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?	Choose the correct choice from the following options.
A) 5000 B) 5007 C) 5006 D) 5026 E) 5002
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 = 3200   10x + 12y + 15z = 320000   Now, z = 240% of y = 12/5 y   And, z = 150% of x = 3/2 x   x = 2/3 z = ( 2/3 * 12/5) y = 8/5 y   16y + 12y + 36y = 320000   y = 5000   Sum invested in scheme B = Rs. 5000.   5000nswer:5000
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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?