A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?

A 10000 and 15000

B 15000 and 10000

C 5000 and 20000

D 20000 and 5000

Solution

Correct Answer: Option A

As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.

 

Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.

 

Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000

 

Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000

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