On a certain sum, the difference between the compound interest, compounded annually, and the simple interest at 10% per annum for 3 years is ₹93. The sum is: |
₹3,500 ₹3,000 ₹4,000 ₹2,500 |
₹3,000 |
The formula used here is, Difference in the simple interest and compound interest on a certain sum at R% per annum in 2 years = (CI - SI) = $\frac{PR^2(300+R)}{100^3}$ ⇒ Difference in the simple interest and compound interest on a certain sum at 10% per annum in 2 years = Rs. 93 ⇒ 93 = \(\frac{ P × R²× ( 300 + R)}{100³}\) ⇒ 93 = \(\frac{ P × 10²× ( 300 + 10)}{100³}\) ⇒ \(\frac{ 93 × 100² }{ 310}\) = P ⇒ P = 9000
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