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The cost price of 20 articles is the same as the selling price of x ar

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SVP
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Status: It's near - I can see.
Joined: 13 Apr 2013
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Concentration: International Business, Operations
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The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

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New post 14 Apr 2019, 10:30
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A
B
C
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E

Difficulty:

  35% (medium)

Question Stats:

65% (01:27) correct 35% (02:17) wrong based on 43 sessions

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The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is

A. 15

B. 16

C. 18

D. 25

E. 27

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Re: The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

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New post 14 Apr 2019, 18:28
Hello AkshdeepS!

Could you please clarify to me why is it wrong what Im doing?

Sell: 2 dlls
Cost: 1.5 dlls (which is the 75% of 2 dlls)

So 20(1.50) = 30 items

30/2 = 15
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Re: The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

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New post 19 May 2019, 05:06
AkshdeepS wrote:
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is

A. 15

B. 16

C. 18

D. 25

E. 27



I would like to use back Solving Method.

let x = 16.

selling price of 16 articles = cost price of 20 articles.

let cost price of each article be $ 1.

selling price of 16 articles = 20 $

Cost price of 16 articles = 16 $

sp - cp = profit.

20 - 16 = 4 , profit.

profit % :

4/16 * 100 = 25%. Matches with the given condition.

Thus B is the correct answer.
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Re: The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

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New post 19 May 2019, 06:30
AkshdeepS wrote:
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is

A. 15

B. 16

C. 18

D. 25

E. 27


Let the cost price of each article = a $
And selling price of each article = b $

Profit = 25%
—> Sp/Cp = 1.25
—> b/a = 1.25 or 5/4

The cost price of 20 articles is the same as the selling price of x articles
—> 20*a = x*b
—> b/a = 20/x
—> 20/x = 5/4
—> x = 20*4/5 = 16

So, option B

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Re: The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

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New post 08 Aug 2019, 03:40
Let the cost price be cp
Let the selling price be sp
Profit = sp-cp
Profit % =\(\frac{sp-cp}{cp}\)

Given: x = number of articles

20cp = x*sp.........(1)

Given profit % = 25%
The same can be written as:
\(\frac{(sp-cp)}{cp}\) = \(\frac{25}{100}\)

100(sp-cp) = 25cp

\(\frac{100 (sp-cp)}{25}\) = cp

4(sp-cp) = cp
4sp - 4cp = cp
4sp = 5cp
sp = \(\frac{5}{4}\)cp

Substitute the value of sp in (1) above:
20cp = x*\(\frac{5}{4}\)cp

\(\frac{20cp*4}{5cp}\) = x
16 = x

Option (B)
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Re: The cost price of 20 articles is the same as the selling price of x ar   [#permalink] 08 Aug 2019, 03:40
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