Multiple choice

The compound interest for third year is Rs. 1053 on certain sum of money at certain rate of interest. On same sum of money at same rate of interest the second year compound interest is Rs. 936. Find the sum of money? किसी निश्चित धन पर किसी निश्चित ब्याज की दर से तीसरे वर्ष के लिए चक्रवृद्धि ब्याज 1053 रुपए है । उसी ब्याज की दर पर उसी धन पर द्वितीय वर्ष चक्रवृद्धि ब्याज 936 रुपए है । मूलधन ज्ञात कीजिये?

  1. Rs. 8854

  2. Rs. 6566

  3. Rs. 6656

  4. Rs. 7556

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

The difference between CI for 3rd year and 2nd year is the interest on 2nd year's CI for one year: 1053 - 936 = 117. So 936 × r/100 = 117, giving r = 12.5%. CI for 1st year = 936/1.125 = 832. Total CI for 2 years = 832 + 936 = 1768. Principal P satisfies: P(1.125)² - P = 1768, so P = 1768/0.265625 = Rs. 6656.