Multiple choice

CI on a sum for 3 years at 16.67% rate of interest is Rs. 1587.5. Find the sum. 3 वर्षों का 16.67% ब्याज दर पर चक्रवृद्धि ब्याज 1587.5 रुपये है। मूलधन ज्ञात कीजिए।

  1. 3500

  2. 2700

  3. 2550

  4. 3000

  5. None of these इनमें से कोई नहीं

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

16.67% = 1/6. Using CI formula: Amount = P(1 + 1/6)^3 = P(7/6)^3 = P(343/216). CI = P(343/216 - 216/216) = P(127/216). Given CI = 1587.5. So P(127/216) = 1587.5. P = 1587.5 × 216/127 = 2700. Check: 2700/216 = 12.5, 12.5 × 127 = 1587.5. Correct.