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

 It is currently 18 Oct 2019, 04:13

### 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

# A retailer originally bought 50 equally priced phones for a total of z

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58458
A retailer originally bought 50 equally priced phones for a total of z  [#permalink]

### Show Tags

24 Jan 2019, 03:51
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:32) correct 41% (01:13) wrong based on 25 sessions

### HideShow timer Statistics

A retailer originally bought 50 equally priced phones for a total of z dollars. If he sold each phone for 25% more than he paid for it, then in terms of z, how much was each phone sold for?

A z/50

B z/40

C 5z/4

D 4z/5

E 62.5z

_________________
Director
Joined: 09 Mar 2018
Posts: 994
Location: India
Re: A retailer originally bought 50 equally priced phones for a total of z  [#permalink]

### Show Tags

24 Jan 2019, 04:01
Bunuel wrote:
A retailer originally bought 50 equally priced phones for a total of z dollars. If he sold each phone for 25% more than he paid for it, then in terms of z, how much was each phone sold for?

A z/50

B z/40

C 5z/4

D 4z/5

E 62.5z

IMO B

50 mobiles were bought for 5000 dollars, just chose a value
1 mobile will be bought for 100 dollars

Now he sold for each phone for 25% greater value 125

Plug value back for z in the options to get value of each phone

5000/40 = 125
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
VP
Joined: 31 Oct 2013
Posts: 1464
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: A retailer originally bought 50 equally priced phones for a total of z  [#permalink]

### Show Tags

24 Jan 2019, 04:02
Bunuel wrote:
A retailer originally bought 50 equally priced phones for a total of z dollars. If he sold each phone for 25% more than he paid for it, then in terms of z, how much was each phone sold for?

A z/50

B z/40

C 5z/4

D 4z/5

E 62.5z

Cost price of each set = z/50

Selling price = z/50 * 125/100

= z/40.

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3074
Re: A retailer originally bought 50 equally priced phones for a total of z  [#permalink]

### Show Tags

24 Jan 2019, 05:07

Solution

Given:
• Original number of phones bought = 50, at a total price of z dollars
• Price of each phone is same
• Each phone is sold at a price of 25% more than the price at which he bought it

To find:
• Selling price of each phone

Approach and Working:
• Cost price of each phone = $$\frac{z}{50}$$
• Implies, selling price of each phone = $$\frac{z}{50}$$ + 25% of $$\frac{z}{50} = 1.25 * \frac{z}{50} = \frac{z}{40}$$

Hence, the correct answer is Option B

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5017
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A retailer originally bought 50 equally priced phones for a total of z  [#permalink]

### Show Tags

24 Jan 2019, 05:17
Bunuel wrote:
A retailer originally bought 50 equally priced phones for a total of z dollars. If he sold each phone for 25% more than he paid for it, then in terms of z, how much was each phone sold for?

A z/50

B z/40

C 5z/4

D 4z/5

E 62.5z

original price z/50
sp = 2*1.25/50 ; z/40
IMO B
Re: A retailer originally bought 50 equally priced phones for a total of z   [#permalink] 24 Jan 2019, 05:17
Display posts from previous: Sort by