Solve Percentage Problem

Example con how to solve percent problem.

Example 1

If $50\%$ of $x$ is equal to $40$, then what is $\dfrac{1}{10}$ of $x$?
  1. $20$
  2. $8$
  3. $50$
  4. $400$
  5. $0.1$

Solution

This example is about solving percentage questions.

  1. Translate "$50\%$ of $x$ is equal to 40" mathematically as follows

    $50\% x = 40$

  2. Conver $50\%$ as a fraction

    $50\% = \dfrac{50}{100}=\dfrac{1}{2}$

  3. We now rewrite the equation in (1) using $\dfrac{1}{2}$ instead of $50\%$

    $\dfrac{1}{2} x = 40$

    Solve for x the above equation

    x = 80

  4. Finally

    $\dfrac{1}{10}x=\dfrac{1}{10}\cdot 80= 8$

    Answer B