Multiple choice

Rihana took a loan of $Rs. 1200$ with simple interest for as many years as the rate of interest. If she paid $Rs. 432$ as interest at the end of the loan period. Find the time period she has take to return the loan.

  1. $3.6\ years$
  2. $6\ years$
  3. $18\ years$
  4. $Cannot\ be\ determined$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Simple interest formula: I = (P * R * T) / 100. Given P = 1200, I = 432, and R = T. So, 432 = (1200 * T * T) / 100. 432 = 12 * T^2. T^2 = 36. T = 6.

AI explanation

Let the time period and the rate of interest both equal R, and use the simple interest formula to get 432 = (1200 * R * R) / 100. This simplifies to 432 = 12 * R squared, so R squared equals 36. Taking the positive root gives R = 6, meaning the time period is 6 years.

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