GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 31 May 2020, 03:06 ### 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.  # If m pencils cost the same as n pens, and each pencil costs 20 cents,

Author Message
TAGS:

### Hide Tags

Current Student P
Status: Chasing my MBB Dream!
Joined: 29 Aug 2012
Posts: 1095
Location: United States (DC)
WE: General Management (Aerospace and Defense)
If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

Top Contributor
5 00:00

Difficulty:   35% (medium)

Question Stats: 74% (02:07) correct 26% (02:22) wrong based on 139 sessions

### HideShow timer Statistics

If m pencils cost the same as n pens, and each pencil costs 20 cents, what is the cost, in dollars, of 10 pens, if each pen costs the same amount? (100 cents = 1 dollar)

A. 200n/m

B. 2n/100m

C. 2m/n

D. 2n/m

E. 200nm

_________________
Become a GMAT Club Premium member to unlock discounts

MBA, Class of 2020,
Manager  B
Joined: 24 Jun 2017
Posts: 113
Re: If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

2
equality
20*m=n*x (x price of pens)
multiply the equality by 10
10*20*m=10*n*x
200m=10nx
10x=200m/n or in dollars 2m/n
Senior Manager  P
Joined: 07 Jul 2012
Posts: 356
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

Let cost of each pen= y
No of pens= n
Total cost of pen= ny

Cost of each pencil= 20 cents
No of pencils= m
Total cost of pencil= 20m

Total cost of m pencils= Total cost of n pens
20m=ny
Multiply both sides by 10
200m= 10ny
10y =$$\frac{200m}{n}$$
10y= $$\frac{2m}{n}$$ (100cents= 1 dollar)
cost of 10 pencils= 10y

Kudos please if you like my explanation!
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1124
Location: India
GPA: 3.82
Re: If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

Gnpth wrote:
If m pencils cost the same as n pens, and each pencil costs 20 cents, what is the cost, in dollars, of 10 pens, if each pen costs the same amount? (100 cents = 1 dollar)

A. 200n/m

B. 2n/100m

C. 2m/n

D. 2n/m

E. 200nm

Given: $$n$$ pens $$= m$$ pencils

=> $$1$$ pen $$= \frac{m}{n}$$ pencils

therefore $$10$$ pens $$= \frac{10m}{n}$$ pencils

Given cost of $$1$$ pencil = $$20$$ cents

therefore cost of $$m$$ pencils $$= 20m$$ cents

hence cost of $$10$$ pens in $$= \frac{(10*20m)}{n}*\frac{1}{100} = \frac{2m}{n}$$

Option C
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3253
Location: India
GPA: 3.12
If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

The cost of m pencils is the same as the cost of n pens.
Assume m = 5 and n = 4
Let x be the cost of a pen.

Given data: Cost of a pencil - 20 cents

20m = nx
20*5 = 4*x => x = 5*5 = 25 cents
Therefore, if each pencil costs 20 cents, the pens cost 25 cents.

We have been asked to find the cost of 10 pens in dollars,
the cost of 10 pens will be 250 cents or 2.5$Putting the values of m and n in the answer options, we will be able to arrive at the solution A. $$\frac{200n}{m} = \frac{200*4}{5} = 250$$$(wrong)
B. $$\frac{2n}{100m} = \frac{2 * 5}{100 * 4} = \frac{1}{40} = 0.25$$$(wrong) C. $$\frac{2m}{n} = \frac{2*5}{4} = 2*1.25 = 2.5$$$(correct)

Hence, Option C is the correct answer option.
_________________
You've got what it takes, but it will take everything you've got
Director  D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 950
WE: Supply Chain Management (Energy and Utilities)
If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

Bunuel wrote:
If m pencils cost the same as n pens, and each pencil costs 20 cents, what is the cost, in dollars, of 10 pens, if each pen costs the same amount? (100 cents = 1 dollar)

(A) $$\frac{200n}{m}$$

(B) $$\frac{2n}{100m}$$

(C) $$\frac{2m}{n}$$

(D) $$\frac{2n}{m}$$

(E) $$200mn$$

Given the unit cost of pencil=20 cents=$0.2. Let the unit cost of pen$x.
Given, m pencils cost the same as n pens.
So, 0.2*m=n*x
Or, x=$$\frac{0.2m}{n}$$

Ans. (C)

So, cost of 10 pens=unit cost of pen * no of pens=x*10=$$\frac{0.2m}{n}*10$$=$$\frac{2m}{n}$$
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Intern  B
Joined: 24 Jun 2018
Posts: 27
Location: India
Re: If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

varun4s wrote:
Let cost of each pen= y
No of pens= n
Total cost of pen= ny

Cost of each pencil= 20 cents
No of pencils= m
Total cost of pencil= 20m

Total cost of m pencils= Total cost of n pens
20m=ny
Multiply both sides by 10
200m= 10ny
10y =$$\frac{200m}{n}$$
10y= $$\frac{2m}{n}$$ (100cents= 1 dollar)
cost of 10 pencils= 10y

Kudos please if you like my explanation!

Why both sides are multiplied by 10??
Intern  Joined: 24 Oct 2018
Posts: 9
Re: If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

=> 11 pen

therefore 1010 pens

Given cost of 11 pencil

therefore cost of mm pencils =20m=20m cents

Option C
Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10605
Location: United States (CA)
Re: If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

Gnpth wrote:
If m pencils cost the same as n pens, and each pencil costs 20 cents, what is the cost, in dollars, of 10 pens, if each pen costs the same amount? (100 cents = 1 dollar)

A. 200n/m

B. 2n/100m

C. 2m/n

D. 2n/m

E. 200nm

We can let p = the cost of a pen, in cents and we can create the equation:

20m = pn

20m/n = p

So the cost of each pen, in dollars, is (20m/n)/100 = 20m/100n = m/5n.

So 10 pens cost:

10 x m/5n = 2m/n dollars.

Alternate Solution:

We are told that m pencils cost the same as n pens, and pencils cost 20 cents (0.20 dollars) each, so we have:

0.20m = n

We see that n pens cost 0.20m, so the cost of one pen can be obtained by dividing by n, so we get:

0.20m/n = n/n

0.20m/n = 1

Since 1 pen costs 0.20m/n dollars, then 10 pens costs (0.20m/n) x 10 = 2m/n dollars.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern  G
Joined: 27 Feb 2018
Posts: 41
Location: India
Concentration: Strategy, Entrepreneurship
GMAT 1: 650 Q48 V32
GPA: 3.86
Re: If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

Gnpth wrote:
If m pencils cost the same as n pens, and each pencil costs 20 cents, what is the cost, in dollars, of 10 pens, if each pen costs the same amount? (100 cents = 1 dollar)

A. 200n/m

B. 2n/100m

C. 2m/n

D. 2n/m

E. 200nm

pencil costs-20 cents
we have m pencils, so m pencil total cost=20m cents

20 m cost=n x - where n is no of pens

so 1 pen cost-20m/n cents
10-pen cost-200m/n cents
1 dollar=100 cents

so 10 pen cost-200m/n * 1/100=20m/n

correct OA:C
Non-Human User Joined: 09 Sep 2013
Posts: 15024
Re: If m pencils cost the same as n pens, and each pencil costs 20 cents,  [#permalink]

### Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: If m pencils cost the same as n pens, and each pencil costs 20 cents,   [#permalink] 07 Jan 2020, 07:46

# If m pencils cost the same as n pens, and each pencil costs 20 cents,  