Page:Indian mathematics, Kaye (1915).djvu/71

 21. In accordance with the rate of five per cent, (per mensem) two months is the time for each instalment; and paying the instalments of 8 (on each occasion) a man became free in 60 months. What is the capital? Answer—60. 22. Five hundred drammas were a loan at a rate of interest not known. The interest of that money for four months was lent to another person at the same rate and it accumulated in ten months to 78. Tell the rate of interest on the principal? Answer—60. 23. Subtracting from a sum lent at five in the hundred the square of the interest, the remainder was lent at ten in the hundred. The time of both loans was alike and the amount of interest equal? Answer—Principal 8. 24. There is 1 part of 1 varņa, 1 part of 2 varņas, 1 part of 3 varņas, 2 parts of 4 varņas, 4 parts of 5 varņas, 7 parts of 14 varņas, and 8 parts of 15 varņas. Throwing these into the fire make them all into one and then what is the varņa of the mixed gold? Answer—$$\scriptstyle{10\frac{1}{2}}$$. [The term varņa corresponds to 'carat' or measure of 'purity of gold.' 25. Gold 1, 2, 3, 4 suvarnas, and losses 1, 2, 3, 4 māshakas. The average loss is $$\scriptstyle{\frac{1.1+2.2+3.3+4.4}{1+2+3+4}=3.}$$ L=the Līlāvatī, V=Vīja Gaņita, both by Bhāskara, M=Mahāvīra, S=SrīdharaŚrīdhara [sic], C=Chaturveda.