If the profit ratio of A to that of B is 6 : 8 after one year. After how many months did B join A in the business given that the ratio of their investment is 1 : 4.

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Solution

The correct option is B
8

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

$\frac{x \times 12}{4 x \times y} = \frac{6}{8}$

Solving we get the time of investment of B as 4 months.

So B joined 8 months later.

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If the profit ratio of A to that of B is 6 : 8 after one year. After how many months did B join A in the business given that the ratio of their investment is 1 : 4.

The correct option is B 8 Investment of A ×time of investment of AInvestment of B ×time of investment of B =Profit of AProfit of B x×124x×y=68 Solving we get the time of investment of B as 4 months. So B joined 8 months later.