Multiple choice

Cozby took Rs. 4,800 as a loan from her friend. Find the time period, if she paid Rs. 1,728 as interest at the end of the loan period and the rate of interest is the same as the time period.

  1. 9 years

  2. 8 years

  3. 7 years

  4. 6 years

  5. 5 years

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

Simple interest I = (P * R * T) / 100. Given I = 1728, P = 4800, and R = T. 1728 = (4800 * T * T) / 100. 1728 = 48 * T^2. T^2 = 1728 / 48 = 36. T = 6.

AI explanation

Using the Simple Interest formula SI = (P * R * T) / 100, we substitute the given values: 1728 = (4800 * T * T) / 100 since the rate equals the time. This simplifies to 1728 = 48 * T^2, so T^2 = 36. Taking the positive square root, the time period is 6 years.