Shatoria M.

asked • 01/30/16

Question is in description.

Seth buys last year's best-selling novel, in hardcover, for $21.75. This is with a 25% discount from the original price. What was the original price of the novel?

Shatoria M.

I don't understand what steps to use or how to Get the answer I have tried the % formula 
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01/30/16

1 Expert Answer

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Dmitriy C. answered • 01/30/16

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$21.75   =  X
75%      = 100
 
Cross multiply what you can and divide the rest. So.....
$21.75  x 100 = $2175
$2175 / 75% = $29 (Price before discount)
 
Check:
$29 x .75 (percent of what we want to know we paid) = $21.75
 
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Shatoria M.

So is the answer 21.75
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01/30/16

Dmitriy C.

Original price is $29.00
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01/30/16

Dmitriy C.

Do you understand why?
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01/30/16

Shatoria M.

I don't. Can you explain it with this problem please. Mark buys last year's best-selling novel, in hardcover, for $20.80. This is with a 20% discount from the original price. What was the original price of the novel?
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01/30/16

Dmitriy C.

Sure. Ok so we know that $20.80 is 80% of the original price. We want to know 100%. A table formula will help us:
 
$20.80         X
(equals)     (equals)
80%           100%
 
I know it looks weird, but just trust me.
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01/30/16

Dmitriy C.

So next we multiply 100% by $20.80 and divide by 80%
 
100 x 20.80 = 2080 / 80 = 26
 
$26 is the price without the discount
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01/30/16

Shatoria M.

Okay sir. If I am doing this right the original price will be 26 dollars? 
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01/30/16

Dmitriy C.

The formula states that we cross multiply what we can. In this case, its 100 and $20.80. We divide what's leftover. That would be by 80%.
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01/30/16

Dmitriy C.

Yes! Correct! Good job!
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01/30/16

Shatoria M.

20.80*100= 2080 then I would do 2080/80% which would give me 26 is that correct or did I do something wrong? 
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01/30/16

Shatoria M.

Thanks so much 
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01/30/16

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