पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२५०

52 GANITOSA RASANGRANA 16 (in order in the respective sets); the numerators (of these sets of fractions are of the same value as the firrt number (in these sets of denominators), and every one of these (above-mentioned denominators in cach set) is multiplied by the next one, (the last denominator, however, remaining in each case unchanged for want of a further multiplying denominator) What is the sum of (each of) these (finally resulting sets of fractions ? 61 and 62 (There are 4 sets of fractious), the denominators whereof begin with 1, 2, 3 and 4 (respectively) and rise succes- sively in value by 1 until 20, 42, 25 and 36 become the last (denominators in the several sets) in order; the numerators of these (sets of fractions) are of the same valne as the first number (in these sets of denominators. And every one of these (denominators in each set is multiplied in order by the next one, (the last denominator, however, remaining unchanged in each case). What is the sum on adding these (finally resulting sets of fractions)? Jina-festival sandal- and of a golden 63 A man purchased on account of a wood, camphor, agaru and saffron for 1, 1, coin. What is the remainder (left thereof) ? 64. A worthy sravaka gave me two golden coins and told me that I should bring, for the purpose of worshipping in the temple of Jina, blossomed white lotuses, thick curds, ghee, milk and sandal-wood for tt, t and 7 of a golden coin, (respectively, out of the given amount). Now tell me, O arithmetician, what remains after subtracting the (various) parts (so spent). 65 and 66. (There are two sets of fractions) the denominators whereof begin with 8 and 5 (respectively) and rise in both cases successively in value by 1, until 30 becomes (in both cases) the last (denominator). The numerators of these (sets of fractions) are of the same value as the first term in cach (of these sets of denomina- tors). And every one of the denominators (in each set) is multi- plied by the next one, the last (denominator) being (in each case) multiplied by 4. After subtracting from 1, (each of) these two (sums obtained by the addition of the sets of fractions finally resulting as above), tell me, O friend, who have gone over to the other shore of the ocean of simple fractions, what it is that remains.