Multiple choice

A man borrows some money at 3% simple interest per annum and lends it to somebody at 5% interest to be compunded annually. By this he makes a profit of Rs. 541 at the end of 3 years. The money he borrowed was- एक आदमी ने 3% साधारण वार्षिक ब्याज पर कुछ राशि उधार ली और उसे 5% वार्षिक चक्रवृद्धि ब्याज पर किसी को ऋण पर दे दिया। इस प्रकार उसे 3 वर्ष के अंत में रू. 541 लाभ कमाया। उसके द्वारा उधार ली गयी राशि थी-

  1. Rs. 8,000

  2. Rs. 6,762

  3. Rs. 6,000

  4. Rs. 8,070

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

SI cost for 3 years at 3%: P × 3 × 0.03 = 0.09P. CI earned at 5% for 3 years: P(1.05³ - 1) = 0.157625P. Profit = 0.067625P = 541, giving P = 8000. The difference between compound interest earned and simple interest paid is the profit.