Multiple choice

Mohit borrows a certain sum of money from the PQR bank at 10 \% per annum at compound interest. The entire debt is discharged in full by Mohit on payment of two equal amounts of Rs. 1000 each, one at the end of the first year and the other at the end of the second year. What is the approximate value of the amount borrowed by him?

  1. Rs.1700

  2. Rs.1736

  3. Rs.1754

  4. Rs.1767

  5. Rs.1780

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

Let P be the borrowed amount. After 1st year at 10% CI: amount = P(1.1). Mohit pays Rs. 1000, so remaining principal = P(1.1) - 1000. After 2nd year: this grows to P(1.1) - 1000 = P(1.21) - 1100. Mohit pays another Rs. 1000 to clear debt. So P(1.21) - 1100 = 1000. Thus P(1.21) = 2100, so P = 2100/1.21 ≈ Rs. 1735.54 ≈ Rs. 1736. Verification: Borrow 1736, after 1 year: 1736 × 1.1 = 1909.6. Pay 1000, balance = 909.6. After 2nd year: 909.6 × 1.1 = 1000.56. Pay 1000, debt cleared.