Multiple choice

The compound interest on a certain sum for 2 years is Rs. 410 and simple interest is Rs. 400. The rate of interest per annum is - किसी धनराशि पर 2 वर्ष का चक्रवृद्धि ब्याज 410 रू. और साधारण ब्याज 400 रू. है, तो प्रति वर्ष ब्याज की दर है-

  1. 10%

  2. 8%

  3. 5%

  4. 4%

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For 2 years, the difference between CI and SI is P(r/100)² = 410-400=10. From SI: 2Pr/100=400, so Pr/100=200. Therefore (r/100)×200=10, giving r/100=1/20, hence r=5%. The 5% rate satisfies both conditions.