Page:Indian mathematics, Kaye (1915).djvu/73

 respectively. The number of like gems belonging to another is seven, nine and six. One has ninety, the other sixty-two rupees. They are equally rich. Tell me quickly, then, intelligent friend, who art conversant with algebra, the prices, of each sort of gem? Answer—14, 1, 1, etc. [Bhāskara 'assumes' relative values.] 32. The horses belonging to these four persons respectively are five, three, six and eight; the camels belonging to them are two, seven, four and one; their mules are eight, two, one and three; and the oxen owned by them are seven, one, two and one. All are equally rich. Tell me severally, friend, the rates of the prices of horses and the rest? Answer— 85, 76, 31, 4, etc. 33. Say quickly, friend, in what portion of a day will four fountains, being let loose together fill a cistern, which, if opened one by one, would fill it in one day, half a day, the third and the sixth parts respectively? Answer—$\scriptstyle{\frac{1}{12}}$.|undefined 34. The son of Prithā, angered in combat, shot a quiver of arrows to slay Karna. With half his arrows he parried those of his antagonist; with four times the square-root of the quiverful he killed his horse; with six arrows he slew Salya; with three he demolished the umbrella, standard and bow; and with one he cut off the head of the foe. How many were the arrows which Arjuna let fly? Answer—100. 35. For 3 paņas 5 palas of ginger are obtained, for 4 paņas 11 palas of long pepper and for 8 paņas 1 pala of {rule}} L=the Līlāvatī, V=Vīja Gaņita, both by Bhāskara, M=Mahāvīra, S=SrīdharaŚrīdhara [sic], C=Chaturveda.