Multiple choice

If the difference between the simple interest and the compound interest earned on a certain amount @ 12% at the end of 3 years is Rs. 336.96, then what is the amount? यदि 3 वर्ष के अंत में एक निश्चित राशि पर 12% की दर से अर्जित साधारण ब्याज और चक्रवृद्धि ब्याज के बीच का अंतर रु. 336.96, तो राशि क्या है?

  1. Rs. 8550

  2. Rs. 8000

  3. Rs. 7500

  4. Rs. 8750

  5. Rs. 7700
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The difference between compound interest and simple interest for 3 years at rate r is P[(1 + r/100)³ - 1 - 3r/100]. For P = 7500, r = 12%, CI - SI = 7500[(1.12)³ - 1 - 0.36] = 7500[1.404928 - 1.36] = 7500 × 0.044928 = 336.96, which matches the given difference.

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