Page:Indian mathematics, Kaye (1915).djvu/69

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INDIAN MATHEMATICS.
53

harnessed to the yoke. They have to do a journey of 70 yojanas. How many times are they unyoked and how many times yoked in four?

Answer—Every 10 yojanas, and each horse travels 40 yojanas. M. VI, 158.

10. If a female slave sixteen years of age brings thirty- two, what will one twenty cost?

Answer. L. 76.

11. Three hundred gold coins form the price of 9 damsels of 10 years. What is the price of 36 damsels of 16 years?

Answer—750. M. V, 40.

12. The price of a hundred bricks, of which the length, thickness and breadth respectively are 16, 8 and 10, is settled at six dīnāras, we have received 100,000 of other bricks a quarter less in every dimension. Say, what we ought to pay?

Answer. C. 285.

13. Two elephants, which are ten in length, nine in breadth, thirty-six in girth and seven in height, consume one droņa of grain. How much will be the rations of ten other elephants which are a quarter more in height and other dimensions?

Answer—12 droņas, 3 prasthas, kudavas. C. 285.

(64 kudavas=16 prasthas=1 droņa).

14. One bestows alms on holy men in the third part of a day, another gives the same in half a day and a third distributes three in five days. In what time, keeping to these rates, will they have given a hundred?

Answer. C. 282.


L=the Līlāvatī, V=Vīja Gaņita, both by Bhāskara, M=Mahāvīra, S=Srīdhara, C=Chaturveda.