Multiple choice

The difference between simple interest and compound interest on a certain sum of money for 2 years at 8 % per annum is ₹ 256. Find the sum. एक निश्चित राशि पर 2 वर्ष के लिए 8% प्रति वर्ष की दर से साधारण ब्याज और चक्रवृद्धि ब्याज का अंतर ₹ 256 है। राशि ज्ञात कीजिए।

  1. ₹ 20000

  2. ₹ 30000

  3. ₹ 35000

  4. ₹ 40000

  5. None of these इनमें से कोई नहीं
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D Correct answer
Explanation

Difference between CI and SI for 2 years = P × r²/10000. Given: 256 = P × 8²/10000 = P × 64/10000. So P = 256 × 10000/64 = 256 × 156.25 = ₹40,000. The formula for 2-year difference at rate r% is P(r/100)².

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