same value in all cases, and the time (during which interest has accrued), from their mixed sum:
51. Wise men say that that is the (required) capital, which is obtained as the quotient of the difference between (any two of) the (given) mixed sums as multiplied by each other's interest, when this difference is divided by the difference between the two chosen) amounts of interest.
Examples in illustration thereof.
52. The given) mixed sums of the capital and the periods of interest are 21, 23 and 25; here, (in this problem,) the amounts of interest are 6, 10 and 14. What may be the capital of equal valne here?
53. The (given) mixed sums are 35, 37 and 39; and the amounts of interest are 20, 28 and 36. (What is the common capital ?)
51. Symbolically, "?
miem,
" -- c, where my, my, etc., are the various misras or mixed sums.