Multiple choice

The simple interest on a certain amount will be 3/4 of the principal after a certain number of years. If the interest is Rs. 385.50 at the end of the second year, find the rate of interest per annum.

  1. 15%

  2. 14%

  3. 13%

  4. Data insufficient

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Simple interest SI = P * R * T / 100. We are given SI = 3/4 P. So 3/4 P = P * R * T / 100. We know SI = 385.50 at T=2. This means 3/4 P = 385.50, so P = 514. But we don't have enough info to separate R and T definitively without assuming T=2 is the time for the 3/4 interest.

AI explanation

The problem states that the total interest equals 3/4 of the principal but provides no information regarding the original time period for this specific condition. Because the simple interest formula requires the time variable to find the rate, and the interest of Rs. 385.50 at the end of the second year still does not give us the original principal or the original time period, the necessary variables are missing. Therefore, the given information is insufficient to calculate the rate.

Keep practicing — related questions