Multiple choice

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 33708, and Rs 35730.48 respectively, what is the rate of interest? यदि दूसरे और तीसरे वर्ष के अंत में एक निश्चित मूलधन पर चक्रवृद्धि ब्याज पर प्राप्त राशि क्रमशः 33708 रुपये और 35730.48 रुपये है, तो ब्याज की दर क्या है?

  1. 6%

  2. 18%

  3. 12%

  4. 10%

  5. 5%
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A Correct answer
Explanation

Let amount after 2 years = A₂ = Rs. 33708 and after 3 years = A₃ = Rs. 35730.48. The interest earned in the 3rd year = 35730.48 - 33708 = Rs. 2022.48. Rate r = (2022.48 / 33708) × 100 = 6%. This is verified by checking 33708 × 1.06 = 35730.48.

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