Question

If Vijay purchases a football for 56.65$andthisamountincludesataxof$3$% on the price of the football, what is the amount, in dollars, that he pays in tax? (Disregard the dollar sign when gridding your answer.)

• A. $1.65$
• B. $2$
• C. $3.25$
• D. $1.27$

Answer 1

Answer: (A)

$1.65$

Let the price of the football is $x$, then

$\Rightarrow x+\frac{3}{100}\times x=56.65$

$\Rightarrow \frac{100x+3x}{100}=56.65$

$\Rightarrow 103x=56.65\times 100$

$\Rightarrow 103x=5665$

$\Rightarrow x=\frac{5665}{103}=55$

Then the tax is $3\%$ of $55$

$\Rightarrow 3\%$ of $55=\frac{3}{100}\times 55$

$\Rightarrow \frac{165}{100}=1.65$