# पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/२८७

एतत् पृष्ठम् परिष्कृतम् अस्ति
91
CHAPTER V--RULE-OF-THREE

smaller number (of different quantities, after these are also similarly thrown together and multiplied); but in the matter of the buying and selling of living animals (the transposition is to take place) only (in relation to the numbers representing) them.

Examples in illustration thereof.

33. At the rate of 2, 3 and 4 per cent. (per month), 50, 60 and 70 Purāṇas (respectively) put to interest by a person desiring profit. How much interest does he obtain in ten months ?

34. The interest on ${\displaystyle 80{\tfrac {1}{4}}}$ gold coins for ${\displaystyle {\tfrac {1}{3}}}$ of a month is ${\displaystyle 1{\tfrac {1}{2}}}$. How much (will it be) on ${\displaystyle 90{\tfrac {3}{4}}}$ gold coins for ${\displaystyle 5{\tfrac {3}{4}}}$ months ?

35. He who obtains 20 gems in return for 100 gold piccas of 16 varṇas—what (will he obtain) in return for 288 gold pieces of 10 varṇas ?

36. A man, by carrying 9 mānīs of wheat over 3 yōjanas,obtained 60 paṇas. How much (would he obtain) by carrying one kumbha along with one vāha (thereof) over 10 yōjanas ?

Examples on barter

87. A man obtains 3 karṣas of musk for 10 gold coins and 2 karṣas of camphor for 8 gold coins. How many (karṣas of camphor does he obtain) in return for 800 karṣas of musk ?

88. In return for 8 (māṣas in weight of silver), a man obtains 60 jack fruits; and in return for 10 māṣas (in weight of silver he obtains) 80 pomegranates. How many pomegranates (does he obtain) in return for 900 jack fruits ?

Examples of(problems bearing on) the buying and selling
of animals

39. Ṭwenty horses, (each) of 16 years (of age), are worth 100,000 gold coins. O leading arithmetician, say how much 70 horses, (each) of 10 years (of age), will be (worth) at this (rate).

40. Three hundred gold coins form the price of 9 damsels, (each) of 10 years (of age). What is the price of 36 damsels, (each) of 16 years (of ago) ?