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The sale price of an article is 25% more than its cost price.

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Intern
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Joined: 06 Jun 2014
Posts: 11
The sale price of an article is 25% more than its cost price.  [#permalink]

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New post 07 Mar 2016, 03:19
2
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D
E

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Question Stats:

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The sale price of an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?


A. $60
B. $80
C. $100
D. $150
E. $200
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V
Joined: 02 Aug 2009
Posts: 7106
Re: The sale price of an article is 25% more than its cost price.  [#permalink]

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New post 07 Mar 2016, 03:44
1
vinoo7 wrote:
The sale price of an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?


A. $60
B. $80
C. $100
D. $150
E. $200


Hi,
SP=1.25 CP..
so for SP to be an integer, CP should be a multiple of 4..
150 is not a multiple of 4..
ans D
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Re: The sale price of an article is 25% more than its cost price.  [#permalink]

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New post 07 Mar 2016, 04:12
vinoo7 wrote:
The sale price of an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?


A. $60
B. $80
C. $100
D. $150
E. $200


As chetan2u , mentioned above,

S = 1.25 C (S=sale price, C=cost price)

---> S = (5/4)*C = (1+1/4)*C = C+ C/4

Thus for S to be an integer ---> C must be a multiple of 4. Out of the given options, only option D is NOT a multiple of 4.

D is thus the correct answer.

Hope this helps.
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Re: The sale price of an article is 25% more than its cost price.  [#permalink]

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New post 07 Mar 2016, 06:02
vinoo7 wrote:
The sale price of an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?


A. $60
B. $80
C. $100
D. $150
E. $200



Answer - D

Whichever of the answer options is not divisible by 4 i.e 150
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Re: The sale price of an article is 25% more than its cost price.  [#permalink]

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New post 21 Sep 2016, 05:49
1
vinoo7 wrote:
The sale price of an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?


A. $60
B. $80
C. $100
D. $150
E. $200


sales price is 5x/4, where x is the cost price. since we are working with integers only, we need to identify a number that is not divisible by 4.
D is the answer.
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Re: The sale price of an article is 25% more than its cost price.  [#permalink]

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New post 26 Nov 2018, 01:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The sale price of an article is 25% more than its cost price. &nbs [#permalink] 26 Nov 2018, 01:47
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