Multiple choice

The difference between compound interest for 3 years and simple interest for one year at the rate of 3% on a certain sum of money is Rs. 3136.35/- then find the sum ? किसी निश्चित धन पर 3% दर से 3 वर्षों के चक्रवृद्धि ब्याज और एक वर्ष के साधारण ब्याज का अन्तर रू. 3136.35/- है, तो मूलधन ज्ञात कीजिए।

  1. Rs. 50000

  2. Rs. 45000

  3. Rs. 48000

  4. Rs. 30000
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A Correct answer
Explanation

For 3 years CI and 1 year SI at 3%, the difference arises from compound effect. CI for 3 years at 3%: P × 1.03³ - P. SI for 1 year at 3%: P × 0.03. Difference = P(1.03³ - 1 - 0.03) = P(1.092727 - 1.03) = P × 0.062727. Given difference = Rs. 3136.35, so P = 3136.35/0.062727 ≈ Rs. 50,000.

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