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.
- A157
- B175
- C257
- D225
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.
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.