A blue ray disc is on sale for $19. If this represents a 17% discount rate, what was the original price

Question

A blue ray disc is on sale for $19. If this represents a 17% discount rate, what was the original price?

Answer 1

Hi Kaytlin,

Let's summarize the fact given;

$19 => 83% (100%-17% = 83%)

Now, let's solve it;

83% => $19

83%÷83 = 1% => $19÷83 (Divide left and right by the same divisor)

1% => $19÷83

1%X100 => ($19÷83)X100

100% => $22.89

Therefore, the original price is $22.89

To check your answer;

83% X $22.89 = $19

Answer 2

A blue ray disc is on sale for $19. If this represents a 17% discount rate, what was the original price?

Detailed Solution:

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Let the original price be: x = 100%

It is on sale for price: $19 = 100% - 17% = 83%

x = 100%

$19 = 83%

Cross Multiplication:

(x)(83%) = ($19)(100%)

x = ($19)(100%)/(83%) = $22.89

x = $22.89 (original price of blue ray disc)

Check your answer: x = $22.89

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(x)(83%) = $19 ==> ($22.89)(83%) = $19 ==> ($18.9987) = $19 ==> $19 = $19

Answer 3

The original price would be $22.89 since reducing that number by 17% equals $19.

When we reduce a number by 17% it leaves 83% of the original number. We then know that $19 is 83% of a number, and that percents can be written as a decimal.

19n = .83

By solving for n we get $22.89.