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Simple interest on a certain sum at the rate of 4.5% p.a. for 4 years and 6 years differs by BDT 216. The sum is-

Simple interest on a certain sum at the rate of 4.5% p.a. for 4 years and 6 years differs by BDT 216. The sum is- Correct Answer BDT 2400

Let the principal amount be P.According to the question, the simple interest for 4 years and 6 years at 4.5% per annum are:SI(4 years) = (P × 4 × 4.5) / 100 = 0.18PSI(6 years) = (P × 6 × 4.5) / 100 = 0.27PThe difference between the two interests is given as BDT 216. Therefore, we can write:SI(6 years) - SI(4 years) = 0.27P - 0.18P = 0.09P = 216Solving for P, we get:P = 216 / 0.09 = 2400Hence, the principal amount is BDT 2400.

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