Multiple choice

If the compound interest on certain sum of money in second year is Rs. 26.25, then find the compound interest after two years, when rate is given as 5% per annum ? यदि किसी निश्चित राशि का दूसरे वर्ष के लिए चक्रवृद्धि ब्याज 26.25 रू. हो तो दो वर्षं पश्चात् चक्रवृद्धि ब्याज ज्ञात कीजिए, जब ब्याज की दर 5% वार्षिक हो।

  1. Rs. 51.25

  2. Rs. 50.25

  3. Rs. 52.5

  4. Rs. 53.25

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A Correct answer
Explanation

Let the principal be P. CI for 2nd year = P × (1.05^2 - 1.05) = P × 0.0525 = 26.25. So P = 26.25 ÷ 0.0525 = 500. Total CI after 2 years = P × (1.05^2 - 1) = 500 × 0.1025 = Rs. 51.25. The compound interest for two years is Rs. 51.25.