Page:Indian mathematics, Kaye (1915).djvu/74

 pepper. By means of the purchase money of 60 paņas quickly obtain 68 palas? Answer—Ginger 20, long pepper 44, pepper 4. 36. Five doves are to be had for three drammas; seven cranes for five; nine geese for seven and three peacocks for nine. Bring a hundred of these birds for a hundred drammas for the prince's gratification? Answer—Prices 3, 40, 21, 36. Birds 5, 56, 27, 12. (This class of problem was treated fully by Abú Kāmil-el-Misri (c. 900 A.D.). See H. Suter: Das Buch der Selten-heit, etc. Bibliotheca Mathematica 11 (1910–11), pp. 100–120.

37. In a certain lake swarming with red geese the tip of a bud of a lotus was seen half a hasta above the surface of the water. Forced by the wind it gradually advanced and was submerged at a distance of two hastas. Calculate quickly, O mathematician, the depth of the water? Answer—$\scriptstyle{\frac{15}{4}}$.|undefined 38. If a bamboo measuring thirty-two hastas and standing upon level ground be broken in one place by the force of the wind and the tip of it meet the ground at sixteen hastas, say, mathematician, at how many hastas from the root it is broken? Answer—12. L=the Līlāvatī, V=Vīja Gaņita, both by Bhāskara, M=Mahāvīra, S=SrīdharaŚrīdhara [sic], C=Chaturveda.