Respuesta :
Answer:
= 40%
Step-by-step 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%
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%
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%