Question
Ms. Riya allocated her savings into three different
funds 'X', 'Y', and 'Z' in the ratio 8:7:6. The interest rates for these funds are 'w%' annually, (w - 4) % annually, and (w + 4) % annually, respectively. Given that the total simple interest Riya earns in a year is Rs. 3,120 and the interest rate of fund 'Y' compared to 'Z' is in the ratio 3:5, calculate the total savings Ms. Riya invested.Solution
ATQ, Let the investments in funds 'X', 'Y', and 'Z' be Rs. '8a', '7a', and '6a', respectively. Given the condition for interest rates, 
Therefore, the rates of interest for 'X', 'Y', and 'Z' are 16% p.a., 12% p.a., and 20% p.a., respectively. Given total simple interest, 
Total savings by Ms. Riya = 8a + 7a + 6a = 21a = 21 Ă— 1000 = Rs.21,000
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