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P and Q invested in a business in the ratio 5: 13. Q withdrew his capital after 6 months. If they shared their profit in the ratio 25 : 26, for how lon
Question

P and Q invested in a business in the ratio 5: 13. Q withdrew his capital after 6 months. If they shared their profit in the ratio 25 : 26, for how long was P's amount used?

A.

18 months

B.

12 months

C.

8 months

D.

15 months

Correct option is D


Given:
Profit ratio of P and Q = 25:26
Ratio of invested money of P and Q = 5:13
Formula Used:
Profit = Time × Investment
Solution:
Let P invested his money be x months, then
According to the question
5 x×: 13 × 6 = 25:26
5x/78 = 25/26
x = 25/26×78/5
⇒ x = 15
Therefore, P invested his money 15 months.

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