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Please answer my questionGud Evening mates....Question:) ₹3150 is invested for 2 years at 4% compound interest. Calculate the Compound Interest.★Hey guys please answer this Mathematics question above mentioned. ■ Spammer keep away from here.●Correct one = Brainliest and thanked ● Spam answers = Reported ! ◆Answer it and score easy some points.. |
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Answer» Question :-) Similar compound interest earned in 2 years is RS. 3150 and in 3 years is rs. 5070 on a CERTAIN SUM. What is the rate of compound interest per annum? ANSWER :-) Let the Principle = P and interest rate = r. So, we have, P( 1 + r)^3 - P = 5070 ……… (1) and P( 1 + r)^2 - P = 3150 …….(2) Dividing equation (1) by (2), [P( 1 + r)^3 - P] / [P( 1 + r)^2 - P] = 5070 / 3150 Or, [P(1 + 3R^2 + 3r + r^3 - 1) / [P(1 + 2r + r^2 - 1) = 5070/3150 Or, P * r * ( r^2 + 3r + 3) / P * r * ( r + 2) = 5070/3150 Or, (r^2 + 3r + 3) / (r + 2) = 5070/3150 = 507/315 Or, 315r^2 +945r + 945 = 507r + 1014 Or, 315r^2 + 438r - 69 = 0 Or, r = 0.1429, - 1.53 Since, interest rate can not be negative, so, the interest rate = 14.29% Ans |
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