Multiple choice

The simplest interest of $x\%$ for $x$ years will be Rs. $x$ on a sum of ____________.

  1. Rs. $x$
  2. Rs. $100$x
  3. Rs. $\left(\displaystyle\frac{100}{x}\right)$
  4. Rs. $\left(\displaystyle\frac{100}{x^2}\right)$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

SI = P * R * T / 100. x = P * x * x / 100. 1 = P * x / 100. P = 100/x.

AI explanation

Using the simple interest formula, Simple Interest equals (Principal multiplied by Rate multiplied by Time) divided by 100. We substitute the given values into the formula as x equals (Principal times x times x) divided by 100. To find the Principal, we rearrange the equation to Principal equals 100x divided by x squared. Simplifying this by canceling one x from the numerator and denominator gives Principal equals Rs. (100/x).