Multiple choice

A sum of money on compound interest amounts to Rs.9680 in 2 years and Rs.11712.8 in 4 years. What is the value of the principal amount? चक्रवृद्धि ब्याज पर एक धनराशि 2 वर्ष में 9680 रुपये और 4 वर्ष में 11712.8 रुपये की राशि हो जाती है । मूल राशि का मान क्या है?

  1. Rs.8080

  2. Rs.8008

  3. Rs.8800

  4. Rs.8000

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

The amount after 2 years is P(1+r)^2 and after 4 years is P(1+r)^4. The ratio is 11712.8/9680 = 1.21, which equals (1+r)^2. Solving gives 1+r = 1.1, so r = 10% and P = 8000/(1.1)^2 = Rs.8000.