A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?

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Solution

The correct option is C 8
Let $A$ invest Rs $14 a$ for $10$ months and $B$ invest Rs $15 a$ for $b$ months

Then, $\frac{14 a \times 10}{15 a \times b} = \frac{7}{6}$
$b = \frac{840}{105} = 8$
Hence $B$ invested money for $8$ months

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A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?

The correct option is C 8Let A invest Rs 14a for 10 months and B invest Rs 15a for b monthsThen,14a×1015a×b=76b=840105=8Hence B invested money for 8 months

The correct option is C 8
Let $A$ invest Rs $14 a$ for $10$ months and $B$ invest Rs $15 a$ for $b$ months

Then, $\frac{14 a \times 10}{15 a \times b} = \frac{7}{6}$
$b = \frac{840}{105} = 8$
Hence $B$ invested money for $8$ months