Multiple choice

If Rs.x was invested at 12% per annum simple interest and a sum of money Rs.y is invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is Rs.480. If the ratio between x and y is 5 : 6, the later sum of money is

  1. Rs.500

  2. Rs.550

  3. Rs.600

  4. Rs.750
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Simple interest = Principal × Rate × Time. For Rs.x at 12% for 4 years: SI₁ = x × 0.12 × 4 = 0.48x. For Rs.y at 10% for 4 years: SI₂ = y × 0.10 × 4 = 0.40y. Total interest: 0.48x + 0.40y = 480. Given x:y = 5:6, let x = 5k, y = 6k. Then 0.48(5k) + 0.40(6k) = 480, so 2.4k + 2.4k = 480, giving 4.8k = 480 and k = 100. Therefore y = 6k = Rs.600. Option C is correct.

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