Multiple choice

Find the ratio of compound interest of certain sum for 2 year compounded half yearly to the simple interest for 3 year of same principal. If rate of interest is 20% per annum. किसी निश्चित मूलधन का 2 वर्षो का चक्रवृद्धि ब्याज जो अर्धवार्षिक संयोजित होता है तथा उसी धन पर 3 वर्षो के साधारण ब्याज का अनुपात अनुपात बताईये। यदि ब्याज दर 20% प्रति वर्ष है।

  1. 1541 : 6000

  2. 2000 : 1547

  3. 1547 : 2000

  4. 12.32 : 10

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

CI for 2 years compounded half-yearly: rate per half-year = 10%, periods = 4. Amount = P(1 + 0.1)⁴ = P × 1.4641, so CI = 0.4641P. SI for 3 years at 20%: SI = P×3×0.2 = 0.6P. Ratio CI:SI = 0.4641:0.6 = 4641:6000 = 1547:2000.