Multiple choice

The simple Interest on a certain sum for 8 months at 3% per annum is 1530 Rs. less than C.I. on the sum for 18 months at 2% perannum, compounded annualy. Find the sum. / किसी निश्चित राशि पर 3 प्रतिशत प्रतिवर्ष पर 8 माह का साधारण ब्याज उसी राशि पर 2 प्रतिशत प्रतिवर्ष चक्रवृद्धि ब्याज की दर पर 18 माह के ब्याज से 1530 रूपये कम है मूलधन ज्ञात कीजिए।

  1. 15000

  2. 150000

  3. 1800

  4. 180000

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B Correct answer
Explanation

SI = P×3/100×8/12 = 0.02P. CI = P(1+2/100)^1.5 - P ≈ 0.0303P. Difference ≈ 0.0103P = 1530. So P ≈ 153000/1.03 ≈ 148544. Closest option is 150000. The calculation is complex; 150000 is the best match among given choices.