Question
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 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?
Answer: Option A
- Let x, y and z be the amounts invested in schemes A, B and C respectively. Then,
x x 10 x 1 100 + y x 12 x 1 100 + z x 15 x 1 100 = 3200 10x + 12y + 15z = 320000 (i) Now, z = 240% of y = 12 5 y (ii) And, z = 150% of x = 3 2 x
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- Let x, y and z be the amounts invested in schemes A, B and C respectively. Then,
x x 10 x 1 100 + y x 12 x 1 100 + z x 15 x 1 100 = 3200 10x + 12y + 15z = 320000 (i) Now, z = 240% of y = 12 5 y (ii) And, z = 150% of x = 3 2 x
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