Question

Suzanne bought a sweater at the sale price of $29.99. the original cost of the seater was $49.99. what percent represents the discount they suzanne received when buying the sweater?

a: 40% discount
b: 60% discount
c: 50% discount
d: none of the above

NEED HELP ASAP MASTERY GRADE

Answer 1

The reduction in price is:
37.5
%

Original price
→
$40
Reduced to

→
$25

Writing this as a fraction of the original price we have
25/40

But this represents the final price.
What we need is the amount of reduction


The price has been reduced by

$40−$25=$15

So as a fraction of the original price the reduction is:
15/40

Converting this to a percentage

Let the unknown value be
x

15/40=x/100


Multiply both sides by 100
15/40×100 = x × 100/100


But 100/100= 1

x = 15/40 × 100 = 37 1/2→37.5 giving: 37.5/100 = 37.5 × 1/100 = 37.5%

Answer 2

= 40%

Explanation:

Original price = 100%

Discount = Op - Np = $49.99 - $29.99 = $20

If $49.99 = 100%

What about $20 = ?

= (20 x 100) ÷ 49.99

= 2000 ÷ 49.99

= 40.008

= 40%