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The amount on a sum of ₹4,200 at 20% per annum compound interest, compounded annually, in 2 years will be:
Question

The amount on a sum of ₹4,200 at 20% per annum compound interest, compounded annually, in 2 years will be:

A.

₹5,348

B.

₹6,048

C.

₹6,219

D.

₹6,497

Correct option is B

Given:
Principal sum = ₹4,200
Rate of interest = 20% per annum
Time period = 2 years
Formula Used:
Amount = Principal × (1+Rate100)Time (1 + \frac{Rate}{100})^{Time}​​
Solution:
Substitute the given values into the compound interest formula:
Amount = 4200 × (1+20100)2(1 + \frac{20}{100})^2​​

= 4200 × (1+15)2 (1 + \frac{1}{5})^2​​

= 4200 ×(65)2 (\frac{6}{5})^2​​

= 4200 × 3625 \frac{36}{25}​​

= 168 × 36

= 6048
Final Answer
So the correct answer is (b)

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