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A began a business with Rs. 85000, he was joined afterwards by B with Rs. 42500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?

a) 4 months
b) 5 months
c) 6 months
d) 8 months

Answer: d
Explanation:
$$\eqalign{ & {\text{Suppose B joined for }}x{\text{ months}} \cr & \frac{{85000 \times 12}}{{42500 \times x}} = \frac{3}{1} \cr & x = \frac{{85000 \times 12}}{{42500 \times 3}} \cr & x = 8 \cr} $$

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