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?
Options:
A . Rs. 5000
B . Rs. 6500
C . Rs. 8000
D . Cannot be determined
E . None of these
Answer: Option A
Let x, y and z be the amount invested in schemes A, B and C respectively. Then, (x * 10 * 1)/100 + (y * 12 * 1)/100 + (z * 15 * 1)/100 = 320010x + 12y + 15z = 320000Now, z = 240% of y = 12/5 yAnd, z = 150% of x = 3/2 xx = 2/3 z = ( 2/3 * 12/5) y = 8/5 y16y + 12y + 36y = 320000y = 5000Sum invested in scheme B = Rs. 5000.
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