Multiple choice

Raghu and Pratap borrow equal amount at simple interest and compound interest respectively at the rate of 5% per annum. After 3 years Pratap pays Rs. 457.50 more than that of Raghu. Find the total amount they borrowed individually? रघु और प्रताप 5% वार्षिक ब्याज की दर से समान राशि क्रमशः साधारण ब्याज और चक्रवृद्धि ब्याज पर उधार लेते हैं। 3 वर्ष बाद प्रताप, रघु की अपेक्षा 457.50 रू. अधिक अदा करता है। उनके द्वारा अलग-अलग ली गई कुल राशि ज्ञात कीजिए।

  1. Rs. 75000

  2. Rs. 60000

  3. Rs. 72000

  4. Rs. 64000

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

For principal P, simple interest for 3 years at 5% = P × 5 × 3 / 100 = 0.15P. Compound interest for 3 years at 5% = P(1.05³ - 1) = P(1.157625 - 1) = 0.157625P. Difference = 0.007625P = Rs. 457.50. So P = 457.50 / 0.007625 = Rs. 60000. The extra interest from compounding creates the difference between what Raghu and Pratap pay.