Multiple choice

Simple interest on a principal of 2 years is Rs 108.80 and compound interest on same principal for same time period and rate of interest is Rs 115.60. Find rate of interest. किसी मूलधन पर 2 वर्षो का साधारण ब्याज 108.80 रुपये है तथा समान मूलधन पर समान ब्याज दर पर समान समय का चक्रवृधि ब्याज 115.60 रुपये है। प्रति वर्ष ब्याज की दर ज्ञात कीजिये।

  1. 12.5 %

  2. 8%

  3. 10 %

  4. 15%

  5. None of these इनमे से कोई नहीं
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A Correct answer
Explanation

For 2 years, CI - SI = P(R/100)². Here 115.60 - 108.80 = 6.80 = P(R²/10000). Also SI = PR(2)/100 = 108.80. Solving: PR = 5440, so 6.80 = 5440R/10000, giving R = 12.5%. The difference between CI and SI for 2 years reveals the square of the rate.

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