Multiple choice

What is the compound interest on Rs. 10,000 for 9 months at 20% per annum? (interest being compounded quarterly) 20% वार्षिक दर से 10,000 रू. का 9 माह में चक्रवृद्धि ब्याज क्या होगा? (जब ब्याज तिमाही संयोजित है)

  1. Rs. 1576.25

  2. Rs. 1428.25

  3. Rs. 1500.75

  4. Rs. 1750.50
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A Correct answer
Explanation

Principal = Rs. 10,000, Rate = 20% p.a., Time = 9 months, Quarterly compounding (4 times per year). Rate per quarter = 20/4 = 5%, Number of quarters = 9/3 = 3. Amount = 10000(1+5/100)³ = 10000(1.05)³ = 10000×1.157625 = Rs. 11,576.25. CI = Amount - Principal = 11576.25 - 10000 = Rs. 1,576.25. This tests compound interest with non-annual compounding periods.

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