A and B are partners in a business They invest in the ratio of 5 6 at the end of 8 months A withdraw...........

Quant (SSC) Partnership

A and B are partners in a business. They invest in the ratio of 5 : 6; at the end of 8 months A withdraws. If they receive profits in the ratio of 5 : 9, then find how long B’s investment was used.

12 months

15 months

18 months

21 months

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Explanation:

Ratio of profit = 5 : 9
Now, Share of A's investment /Share of B's investment
Profit of A /Profit of B
or, 5 x 8 / 6 x months(x) = 5/9
or, x = 5 x 8 x 9 / 5 x 6 = 12 months