Question

$\text{The price of a house is}\$\frac{1}{2}\text{million. If}\frac{1}{5}\text{th of the price is tax, the percentage of tax is}$

• A. 20%
• B. 30%
• C. 40%
• D. 50%

Answer 1

The correct option is A 20%

$\text{Price paid as tax is}\frac{1}{5}\text{th of}\$\frac{1}{2}\text{million}$

$=\frac{1}{5}\times \frac{1}{2}=\frac{1\times 1}{5\times 2}=\$\frac{1}{10}\text{million}$

$\text{Percentage of tax}$

$=\text{Price paid as tax}÷\text{Price of the house}$

$=\$\frac{1}{10}\text{million}÷\$\frac{1}{2}\text{million}$

$\text{Calculating}\frac{1}{10}÷\frac{1}{2}\text{using the}keep-change-flip\text{method, we get:}$


$\text{Calculating}\frac{1}{10}\times \frac{2}{1}\text{we get:}$

$\frac{1}{10}\times \frac{2}{1}=\frac{1\times 2}{10\times 1}=\frac{2}{10}=\frac{2\times 10}{10\times 10}=\frac{20}{100}$

$\text{Converting the fraction into percentage,}\text{we get:}$

$\frac{20}{100}=\frac{20}{100}\times 100$% $=20$%