Multiple choice

The amount on a certain sum at a certain rate of compound interest for the second year and third year is Rs. 21780 and Rs. 23958 respectively. Find the compound interest at the same rate of interest in two years. /एक निश्चित धनराशि पर निश्चित ब्याज की दर से क्रमशः द्वितीय वर्ष और तृतीय वर्ष का मिश्रधन क्रमशः 21780 रू. और 23958 रू. हो जाता है। दो वर्ष में उसी ब्याज दर पर उपचित चक्रवृद्धि ब्याज ज्ञात कीजिए।

  1. Rs. 3280

  2. Rs. 3580

  3. Rs. 3680

  4. Rs. 3780

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

Amount after 2nd year = 21780, after 3rd year = 23958. Interest for 3rd year = 23958 - 21780 = 2178. This is the interest on 21780 at rate r%. So r = (2178/21780) × 100 = 10%. Interest for 2nd year = 21780 - Amount after 1st year. Let A1 = amount after 1st year. Then A1 × 1.10 = 21780, so A1 = 19800. Principal = 19800/1.10 = 18000. CI for 2 years = 21780 - 18000 = 3780. ✓