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A invested Rs 76000 in a business After few months B joined him with Rs 57000. At the end of the year the total profit was divided between them in the ratio of 2 :1. After how many months did B join?

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4 months

8 months

9 months

None of these

answer is B.

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Detailed Solution

Given that A invested Rs.76000 and B invested Rs.57000. At the end of the year the total profit was divided between them in the ratio of 2 :1.
Let A invested (P) = Rs.76000 for T= 12 months and B invested p =Rs.57000 for t= x months.
Then,

\frac{P \times T}{p \times t} = \frac{2}{1}

\Rightarrow \frac{7600 \times 12}{5700 \times x} = \frac{2}{1}

\Rightarrow x = \frac{76 \times 12}{57 \times 2}

\Rightarrow x = 8

Hence B invested for 8 months.
Therefore, the correct option is 2.

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