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Q.

The ratio of investment by A to that by B in a business is 14: 15 and the ratio of their respective profits at the end of a year is 2 : 5. lfAinvested the money for 3 months, then for how much time (in months) B invested his money'?

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a

7

b

6

c

5

d

9

answer is A.

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Detailed Solution

We know that profit= Investment x time so according to the question

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Now, $\frac{14 \times 3}{15 \times x} = \frac{2}{5}$

$∴ x = \frac{105}{13} = 7$ month

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The ratio of investment by A to that by B in a business is 14: 15 and the ratio of their respective profits at the end of a year is 2 : 5. lfAinvested the money for 3 months, then for how much time (in months) B invested his money'?