A starts a business with a capital of Rs. 85000. B joins the business with Rs. 42500 after sometime. For how much period does B join if the profits at the end of the year are divided in the ratio 3:1.
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8 month
Let B joins for X months.
Then,
(Profit of A)/(Profit of B) = 3/1
(85000 * 12)/(42500 *X) = 3/1
85000 * 12 = 42500 * 3 * X
X = 8.
Thus, B Joined for 8 months.