A invested Rs.3000 and after some time B joined him by investing Rs.4000. After one year they acquire the same profit, after how many months did B join A?

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Solution

The correct option is D
3

Let the time of investment of `x'

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

$\frac{3000 \times 12}{4000 \times x} = 1$

x = 9

So B joined after 3 months.

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A invested Rs.3000 and after some time B joined him by investing Rs.4000. After one year they acquire the same profit, after how many months did B join A?

The correct option is D 3 Let the time of investment of `x' Investment of A ×time of investment of AInvestment of B ×time of investment of B = Profit of APtofit of B 3000 ×12 4000 × x=1 x = 9 So B joined after 3 months.