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Portia purchased a laptop for $480, but after checking the merchant's

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Portia purchased a laptop for $480, but after checking the merchant's  [#permalink]

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New post 05 Jul 2018, 19:37
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Portia purchased a laptop for $480, but after checking the merchant's website realized that she had been overcharged by 20%. By how much, in dollars, was she overcharged?

A. $24
B. $48
C. $80
D. $96
E. $100

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Portia purchased a laptop for $480, but after checking the merchant's  [#permalink]

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New post Updated on: 05 Jul 2018, 19:58
Bunuel wrote:
Portia purchased a laptop for $480, but after checking the merchant's website realized that she had been overcharged by 20%. By how much, in dollars, was she overcharged?

A. $24
B. $48
C. $80
D. $96
E. $100



480 includes 20% extra. So,

\(\frac{480}{120}\) * 100 = 400 . So, 400 is the original price.

(480 - 400 ) = 80 ( extra amount )

Thus 80 is overcharged .

The best answer is C.

Originally posted by selim on 05 Jul 2018, 19:50.
Last edited by selim on 05 Jul 2018, 19:58, edited 4 times in total.
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Re: Portia purchased a laptop for $480, but after checking the merchant's  [#permalink]

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New post 05 Jul 2018, 19:54
1
(480 - 400 ) = 48 => you mean 80?


selim wrote:
Bunuel wrote:
Portia purchased a laptop for $480, but after checking the merchant's website realized that she had been overcharged by 20%. By how much, in dollars, was she overcharged?

A. $24
B. $48
C. $80
D. $96
E. $100



480 includes 20% extra. So,

(480 / 120) * 100 = 400

(480 - 400 ) = 48

Thus 48 is overcharged .

The best answer is B.

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Re: Portia purchased a laptop for $480, but after checking the merchant's  [#permalink]

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New post 05 Jul 2018, 20:27
1
Hi,

x*1.2=480
x=400
Ans 480-80 ie C
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Re: Portia purchased a laptop for $480, but after checking the merchant's  [#permalink]

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New post 14 Sep 2018, 22:08
(6/5)*x = 480 x = 400
extra money = 80
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Re: Portia purchased a laptop for $480, but after checking the merchant's  [#permalink]

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New post 01 Dec 2018, 12:38
Hi All,

We're told that Portia purchased a laptop for $480, but after checking the merchant's website realized that she had been overcharged by 20%. We're asked how many dollars she was overcharged. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS.

To start, since $480 is a 'round number', it's likely that the lower number is ALSO a round number (since if we started with a number that was NOT a round number, then increasing that number by 20% would likely lead to an even more-complex number - likely one with cents involved). Working from least to greatest, the first number that would give us another round number would be Answer C - so let's TEST that one first...

Answer C: $80
IF... the overcharge was $80, then....
The lower price is $480 - $80 = $400
20% of $400 = (.2)($400) = $80
This is an exact match for what we were told, so this must be the answer.

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Re: Portia purchased a laptop for $480, but after checking the merchant's &nbs [#permalink] 01 Dec 2018, 12:38
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Portia purchased a laptop for $480, but after checking the merchant's

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