A and B plan to invest the money for one year in the ratio 3 : 4 in a business. After how many months should B join A so that both will have the same amount of profit?

6 months

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3 months

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8 months

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9 months

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Solution

The correct option is B
3 months

$\frac{I n v e s t m e n t o f A \times t i m e o f i n v e s t m e n t o f A}{I n v e s t m e n t o f B \times t i m e o f i n v e s t m e n t o f B}$ = $\frac{P r o f i t o f A}{P r o f i t o f B}$

$\frac{3 \times 12}{4 \times t i m e o f i n v e s t m e n t o f B}$ =1

Solving we get the time of investment of B as 9 months. So B joined 3 months later.

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A and B plan to invest the money for one year in the ratio 3 : 4 in a business. After how many months should B join A so that both will have the same amount of profit?

The correct option is B 3 months Investment of A ×time of investment of AInvestment of B ×time of investment of B=Profit of AProfit of B 3 ×124 ×time of investment of B =1 Solving we get the time of investment of B as 9 months. So B joined 3 months later.