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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
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1703
Location: India
GPA: 3.01
WE: Engineering (Real Estate)
The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

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14 Apr 2019, 10:30
4
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:27) correct 36% (02:15) wrong based on 44 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

_________________
"Do not watch clock; Do what it does. KEEP GOING."
Senior Manager
Joined: 12 Sep 2017
Posts: 308
Re: The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

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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
VP
Joined: 31 Oct 2013
Posts: 1489
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

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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 $sp - cp = profit. 20 - 16 = 4 , profit. profit % : 4/16 * 100 = 25%. Matches with the given condition. Thus B is the correct answer. VP Joined: 20 Jul 2017 Posts: 1139 Location: India Concentration: Entrepreneurship, Marketing WE: Education (Education) Re: The cost price of 20 articles is the same as the selling price of x ar [#permalink] ### Show Tags 19 May 2019, 06:30 AkshdeepS wrote: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is A. 15 B. 16 C. 18 D. 25 E. 27 Let the cost price of each article = a$
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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Joined: 10 Sep 2018
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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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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)
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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