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according as the interest is compounded yearly or halfyearly?What is the difference between compound interest on ₹ 5,000 for 1 1 at 4% per annum 2
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- 2.04
- 3.06
- 8.30
- 4.80
Correct Option: B
Given in question , Principal = ₹ 5000 , Time = 1.5 years , Rate = 5%
When Interest is compounded yearly ,
Compound Interest = 5000 | ![]() | 1 + | ![]() | 1.5 | − 5000 | |
100 |
Compound Interest = 5000 | ![]() | ![]() | 1.5 | − 5000 | |
25 |
Compound Interest = 5302.9805 – 5000 = ₹ 302.9805
Again , when compounded half yearly ,
C.I. = 5000 | ![]() | 1 + | ![]() | 3 | − 5000 | |
100 |
C.I. = 5306.04 – 5000 = ₹ 306.04
∴ Required difference = ₹ (306.04 – 302.9805) = ₹ 3.059 = ₹ 3.06