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Example 1
If $50\%$ of $x$ is equal to $40$, then what is $\dfrac{1}{10}$ of $x$?
- $20$
- $8$
- $50$
- $400$
- $0.1$
Solution
This example is about solving percentage questions.
- Translate "$50\%$ of $x$ is equal to 40" mathematically as follows
$50\% x = 40$
- Conver $50\%$ as a fraction
$50\% = \dfrac{50}{100}=\dfrac{1}{2}$
- 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
- Finally
$\dfrac{1}{10}x=\dfrac{1}{10}\cdot 80= 8$
Answer B
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