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Question
The ratio of investment of two partners Santa and Banta is 11 : 12 and the ratio of their profits is 2 : 3. If Santa invested the money for 8 months, then for how much time Banta his money?
Solution
Let ‘x’ be the time in months for which Banta invested his money
Santa and Banta invested their money in the ratio 11 : 12.
Santa invested his money for 8 months and the ratio of their profits is 2 : 3.
∴ 11 × 8 : 12 × x = 2 : 3
∴ `88/(12"x") = 2/3`
x = `(88 xx 3)/(2 xx 12)`
∴ x = 11
∴ Banta invested his money for 11 months.
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