Question

The price of a shirt is increased by $20\%$, and the price of a 40$pairofshoesisdecreasedby$40\%$. If the new price of the shirt now equals the new price of the shoes, calculate the original price of shirt.

• A. 16$
• B. 20$
• C. 24$
• D. 28$
• E. 32$

Answer 1

Answer: (B)

20$Lettheoriginalpriceofshirtbe$x$

After the increase in price of shirt equals decrease in price of shoe
As per the problem,
new price of shirt is
$x+\frac{20}{100}\times x$ $=x+\frac{x}{5}$
$=\frac{5x+x}{5}$

$=\frac{6x}{5}$
new price of shoe is
$40-\frac{40}{100}\times 40$
$40-16=24$
As per problem,
$24=\frac{6x}{5}$
$6x=120$
$x=20$
Original price of shirt is $\$20$.