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What is the interest payable on Rs12,000 for 3 months at the rate of 10% per annum, if interest is compounded quaterly?
Rs250
Rs200
Rs300
Rs350
- Principal (P): Rs 12,000.
- Rate of Interest (R): 10% per annum.
- Time (T): 3 months or 0.25 years.
- Compounding Frequency: Quarterly.
- Interest Formula (Compounded Quarterly): A = P (1 + (R/4)/100)^(4*T)
- A: Amount after time T.
- Calculation Steps:
- Convert annual interest rate to quarterly: R/4 = 10/4 = 2.5%.
- Calculate A = 12,000 * (1 + 0.025)^1 (since 3 months = 1 quarter).
- A = 12,000 * 1.025 = Rs 12,300.
- Interest Payable (I): A - P = Rs 12,300 - Rs 12,000 = Rs 300.
Correct Option: Option 3 - Rs 300
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