A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

4 months
5 months
6 months
8 months

Correct Answer: 8 months

Explanation:

Suppose B joined for x months. Then,

Then,	❨	85000 x 12	=	3	❩
		42500 x x		1

⟹ x =	❨	85000 x 12	❩	= 8.
		42500 x 3

So, B joined for 8 months.

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