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 312

CHAPTER VIMIXED PROBLEM.
115
The rule for arriving at the value of the prices producing equal sale-proceeds when the price of the remnant is fractional in character:
107}. When the remnant-price is fractional in character, the selling and the buying rates are to be derived as before with (the data consisting of) the (invested) capitals and the remnant-price reduced to the same denominator, which is (however) ignored (for the time being); these selling and buying rates are (then respectively) to be multiplied by (this) denominator and the square of (this) denominator (for arriving at the required selling and buying rates). The value of the equal sale-proceeds is (then obtained) by means of the rule-of-threa.
An example in illustration thereof.
1081. (In a transaction) { }, are the capital amounts (invested respectively by three persons); the remnant-price is s. By purchasing and selling at the same prices, they became possessed of cqual sale-proceeds. (What is the buying price, what the selling price, and what the equal sale-amount ?)
Again, another rule for arriving at the value of the equal saleproceeds, when the remnant-price is fractional :
1091. The continued product of the highest numerator, of tuo, and of (all) the denominators (to be found in the values of the capital amounts invested), when combined with the last) denominator belonging to the value of the remnant-price, gives rise to the selling rate. This multiplied by the remnant-price, and then diminished by one, and then multiplied (successively) by two and all the denominators, becomes the purchasing rate. Then the rule-of-three (is to be used for arriving at the common value of the sale-amounts).
An example in illustration thereof.
1103. Having invested i, j, (respectively), and having bought and sold (the same commodity), and with as the remnantprice, three merchants became possessors of equal sale-proceeds