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The compound interest on ₹30,000 in 2 years at 7% rate of interest per annum compounded annually is:
Question

The compound interest on ₹30,000 in 2 years at 7% rate of interest per annum compounded annually is:

A.

₹2,347

B.

₹3,347

C.

₹4,347

D.

₹3,777

Correct option is C

Given:

Principal (P) = ₹30,000

Rate of Interest (R) = 7% per annum

Time (T) = 2 years

Formula Used:

Amount (A) = P(1+R100)T\left(1+\frac{R}{100}\right)^ T​​

Compound Interest (CI) = A-P

Solution:

Calculate the amount (A):

A = 30000(1+7100)2\left(1+\frac7{100}\right)^2​​

A = 30000(1.07)2

A = 30000 × 1.1449 = ₹34347 

Now, 

CI = A - P = 34347-30000

= ₹4347

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