Multiple choice

The compound interest at 25% compounded half yearly for 18 months is Rs. 4014.5. Find principal. 25% अर्द्धवार्षिक चक्रवृद्धि ब्याज की दर से 18 महीने का चक्रवृद्धि ब्याज 4014.5 रूपये है। मूलधन ज्ञात कीजिये।

  1. 9472

  2. 10732

  3. 6400

  4. 10240

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A Correct answer
Explanation

For half-yearly compounding, rate per half-year = 25/2 = 12.5% and time = 18 months = 3 half-years. Using CI formula: A = P(1 + 0.125)³. CI = A - P = P[(1.125)³ - 1] = P[1.4238 - 1] = 4014.5. Solving gives P = 4014.5/0.4238 ≈ 9472.