Question

Dean’s Department Store reduces the price of a $30 shirt by 20%, but later raises it
again by 20% of the sale price. What is the final price of the shirt?

Answer 1

Let the original price of shirt be x

After the increase and decrease in price price of shirt equals price of shoe

As per the problem,

new price of shirt is

40 - 40/100 x 40

40 - 16 = 24

As per problem

24 = 6x/5

6x=120

x=20

Original price of shirt is $20.

Answer 2

Profit and Loss

Initial cost of shirt  is $30.

Percentage reduction on the price of shirt is 20%.

Percentage increased in price of shirt is 20% later.

Price of shirt after initial reduction is

$30-20\% \ of \ 30=80 \% \ of \ 30\ = \frac{80}{100}\times 30=24$

Hence, price after deduction becomes 24 $.

Again final price after increment in it

$24\ +20\% \ of \ 24\ = 120\% \ of\ 24\ =\frac{120}{100}\times 24\\\\= 28.8$

Hence, the final price of t-shirt is 28.8$.