Question

4. A hat costs $28 after a 30% discount is applied. What was the hats original price?

Please explain if you can. ​

Answer 1

after a 30% discount, the hat is sold at a price of 70% which is $28.

70% -> $28
1% -> $0.40
100% -> $0.40 x 100
= $40

ans : $40

Answer 2

Answer and Step-by-step explanation:

$The~hat's~original~price~was~40.$

→ Step - 1 :

$Let~the~original~price~of~the~hat~be~x,~then~the~required~equation$ $becomes:$

$x=30$% $of~x=28$

→  Step - 2 :

$Replace~the~percentage~sign~with~\frac{1}{100}~to~convert ~in~to~an$ $equivalent ~fraction~and~then~evacuate~the~equation:$

$x-30$ × $\frac{1}{100}$ × $x=28$

→ Step - 3 :

⇒ $Simplify: x-0.3x=28$

                  $0.7x=28$

⇒ $Evacuate~x: x=\frac{28}{0.7}$

⇒ $Simplify: x=40$