Question

Antoine bought a new electric guitar that cost 588.60$after$9$% sales tax was added. What was the price of the guitar without tax?

• A. 536$
• B. 540$
• C. 542$
• D. 545$
• E. 548$

Answer 1

The correct option is B 540$Letthepriceofguitarwithouttaxbe$x$Salestaxgivenis$9\%$

As per problem, price of guitar after sales tax is $\$588.60$
$\Rightarrow x+\frac{9}{100}\times x=588.60$
$\Rightarrow x+\frac{9x}{100}=588.60$
$\Rightarrow \frac{100x+9x}{100}=588.60$
$\Rightarrow 109x=58860$
$\Rightarrow x=\frac{58860}{109}=540$
Price of the guiter without tax is $\$540$.