Find the rate percent if the compound interest on Rs. 15,625 for 3 years is Rs. 1,951
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Find the rate percent if the compound interest on Rs. 15,625 for 3 years is Rs. 1,951
4.5%
5%
3%
4%
Amount = 15625 + 1951 = 17576. A = P(1 + r/100)^n. 17576 = 15625(1 + r/100)^3. 17576/15625 = (1 + r/100)^3. (26/25)^3 = (1 + r/100)^3. 1 + r/100 = 1.04, so r = 4%.
Using the Compound Interest formula, the total amount is the principal plus the interest, so 15625 plus 1951 equals Rs. 17576. The formula becomes 17576 equals 15625 multiplied by (1 + r divided by 100) cubed. Dividing 17576 by 15625 gives 1.125, and taking the cube root reveals that (1 + r divided by 100) equals 1.04, meaning the rate of interest is 4 percent.