Multiple choice

Find the ratio of compound interest and simple interest on a certain sum at 4% per annum for 2 years. एक निश्चित धनराशि पर 4% वार्षिक ब्याज की दर से 2 वर्षों में चक्रवृद्धि ब्याज और साधारण ब्याज में अनुपात ज्ञात कीजिए ?

  1. 52 : 51

  2. 53 : 50

  3. 51 : 50

  4. 52 : 45

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

For 2 years at 4%, SI = (P × 4 × 2)/100 = 8P/100. CI = P(1 + 4/100)² - P = P(1.04² - 1) = P(1.0816 - 1) = 0.0816P = 8.16P/100. Ratio CI:SI = 8.16:8 = 816:800 = 51:50.