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What is the difference (in ₹, to the nearest rupee) between the simple interest and compound interest on ₹24,500 in two years at the rate of 8% per annum? The compound interest is compounded annually.

  1. A
    157
  2. B
    175
  3. C
    257
  4. D
    225

Solution & Step-by-step Explanation

The difference between compound interest (CI) and simple interest (SI) for a period of 2 years is given by the formula:
Difference=P(
100
R

)
2

Where:

P=₹24,500 (Principal)

R=8% (Rate of interest per annum)

Substitute the values into the formula:

Difference=24500×(
100
8

)
2

Difference=24500×
10000
64


Difference=
100
245×64

=
100
15680

=156.8≈157
To the nearest rupee, the difference is ₹157.

Practice this question

Try it yourself before checking the explanation above.

What is the difference (in ₹, to the nearest rupee) between the simple interest and compound interest on ₹24,500 in two years at the rate of 8% per annum? The compound interest is compounded annually.
A
157
B
175
C
257
D
225

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