Multiple choice

The simple interest of 2 year on a certain principal is Rs. 600 and difference of C.I. and S.I. for two year is Rs. 15 on same principal and same rate of interest. Find the principal. किसी धनराशि का 2 वर्षों का साधारण ब्याज 600 रू. है तथा उसी धनराशि पर उसी ब्याज की दर से चक्रवृद्धि ब्याज और साधारण ब्याज का अन्तर 15 रू. है तो धनराशि ज्ञात कीजिए।

  1. Rs. 8000

  2. Rs. 3000

  3. Rs. 6000

  4. Rs. 12000

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C Correct answer
Explanation

SI for 2 years is Rs. 600, so annual interest = Rs. 300. The difference CI-SI for 2 years = P*r²/10000 = 15. Substituting r = 300*100/P gives P = 6000. This uses the standard formula for the difference between compound and simple interest over 2 years.