Multiple choice

At the certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the rate of interest per annum. किसी निश्चित ब्याज की दर से किसी निश्चित धनराशि का 3 वर्ष का चक्रवृद्धि ब्याज एवं 5 वर्ष का साधारण ब्याज क्रमशः 1513.2 रू. तथा 2400 रू. है तो प्रतिवर्ष ब्याज दर ज्ञात कीजिए।

  1. 10%

  2. 5%

  3. 8%

  4. 4%

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

Set up SI formula: P×r×5/100 = 2400, giving P×r = 48000. Testing r=5%, P = 48000/5 = 9600. CI = 9600[(1.05)³-1] = 9600[1.157625-1] = 9600×0.157625 = 1513.2, which matches exactly. The rate is 5%.