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# If the cost price of 20 articles is equal to the selling price of 25

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If the cost price of 20 articles is equal to the selling price of 25 [#permalink]

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19 Oct 2010, 05:33
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If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?

A. 25% loss
B. 25% profit
C. 20% loss
D. 20% profit
E. 5% profit
[Reveal] Spoiler: OA
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Re: If the cost price of 20 articles is equal to the selling price of 25 [#permalink]

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19 Oct 2010, 06:43
Let the cost price of 1 article be $1. Therefore, cost price of 20 articles = 20 * 1 =$20

The selling price of 25 articles = cost price of 20 articles = $20. Now, we know the selling price of 25 articles. Let us find the cost price of 25 articles. Cost price of 25 articles = 25 * 1 =$25.

Therefore, profit made on sale of 25 articles = Selling price of 25 articles - cost price of 25 articles

= 20 - 25 = -$5. As the profit is in the negative, the merchant has made a loss of$5.

Therefore, % loss = loss/cp * 100
% loss = -5/25 * 100 = 20% loss.
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Re: If the cost price of 20 articles is equal to the selling price of 25 [#permalink]

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19 Oct 2010, 07:18
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Let cost price of one article be c and selling price of one article be s.
We need to find profit/loss% which is equal to ((s-c)/c) x 100 = (s/c - 1) x 100

Given that 20c = 25s. Then s/c = 4/5
Profit% = (4/5 - 1) x 100 = -20%

Note: It is preferable to use as few variables as possible but in situations where cp of n articles = sp of m articles, it is better to use different variables for clarity.
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Last edited by VeritasPrepKarishma on 19 Oct 2010, 11:30, edited 1 time in total.
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Re: If the cost price of 20 articles is equal to the selling price of 25 [#permalink]

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19 Oct 2010, 10:30
it's 20% loss - C.. OA pls
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Re: If the cost price of 20 articles is equal to the selling price of 25 [#permalink]

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23 Aug 2016, 04:35
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Re: If the cost price of 20 articles is equal to the selling price of 25 [#permalink]

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18 Oct 2016, 15:14
Think of it this way...

we can create the following equation --> 20x = 25y

Plug in random values for x and y, such as x=5 & y=4

Then use percentage change eqn to solve for answer: (4-5)/5 = -20%
Re: If the cost price of 20 articles is equal to the selling price of 25   [#permalink] 18 Oct 2016, 15:14
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