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What is the difference between the compound interest (in Rs) compounded yearly and compounded half yearly for 18 months at
20% per annum on a sum of Rs12,000?
121
132
145
165
Let's calculate the difference in compound interest when compounded yearly and half-yearly:
- Compounded Yearly:
- Principal = Rs 12,000
- Rate = 20%
- Time = 1.5 years (18 months)
- CI = P(1 + r)^t = 12,000(1 + 0.20)^1.5 = Rs 13,866
- Compounded Half-Yearly:
- Rate per half-year = 10% (half of 20%)
- Number of periods = 3 (each half-year)
- CI = P(1 + r/n)^(nt) = 12,000(1 + 0.10)^3 = Rs 13,998
- Difference: Rs 13,998 - Rs 13,866 = Rs 132
- Correct Option: Option: 2 - 132
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