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A sum of ₹14000 is lent at compound interest (interest is compounded annually) for 3 years. If the rate of interest is 10%, then what will be the compound interest?

A₹3,780

B₹4,645

C₹5,285

D₹4,300

Answer:

A. ₹3,780

Read Explanation:

Solution:

Given:

Principal amount, P = 14000

Number of years, N = 3

Rate of interest, R = 10%

Formula used:

Total amount, A=P×(1+(R100))NA = P\times{(1 + (\frac{R}{100}))}^N

C.I = Total amount – Principal amount

Calculation:

Total amount, A=14000×(1+(10100))3A = 14000\times{(1 + (\frac{10}{100}))^3}

⇒ A = 18634

∴ C.I = 18634 – 14000 = 4634


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