Multiple choice

The difference between simple and compound interest on a sum of money at 4% per annum for 2 years is Rs. 8. The sum is. एक धनराशि का 4% प्रति वर्ष की दर से 2 वर्ष के लिए साधारण ब्याज और चक्रवृद्धि ब्याज का अन्तर 8 रू. है तो धनराशि है-

  1. ₹ 4000

  2. ₹ 5000

  3. ₹ 4500

  4. ₹ 3600
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For 2 years at 4%: Simple Interest = P × 0.04 × 2 = 0.08P. Compound Interest = P(1.04)² - P = P(1.0816 - 1) = 0.0816P. The difference CI - SI = 0.0816P - 0.08P = 0.0016P. Given this difference is Rs. 8, we have 0.0016P = 8, so P = 8/0.0016 = Rs. 5000.

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