Question : Find the difference between the Compound Interest and Simple Interest on Rs. 32,000 at 10% p.a. for 4 years.
Option 1: Rs. 2,051.20
Option 2: Rs. 2,052.50
Option 3: Rs. 2,025.20
Option 4: Rs. 2,501.20
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Correct Answer: Rs. 2,051.20
Solution :
Sum, P = Rs. 32,000
Rate, R = 10%
Term, $n$ = 4 years
When compounded annually, Compound Interest after n years = $P[(1+\frac{R}{100})^{n}–1]$
Compound Interest after 4 years = $32000[(1+\frac{10}{100})^{4}–1]$
= Rs.14,851.20
Simple Interest after n years = $\frac{PnR}{100}$
Simple Interest after 4 years = $\frac{32000×4×10}{100}$
= Rs. 12,800
Difference between SI and CI = 14851.2 – 12800 = Rs. 2,051.20
Hence, the correct answer is Rs. 2,051.20.
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