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Find the difference between the compound interest and the simple interest on ₹ 32,000 at 10% p.a. for 4 years.
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- ₹ 2051.20
- ₹ 2052.50
- ₹ 2025.20
- ₹ 2501.20
Correct Option: A
Given Here , Principal = ₹ 32,000 , C.I. - S.I. = ? , Time = 4 years , Rate = 10%
S.I. = | |
100 |
S.I. = | = ₹ 12800 | |
100 |
C.I. = P | ![]() | ![]() | 1 + | ![]() | 4 | − 1 | ![]() | |
100 |
C.I. = 32000 | ![]() | ![]() | 1 + | ![]() | 4 | − 1 | ![]() | |
100 |
C.I. = 32000 [(1.1)4 – 1]
C.I. = 32000 (1.4641 – 1)
C.I. = 32000 × 0.4641= 14851.2
∴ Required difference = C.I. - S.I.
Required difference = 14851.2 – 12800 = ₹ 2051.2