Multiple choice

Ram borrows Rs. 8000 at 12% p.a. simple interest and Mohan borrows Rs. 9100 at 10% p.a. simple interest. In how many years will their borrowed amounts (debt) be equal?

  1. 18

  2. 20

  3. 22

  4. 24
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The debt for Ram is 8000 + (8000 * 0.12 * t) and for Mohan is 9100 + (9100 * 0.10 * t). Setting these equal: 8000 + 960t = 9100 + 910t. Solving for t gives 50t = 1100, so t = 22 years.

AI explanation

Ram's debt after t years is 8000 + (8000 * 12 * t / 100), which simplifies to 8000 + 960t. Mohan's debt is 9100 + (9100 * 10 * t / 100), or 9100 + 910t. Setting the debts equal gives 8000 + 960t = 9100 + 910t. Solving 50t = 1100 results in t = 22 years.

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