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?
Pick:
A) Rs.5000	B) Rs.2000	C) Rs.6000	D) Rs.3000	E) Rs.4000
Explanation :   Let x , y and x be his investments in A, B and C respectively. Then   Then, Interest on x at 10% for 1 year   + Interest on y at 12% for 1 year   + Interest on z at 15% for 1 year   = 3200   x×10×1/100+y×12×1/100+z×15×1/100=3200   ⇒10x+12y+15z=320000−−−(1)   Rs.5000mount invested in Scheme C was 240% of the amount invested in Scheme B   =&gt;z=240y/100=60y/25=12/y5−−−(2)   Rs.5000mount invested in Scheme C was 150% of the amount invested in Scheme Rs.5000   =&gt;z=150x/100=3x/2   =&gt;x=2z/3=2/3×12y/5=8y/5−−−(3)   From(1),(2) and (3),   10x + 12y + 15z = 320000   10(8y/5)+12y+15(12y/5)=320000   16y+12y+36y=320000   64y=320000   y=320000/64=10000/2= 
<gadget id="calculator">10000/2</gadget>
<output>5_000</output>
5000   i.e.,Rs.5000mount invested in Scheme B= Rs.5000   Rs.5000nswer : Option Rs.5000
<result>A</result>
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?