Multiple choice

Simple interest on a certain sum is $\dfrac{36}{25}$ of the sum. Find the rate per cent and time if they are both numerically equal.

  1. $12\%,\,10$ yrs
  2. $10\%,\,10$ yrs
  3. $12\%,\,12$ yrs
  4. $6\%,\,6$ yrs
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

SI = (P * R * T) / 100. Given SI = 36/25 * P and R = T. 36/25 * P = (P * R * R) / 100. 36/25 = R^2 / 100. R^2 = 36 * 4 = 144. R = 12. T = 12 years.

AI explanation

Using the Simple Interest formula where interest equals (Rate times Time) divided by 100 times Principal, we are given that interest equals (36/25) times Principal. Since rate and time are numerically equal, substituting T for R gives (T squared) divided by 100 equals 36/25. Solving for T squared gives 144, so T equals 12; therefore, both the rate and time are 12 percent and 12 years.

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