Multiple choice

Anil, Bobby, and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by Rs. 420 if the overall profit goes down from 18% to 15%. Chintu's share of profit increases by Rs. 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is

  1. 2000

  2. 2400

  3. 2200

  4. 1800
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A Correct answer
Explanation

Let total investment be T. Anil's investment is 0.7T. Profit change for Anil: 0.7T * (0.18 - 0.15) = 420, so 0.7T * 0.03 = 420, T = 420 / 0.021 = 20000. Chintu's share of profit increase: C * (0.17 - 0.15) = 80, so C * 0.02 = 80, C = 4000. Bobby's investment = Total - Anil - Chintu = 20000 - 14000 - 4000 = 2000.

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