Multiple choice

The difference between compound interest and simple interest at the same rate on Rs. 5000 for 2 years is Rs.72. The rate of interest per annum is - 5000 रू. का दो वर्षो में चक्रवृद्धि ब्याज और साधारण ब्याज एक ही ब्याज दर पर 72 रू. हो तो ब्याज की दर प्रति वर्ष है -

  1. 6%

  2. 8%

  3. 10%

  4. 12%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For 2 years, CI - SI = P(r/100)². Here: 72 = 5000 × r²/10000. Solving: r² = 72 × 2 = 144, so r = 12%. The difference between compound and simple interest for 2 years comes from the interest on interest, which grows with the square of the rate.

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