Question
Rs. 5,100 is invested in three parts all at simple
interest of 8% p.a. These three parts are invested randomly for 1 year, 2 years and 5 years such that the interest received from the given three parts after desired period of investment is same. Find the difference between the smallest and the largest part of the investment.Solution
Let the amount invested in three parts be Rs. ‘p’, Rs. ‘q’ and Rs. ‘r’ ATQ; (p × 0.08 × 1) = (q × 0.08 × 2) = (r × 0.08 × 5) Or,
p = 2q = 5r Let p = 2q = 5r = ‘10t’ So,
p = 10t
q = 5t
r = 2t So,
p + q + r = 5100 Or,
10t + 5t + 2t = 5100 Or,
17t = 5100 Or,
t = 300 So, required difference = 10t − 2t = 8t = 8 × 300 = Rs. 2,400
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