♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A number :
[tex]x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
20% of it :
[tex] \frac{20}{100}x = \frac{2}{10} x = 0.2x \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A number increased by 20 % , thus :
[tex]x + 0.2x = 1.2x[/tex]
This is the resulting number.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
10% of resulting number :
[tex] \frac{10}{100} \times 1.2x = \frac{1}{10} \times 1.2x = \\ [/tex]
[tex]0.1 \times 1.2x = 0.12x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The resulting number decreased by 10% ; So :
[tex]1.2x - 0.12x = (1.20 - 0.12)x = \\ [/tex]
[tex]1.08x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]1.08x = 1x + 0.08x = x + 0.08x \\ [/tex]
Thus the overall change in the number as percent is :
[tex]0.08 \times 100 = \frac{8}{100} \times 100 = 8 \: percent \: \: increasing \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
