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# The cost price and selling price is such that the cost price of 36 art

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CAT Forum Moderator
Joined: 29 Nov 2018
Posts: 282
Concentration: Marketing, Strategy
The cost price and selling price is such that the cost price of 36 art  [#permalink]

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23 Mar 2019, 09:14
4
00:00

Difficulty:

55% (hard)

Question Stats:

54% (02:05) correct 46% (02:36) wrong based on 24 sessions

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The cost price and selling price is such that the cost price of 36 articles is equal to the selling price of x articles. Find the value of x that will result in a profit of 12.5%

1. 40
2. 36
3. 32
4. 27
5. 24
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Joined: 17 Jul 2016
Posts: 54
The cost price and selling price is such that the cost price of 36 art  [#permalink]

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Updated on: 24 Mar 2019, 02:23
Let the cost price per article be c. The cost price of 36 articles would be 36c.

Since The selling price of x articles equals the cost price of 36 the selling price of x articles must be 36c.

So the selling price per article is 36c/x

Now 12.5 % =1/8

Profit is also (selling price-cost)/(cost)

(36c/x-c)/(c)=(1/8)

The c's cancel and we obtain 32 for x.

Originally posted by Henry S. Hudson Jr. on 23 Mar 2019, 20:50.
Last edited by Henry S. Hudson Jr. on 24 Mar 2019, 02:23, edited 2 times in total.
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Re: The cost price and selling price is such that the cost price of 36 art  [#permalink]

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23 Mar 2019, 22:23
3
The question says CP of 36#=SP of x# (#=articles).....................(eq 1)

Let
Cost per unit = 100
+Profit per unit = 12.5
Sales per unit = 112.5

Putting these values in eq 1,
100 * 36= 112.5 * x
$$\frac{3600}{112.5}$$ = x
Therefore, x = 32
Re: The cost price and selling price is such that the cost price of 36 art   [#permalink] 23 Mar 2019, 22:23
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