Multiple choice

Manoj borrowed a certain sum from Sanoj at a certain rate of simple interest for 2 years. He lent this sum to Rakesh at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 4800 as compound interest but paid Rs. 4000 only as simple interest. Find the rate of interest? मनोज ने सनोज से 2 साल के लिए साधारण ब्याज की एक निश्चित दर पर एक निश्चित राशि उधार ली। उसने यह राशि राकेश को समान अवधि के लिए वार्षिक चक्रवृद्धि ब्याज की समान दर पर उधार दी। दो साल के अंत में, उन्हें रु 4800 चक्रवृद्धि ब्याज के रूप में प्राप्त हुआ लेकिन उसने 4000 मात्र साधारण ब्याज के रूप में भुगतान किया ब्याज दर ज्ञात कीजिये?

  1. 40%

  2. 10%

  3. 20%

  4. 15%

  5. 25%
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A Correct answer
Explanation

Let principal = P, rate = R%. SI for 2 years = 2PR/100 = 4000, so PR = 200000. CI for 2 years = P(1 + R/100)² - P = P[(1 + R/100)² - 1] = 4800. Expanding and using PR = 200000, we find R = 40%. A is correct. Distractors B, C, D, E don't satisfy the interest difference condition.

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