Multiple choice

A sum of money becomes Rs. 4500 after 't' years and Rs. 6750 after 't2' years on compound interest. The sum is- एक धनराशि 't' वर्षों में चक्रवृद्धि ब्याज पर 4500 रू. और 't2' वर्षों के बाद 6750 रू. हो जाती है, तो धनराशि है-

  1. Rs. 4000

  2. Rs. 2500

  3. Rs. 3000

  4. Rs. 3050
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the principal be P and rate be r%. Then P(1+r)^t = 4500 and P(1+r)^(2t) = 6750. Dividing: (1+r)^t = 6750/4500 = 1.5. So P = 4500/1.5 = 3000. This works because the amount doubles every t years at the same rate. Rs. 3000 is the only option that satisfies the compound interest relationship.

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