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The compound interest on a sum of ₹ 15000 at 4% per annum for 3 years compounded annually is
Question

The compound interest on a sum of ₹ 15000 at 4% per annum for 3 years compounded annually is

A.

₹ 1872.69

B.

₹1872.96

C.

₹ 1827.96

D.

₹ 1827.69

Correct option is B

Given
Principal (P) = ₹ 15000
Rate (R) = 4% p.a.
Time (n) = 3 years

Formula Used
Amount =  P(1+R100)nP(1 + \frac{R}{100})^n

Compound Interest (CI) = Amount - Principal

Solution
Amount =  15000×(1+4100)315000 \times (1 + \frac{4}{100})^3​​
Amount =  15000×(1.04)3=15000×1.12486415000 \times (1.04)^3 = 15000 \times 1.124864​​
Amount = 16872.96
CI = 16872.96 - 15000 = 1872.96

Final Answer
So the correct answer is (b)

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