Multiple choice

The compound interest on a certain sum at a certain rate of interest per annum for the second year and third year are Rs.3300 and Rs.3630 respectively. What is the amount obtained after 2.5 years when the same sum is lent at the same rate of interest compounded yearly? एक निश्चित राशि पर दूसरे वर्ष और तीसरे वर्ष के लिए एक निश्चित ब्याज दर पर चक्रवृद्धि ब्याज क्रमशः 3300 रुपये और 3630 रुपये है। 2.5 वर्ष के बाद प्राप्त राशि क्या है जब समान राशि को समान वार्षिक चक्रवृद्धि ब्याज दर पर उधार दिया जाता है?

  1. Rs 37215 37215 रुपये

  2. Rs 36300 36300 रुपये

  3. Rs 38115 38115 रुपये

  4. Rs 36000 36000 रुपये

  5. Rs 34728 34728 रुपये
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Compound interest for 3rd year is 3630 and for 2nd year is 3300. The difference is 3630 - 3300 = 330, which is the interest on 3300 at rate r%. So 330 = 3300 × r/100, giving r = 10%. Amount after 2 years at 10% CI = P(1.1)² where 2nd year CI = P × 1.1 × 0.1 = 3300, so P = 33000. Amount after 2.5 years = 33000(1.1)² × 1.05 = 36300 × 1.05 = 38115.

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