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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 = 4200
Rate = 20% per annum
Time = 2 years
Formula Used:
A = P(1+R100)nP(1 + \frac{R}{100})^n​​
Solution:
Substitute the values in the formula.
A = 4200×(1+20100)24200 × (1 + \frac{20}{100})^2​​

​=4200×(120100)2= 4200 × (\frac{120}{100})^2​​

​=4200×(65)2= 4200 × (\frac{6}{5})^2​​

​=4200×3625= 4200 × \frac{36}{25}​​

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

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