Multiple choice

On a principal difference of SI and CI of two year is Rs. 120 whereas difference of SI and CI of three years is Rs 368. Find the rate of interest. किसी मूलधन पर दो वर्ष का साधारण ब्याज तथा चक्रवृधि ब्याज का अन्तर 48 रुपये हैं जबकि तीन वर्ष के साधारण ब्याज तथा चक्रवृधि ब्याज का अन्तर 368 रुपये है। ब्याज दर ज्ञात कीजिये।

  1. 6.25%

  2. 7.25%

  3. 7.5%

  4. 6.67%

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

The English text states the 2-year difference is Rs. 120, but the Hindi text says it's Rs. 48. The 3-year difference is consistently Rs. 368. Using the Hindi figure (48): D2 = P(r/100)² = 48, D3 = P(r/100)²(3 + r/100) = 368. Dividing: (3 + r/100) = 368/48 = 23/3, so r/100 = 23/3 - 3 = 14/3, r = 1400/3 ≈ 46.67%. This is not in options. Using English figure (120): P(r/100)² = 120, and (3 + r/100) = 368/120 = 23/7.5, so r/100 = 23/7.5 - 3 ≈ 0.067, r ≈ 6.67%. This matches option D. The Hindi figure appears to be an error.

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