Multiple choice

A person borrowed Rs. 650 at 2% p.a. on simple interest and Rs. 800 at 4% p.a. on the agreement that the whole sum will be returned only when the total interest becomes Rs. 180. After how many years will the amount be paid?

  1. 2 years

  2. 3 years

  3. 4 years

  4. 5 years

  5. 6 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total interest = (650 * 0.02 * t) + (800 * 0.04 * t) = 180. 13t + 32t = 180. 45t = 180. t = 4 years.

AI explanation

The annual simple interest on the first amount is 650 times 2 divided by 100, which is 13. The annual simple interest on the second amount is 800 times 4 divided by 100, which is 32. The total annual interest for both loans combined is 13 plus 32, giving 45. To find the time required for the total interest to reach 180, divide the total interest by the annual interest: 180 divided by 45 equals 4.

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