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Find the difference between the compound interest on a sum of Rs. 25,000 for 3 years at a rate of 4% per annum.

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The difference between the compound interest on a sum of Rs. 25,000 for 3 years at a rate of 4% per annum would be approximately Rs. 3,121.60.

How to calculate the compound interest

To calculate the compound interest on a sum of Rs. 25,000 for 3 years at a rate of 4% per annum, use the following formula for compound interest:


A = P(1 + r/n)^(nt)

Where:

A = Final amount (including interest)

P = Principal amount (initial sum)

r = Annual interest rate (in decimal form)

n = Number of times interest is compounded per year

t = Number of years

In this case, the principal amount (P) is Rs. 25,000, the annual interest rate (r) is 4% or 0.04, and the time period (t) is 3 years.

Let's assume the interest is compounded annually (n = 1).


A = 25000(1 + 0.04/1)^(1*3)\\A = 25000(1 + 0.04)^3\\A = 25000(1.04)^3

A = 25000(1.124864)

A ≈ 28121.60

The final amount (A) after 3 years would be approximately Rs. 28,121.60.

To find the compound interest, subtract the principal amount from the final amount:

Compound Interest = A - P

Compound Interest = 28121.60 - 25000

Compound Interest ≈ Rs. 3,121.60

Therefore, the difference between the compound interest on a sum of Rs. 25,000 for 3 years at a rate of 4% per annum would be approximately Rs. 3,121.60.

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