Question
The interest obtained by investing Rs. (3p + 100) at a
simple interest rate of 10% p.a. for 5 years is Rs. (2p + 250). Find the ratio (p - 75) : (p + 125).Solution
ATQ,
Simple interest = Principal × rate × time ÷ 100 So, 2p + 250 = (3p + 100) × 10 × 5 ÷ 100 Or, 2p + 250 = 1.5p + 50 Or, 0.5p = 200 Or, p = 400 Required ratio = (400 - 75) : (400 + 125) = 325 : 525 = 13 : 21
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