It is currently 21 Oct 2020, 14:35

### 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 clothing store bought 100 shirts for $x. If the store sold  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Retired Moderator Joined: 07 Jun 2014 Posts: 4803 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 173 Kudos [?]: 2970 [1] , given: 394 A clothing store bought 100 shirts for$x. If the store sold [#permalink]  19 Aug 2018, 03:38
1
KUDOS
Expert's post
00:00

Question Stats:

60% (01:02) correct 39% (01:06) wrong based on 53 sessions
A clothing store bought 100 shirts for $x. If the store sold all of the shirts at the same price for a total of$50, what is the store’s profit per shirt, in dollars, in terms of x?

(A) $$50 - \frac{x}{100}$$
(B) $$50 - x$$
(C) $$5 - x$$
(D) $$0.5 - x$$
(E) $$0.5 - \frac{x}{100}$$
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Joined: 19 Oct 2018
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: A clothing store bought 100 shirts for $x. If the store sold [#permalink] 19 Oct 2018, 13:44 Hi! How do you do the work for this problem? Anyone know? Supreme Moderator Joined: 01 Nov 2017 Posts: 371 Followers: 12 Kudos [?]: 180 [2] , given: 4 Re: A clothing store bought 100 shirts for$x. If the store sold [#permalink]  19 Oct 2018, 19:55
2
KUDOS
Expert's post
ayesupatham wrote:
Hi!

How do you do the work for this problem? Anyone know?

Hi,

It is quite straightforward forward and you can do it in two ways..
1) Algebraic..
100 for X but sold for 50..
Thus overall profit is (50-x)..
But we are looking for profit per piece = $$\frac{50-x}{100}=0.5-\frac{X}{100}$$
E
2) substitute a value for X
Let X = 40
So profit = 50-40=10
Per piece = 10/100=0.1
Only E gives you 0.1 as answer 0.5-40/100=0.5-0.4=0.1
E
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Intern
Joined: 10 Oct 2020
Posts: 13
Followers: 0

Kudos [?]: 7 [1] , given: 0

Re: A clothing store bought 100 shirts for $x. If the store sold [#permalink] 10 Oct 2020, 04:45 1 This post received KUDOS The question asks for store’s profit per shirt We have Cost Price of 100 shirts = x, so Cost Price of 1 shirt = x/100 Now, Sell Price of 100 shirts =$50, so Sell Price of 1 shirt = 50/100

Profit (in dollars)= S.P. - C.P. = 50/100 - x/100 => 0.5 - x/100.