Multiple choice

A sum of money becomes $\displaystyle \frac{41}{40}$ of itself in $\displaystyle \frac{1}{4}$ years at a certain rate of simple interest. What is the rate of interest per annum

  1. $8 \%$ per annum 
  2. $10 \%$ per annum 
  3. $12 \%$ per annum 
  4. $14 \%$ per annum 
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Simple interest = (41/40 - 1) * Principal = 1/40 * Principal. SI = P * R * T / 100. (1/40)P = P * R * (1/4) / 100. 1/40 = R / 400. R = 10%.

AI explanation

Using the simple interest formula, the interest earned is 41/40 of the principal minus the principal, which equals 1/40 of the principal. The rate of interest is calculated as (Interest times 100) divided by (Principal times Time). Substituting the values gives the rate as (1/40 times 100) divided by (1 times 1/4), resulting in 10 percent per annum. The rate of interest is 10 percent per annum.