Question
A man invests a sum of (6000 + 200x) rupees at 10% p.a.
simple interest for 2 years. If he had invested the same sum at 12% p.a. simple interest for 2 years, the interest earned would have been Rs. 1,440 more. What is the simple interest he would earn after 2 years at 12% p.a.?Solution
ATQ, Let P = 6000 + 200x Interest at 10% for 2 years: SI₁ = P × 10 × 2 / 100 = 0.20P Interest at 12% for 2 years: SI₂ = P × 12 × 2 / 100 = 0.24P Difference: SI₂ − SI₁ = 0.24P − 0.20P = 0.04P Given SI₂ − SI₁ = 1,440 0.04P = 1,440 P = 1,440 / 0.04 = 1,440 × 25 = 36,000 SI₂ = 0.24 × 36,000 = 8,640
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