पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/२४८

एतत् पृष्ठम् परिष्कृतम् अस्ति
52
GAŅITASĀRASAŃGRAHA.

16 (in order in the respective sets); the numerators (of these sets of fractions) are of the same value as the first number (in those sets of denominators), and every one of these (above-mentioned denominators in each set) is multiplied by the next one, (the last denominator, however, remaining in each case unchanged or 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 fractions), the denominators whereof begin with 1, 2, 3 and 4 (respectively) and rise successively 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 value 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)?

68. A man purchased on account of a Jinn-festival sandalwood, camphor, agaru and Saffron for and of a golden coin. What is the remainder (left thereof) ?

64. A worthy śrāvaka 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 and 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 each (of these sets of denominators). And every one of the denominators (in each set) is multiplied 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 fraction, what it is that remains.