A invested some money in a business and B joined him after some time and after 1 year the ratio of their profits is 2:1, if B would have joined A 2 months before, the ratio of their profits would have been 2:3. After how many months did B join A?

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Solution

The correct option is A
11

Let the investment of A be `x'

Let the investment of B be `y'

Let the time of investment of B be `a'

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

$\frac{x \times 12}{y \times a}$ = $\frac{2}{1}$

$\frac{x \times 12}{y \times (a + 2)}$ = $\frac{2}{3}$

a = 1

So B will join after 11 months.

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