Multiple choice

A sum of money on compound interest amounts to Rs. 10648 in 3 years and Rs. 9680 in 2 years. Find the sum of money. एक धनराशि चक्रवृद्धि ब्याज की दर से 3 वर्षों में रू. 10648 तथा 2 वर्षों में रू. 9680 हो जाती है। धनराशि ज्ञात कीजिए।

  1. 5000 रू.

  2. 6000 रू.

  3. 7000 रू.

  4. 8000 रू.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The amount grows from Rs. 9,680 (after 2 years) to Rs. 10,648 (after 3 years). This growth in one year gives us the rate: (10648 - 9680)/9680 = 0.1 = 10%. Working backwards, if amount after 2 years is 9680 and rate is 10%, then principal P satisfies P × (1.10)^2 = 9680. Therefore, P = 9680/1.21 = Rs. 8,000.

Keep practicing — related questions