Multiple choice

A person borrowed a certain sum at 10% p.a. for three years, interest being compounded annually. At the end of two years, he repaid a sum of Rs. 6634 and at the end of the third year, he cleared off the debt by paying Rs. 13,200. What was the sum borrowed by him? एक व्यक्ति ने एक निश्चित राशि को 10% प्रति वर्ष की चक्रवृद्धि ब्याज पर तीन वर्ष के लिए उधार लिया। दो साल के अंत में, उसने 6634 रुपये की राशि का भुगतान किया और तीसरे वर्ष के अंत में, उसने 13,200 रुपये का भुगतान करके कर्ज खत्म किया तो उसके द्वारा उधार ली गई राशि कितनी थी?

  1. Rs. 16,400 रु. 16,400

  2. Rs. 15,400 रु. 15,400

  3. Rs. 15,600 रु. 15,600

  4. Rs. 16,500 रु. 16,500

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the borrowed sum be P. After 2 years at 10% compound interest: P(1.10)² = 1.21P. After paying Rs. 6634, remaining debt = 1.21P - 6634. In the third year, this grows to: (1.21P - 6634) × 1.10 = 13200. Solving: 1.331P - 7297.4 = 13200, so 1.331P = 20497.4, giving P = Rs. 15400 (approximately). This is the original sum borrowed.

Keep practicing — related questions