Multiple choice

Alipta got some amount of money from her father. In how many years will the ratio of the money and the interest obtained from it be 10 : 3 at 6% simple interest per annum?

  1. 7 years

  2. 3 years

  3. 5 years

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

Simple interest I = (P*R*T)/100. Given I/P = 3/10 and R = 6. 3/10 = (6*T)/100 => 30 = 6T => T = 5 years.

AI explanation

The ratio of the money to the interest is 10 to 3, so if the principal is 10x, the interest is 3x. Using the simple interest formula P times R times T divided by 100 equals SI, we substitute the values to get 10x times 6 times T divided by 100 equals 3x. Solving for T gives 60xT equals 300x, so the time taken is 5 years.

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