Question

How much is a $\$45$ sweater with $6\%$ tax?

Answer 1

Hint: Firstly, write the expression in percentage form i.e., expand the percentage symbol. Write it in terms of $\dfrac{1}{100}$ . Now multiply it with the given number. We are multiplying because they said $6%$tax on the sweater so we find the amount of tax that is on the sweater and then we add it to the actual amount of the sweater before taxing. Evaluate to get the total amount after taxing on the sweater.

Complete step by step solution:
The given expression which is needed to be solved first is $6%$ of $\$45$
Now write the percentage symbol into fraction form
We write the percentage symbol as $\dfrac{1}{100}$.
On rewriting the expression, we get,
$\Rightarrow 6\times \dfrac{1}{100}$ of $\$45$
Now we symbolize “of” as a multiplication operator.
$\Rightarrow 6\times \dfrac{1}{100}\times 45$
Now start evaluating the expression.
$\Rightarrow \dfrac{3}{50}\times 45$
On further simplification we get,
$\Rightarrow \dfrac{27}{10}$
We now convert this back into decimal form.
$\Rightarrow 2.7$
Units can be ignored while evaluation but must be written while writing the end solution.
Here the units are dollars.
Therefore, the tax is $\$2.7$
Now let us calculate the total amount after the taxing.
It is given by,
$\Rightarrow 45+2.7=47.7$
Hence, $\$45$ sweater with $6\%$ tax is $\$47.7$

Note: Since the word percentage means how much of one quantity can be expressed in between $1-100$ , Whenever there is a percent symbol which is denoted by $%\;$ symbol, convert it into the fraction, $\dfrac{1}{100}$ and to convert a fraction into percentage always multiply it with $100$. Cross-check answers by placing the solution in the question and then finding any other random variable.
Never forget to write the units of the given quantity after the whole evaluation. Units are what gives the quantity the recognition and identity.