The compound interest on a certain sum of money for 2 years at 5% per annum is ₹ 410. The simple interest on the same sum at the same rate and for the same time is

Using the relation between simple interest and compound interest for two years, the difference is P * (R/100)^2. Here, the difference between compound interest and simple interest is calculated using the compound interest formula A = P(1 + R/100)^n, where 410 = P(1.05)^2 - P, simplifying to 410 = P(1.1025 - 1) so P = 4000. The simple interest is then (4000 * 5 * 2) / 100, which equals 400. The simple interest on the same sum is 400.

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