Page:Indian mathematics, Kaye (1915).djvu/70

 15. Say, mathematician, what are the apportioned shares of three traders whose original capitals were respectively 51, 68 and 85, which have been raised by commerce conducted by them in joint stock to the aggregate amount of 300? Answer—75, 100, 125. 16. One purchases seven for two and sells six for three. Eighteen is the profit. What is the capital? Answer—$\scriptstyle{18\div(\frac{3/6}{2/7}-1)=24}$. 17. If a pala of best camphor may be had for two nishkas, and a pala of sandal wood for the eighth part of a dramma and half a pala of aloe wood also for the eighth of a dramma, good merchant, give me the value of one nishka in the proportions of 1, 16 and 8; for I wish to prepare a perfume? Answer—Prices—Drammas $$\scriptstyle{14\frac{2}{9},~\frac{8}{9},~\frac{8}{9}+\frac{4}{9},~\frac{64}{9},~\frac{32}{9}}$$ (16 drammas=1 nishka). 18. If three and a half mānas of rice may be had for one dramma and eight of beans for the same price, take these thirteen kākinīs, merchant, and give me quickly two parts of rice and one of beans: for we must make a hasty meal and depart, since my companion will proceed onwards? Answer—$$\scriptstyle{\frac{7}{12}}$$ and $$\scriptstyle{\frac{7}{24}}$$. (64 kākinīs=1 dramma). 19. If the interest on 200 for a month be 6 drammas, in what time will the same sum lent be tripled? Answer—$$\scriptstyle{66\frac{2}{3}}$$ months. 20. If the principal sum with interest at the rate of five on the hundred by the month amount in a year to one thousand, tell the principal and interest respectively? Answer—625, 375. L=the Līlāvatī, V=Vīja Gaņita, both by Bhāskara, M=Mahāvīra, S=SrīdharaŚrīdhara [sic], C=Chaturveda.