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A and B entered into a partnership and invested their respective amounts in the ratio of 2: 1. C and D entered into another partnership with initial investment ratio of 2: 1. Total investment of A and B was 25% less than that of C and D. If total profit of all 4 person at the end of year is Rs.10500, then find profit of A.

1. Rs.2000
2. Rs.1500
3. Rs.3000
4. Rs.4000

Correct answer: Rs.3000

Solution

Since A:B = 2:1 and C:D = 2:1, let their investments be 2a, a and 2b, b. The total of A and B is 25% less than that of C and D, which gives a:b = 3:4, and then A’s share becomes 6 out of 21 equal parts of the total profit, so A gets Rs. 3000.

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