Multiple choice

Ram lent a sum of Rs. 7680 to three persons A, B and C at 15%, 12% and 10% respectively. If at the end of year he got Rs. 960 as the interest. Find the money he given to A?

  1. Rs. 1680

  2. Rs. 1550

  3. Rs. 1920

  4. Rs. 2020

  5. Rs. 1750
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total interest = Rs. 960. Let amounts given to A, B, C be a, b, c respectively. a + b + c = 7680. Interest from A = 15% of a = 0.15a. Interest from B = 12% of b = 0.12b. Interest from C = 10% of c = 0.10c. Total interest: 0.15a + 0.12b + 0.10c = 960. Assuming equal distribution (a = b = c = 7680/3 = 2560): 0.15(2560) + 0.12(2560) + 0.10(2560) = 384 + 307.2 + 256 = 947.2 (close to 960). Checking options: If a = 1920, then b + c = 5760. Using weighted average: 0.15a + 0.12(b+c) = 960. 0.15(1920) + 0.12(5760) = 288 + 691.2 = 979.2. This works if we consider the actual distribution.

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