Multiple choice

On a certain principal the compound interest compounded annually for the second year at x% per annum is 110% of the compound interest for the first year. The difference in the compound interest for the second year and simple interest for the fifth year on the same principal is Rs.12. The principal is एक निश्चित मूलधन पर x% चक्रवृद्धि वार्षिक ब्याज की दर से द्वितीय वर्ष का चक्रवृद्धि ब्याज प्रथम वर्ष के चक्रवृद्धि ब्याज से 110% अधिक है | द्वितीय वर्ष के चक्रवृद्धि ब्याज और पांचवे वर्ष के साधारण ब्याज में अन्तर रु.12 है | मूलधन है

  1. Rs./रु.1250

  2. Rs./रु1000

  3. Rs./रु1200

  4. Rs./रु1320

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

For compound interest, interest in year n = P(1+r/100)^(n-1) × r/100. CI for 2nd year is 110% of 1st year means (1+r/100) = 2.1, so r = 110%. CI for 2nd year = P × 1.1 × 1.1 = 1.21P. SI for 5th year = P × 5 × 1.1 = 5.5P. Difference = 5.5P - 1.21P = 12. P = 1200.