Question
The simple interest on Rs.P for 3 years at 15% per annum
is Rs.900 more than the compound interest on Rs.(P – 2400) for 2 years at R% per annum. If the simple interest on Rs.P for 5 years at 10% per annum is Rs.2000, then find the value of R.Solution
ATQ, Simple interest on Rs. P for 5 years at 10% p.a. = P * 10 * 5 / 100 = 2000 P = 4000 S.I. on Rs. 4000 for 3 years at 15% p.a. = 4000 * 15 * 3 / 100 = 1800 C.I. on Rs. (4000 - 2400) = Rs. 1600 for 2 years at R% p.a. = 1800 - 900 = 900 Now, 1600 * [(1 + R/100)^2 - 1] = 900 [(1 + R/100)^2 - 1] = 900/1600 = 0.5625 So, (1 + R/100)^2 = 1.5625 1 + R/100 = 1.25 R = 25
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