Multiple choice

The simple interest on a certain sum of money for 4 years at 12 percent per annum exceeds the compound interest on the same sum for 3 years at 10 percent per annum by Rs.1192. Find the sum. किसी निश्चित धनराशि पर 12 प्रतिशत वार्षिक ब्याज की दर से 4 वर्षों में साधारण ब्याज उसी धनराशि पर 3 वर्षों में 10% प्रतिशत वार्षिक ब्याज की दर से चक्रवृद्धि ब्याज से 1192 रु. अधिक है | धनराशि ज्ञात कीजिये |

  1. Rs.9000

  2. Rs.8500

  3. Rs.8000

  4. Rs.10000

  5. Rs.7500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let sum = P. Simple Interest for 4 years at 12% = P × 12 × 4 / 100 = 0.48P. Compound Interest for 3 years at 10% = P[(1.10)³ - 1] = P[1.331 - 1] = 0.331P. Given: 0.48P - 0.331P = 1192. So 0.149P = 1192. P = 1192 / 0.149 = 8000. The sum is Rs. 8000, which matches option C.

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