Multiple choice

David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the the total interest accrued in one year was Rs 3200 and the amount invested in Scheme C was 150 % of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?

  1. 5000

  2. 8000

  3. 6500

  4. cannot be determined

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let amounts in A, B, C be x, y, z respectively. Given z = 150% of x = 1.5x and z = 240% of y = 2.4y. From interest equation: 0.1x + 0.12y + 0.15z = 3200. Substituting x = 2z/3 and y = 5z/12 gives 0.1(2z/3) + 0.12(5z/12) + 0.15z = 3200. Solving yields z = 12000, so y = 5/12 × 12000 = 5000. Option A is correct.

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