Multiple choice

The compound interest earned after three years and that earned after two years on a certain sum of money, differ by Rs 5880. What is the principal sum of money if the rate of interest is 16.67% p.a? तीन साल बाद अर्जित चक्रवृद्धि ब्याज और एक निश्चित राशि पर दो साल बाद अर्जित ब्याज के बीच अंतर 5880 रुपये है। यदि ब्याज की दर 16.67% प्रति वर्ष है तो मूल राशि क्या है?

  1. Rs. 27432 रु. 27432

  2. Rs. 25920 रु. 25920

  3. Rs. 26780 रु. 26780

  4. Rs. 29870 रु. 29870

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Rate 16.67% = 1/6. Let principal be P. CI for 2 years = P * (1 + 1/6)^2 - P = P * (49/36 - 1) = 13P/36. CI for 3 years = P * (1 + 1/6)^3 - P = P * (343/216 - 1) = 127P/216. Difference = 127P/216 - 13P/36 = 127P/216 - 78P/216 = 49P/216 = 5880. P = 5880 * 216/49 = 120 * 216 = 25920. Option B is correct.

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