Problem:
Solve:
Percentage (P) = 36; Rate (R) = 20%; Find Base (B)
Solution:
[tex] \red{b = 36 \div 20\%}[/tex]
[tex]b = 36 \div \frac{20}{100} [/tex]
[tex]b = 36 \times \frac{100}{20} [/tex]
[tex]b = 9 \times \frac{100}{5} [/tex]
[tex]b = \frac{900}{5} [/tex]
[tex] \blue{b = \boxed{180}}[/tex]
Checking:
1.
[tex] \blue{p = 180 \times 20\%}[/tex]
[tex]p = 180 \times \frac{20}{100} [/tex]
[tex]p = 9 \times \frac{20}{5} [/tex]
[tex]p = \frac{180}{5} [/tex]
[tex] \red{p = \underline{36}}[/tex]
2.
[tex] \blue{r = \frac{36}{180} \times 100}[/tex]
[tex]r = \frac{36}{9} \times 5[/tex]
[tex]r = \frac{180}{9} [/tex]
[tex] \red{r = \underline{20\%}}[/tex]
Final Answer:
B = 180
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