Multiple choice

If the differences between the compound interest, compounded every six months and the simple interest on a certain sum of money at the rate of 12% per annum for one year is Rs. 432, the sum is- एक निश्चित धनाशि पर एक वर्ष के लिए 12% वार्षिक ब्याज की दर चक्रवृद्धि ब्याज जोकि छमाही देय है और साधारण ब्याज में अन्तर 432 रू. है। धनराशि है-

  1. Rs. 100000

  2. Rs. 900000

  3. Rs. 150000

  4. Rs. 120000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For semi-annual compounding at 12% p.a., rate per 6 months = 6%, and amount = P(1 + 0.06)² = P(1.1236). CI = P(0.1236). SI for 1 year at 12% = P(0.12). Difference = P(0.1236 - 0.12) = P(0.0036) = 432. So P = 432/0.0036 = 120000.

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