RRB NTPC · Question 77
A sum of money of Rs. 1000 is lent out in two parts in such a way that the interest on one part at 10% per annum for 5 years is equal to another at 5% for 10 years. Calculate the sum lent out at 5%. A. Rs. 500 B. Rs. 800 C. Rs. 1000 D. Rs. 1200
Show answer & explanation
Answer: (C) A
Explanation
Let x be lent at 10% for 5 years and (1000 − x) at 5% for 10 years. Equal interest: x × 10 × 5 = (1000 − x) × 5 × 10, so x = 1000 − x and x = 500. The sum lent at 5% is Rs 500.