GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 07 Dec 2019, 07:05 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # The cost price of 20 articles is the same as the selling price of x ar

Author Message
TAGS:

### Hide Tags

SVP  V
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]

### Show Tags

4 00:00

Difficulty:   35% (medium)

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

### HideShow timer Statistics

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  G
Joined: 12 Sep 2017
Posts: 308
Re: The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

### Show Tags

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  D
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]

### Show Tags

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

Posted from my mobile device
Intern  B
Joined: 10 Sep 2018
Posts: 7
GMAT 1: 600 Q41 V31 GPA: 3.58
WE: Corporate Finance (Consulting)
Re: The cost price of 20 articles is the same as the selling price of x ar  [#permalink]

### Show Tags

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
Display posts from previous: Sort by

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