May 26 10:00 PM PDT  11:00 PM PDT Take 20% off the plan of your choice, now through midnight on May 26th Promo code MAGOOSH20SALE May 27 10:30 AM EDT  11:30 AM EDT Learn about the pros and cons of the two primary business school admissions exams from an applicant perspective. May 27 08:00 PM PDT  09:00 PM PDT Interact for GRE is an adaptive, interactive learning experience made by top 1% GRE pros. Available anytime, anywhere. Jun 01 08:00 PM PDT  09:00 PM PDT With Kaplan take a free practice test, attend a sample class with one of our highestrated teachers, or challenge yourself with a GRE bootcamp. Jun 02 10:00 PM PDT  11:00 PM PDT Target Test Prep GRE A REVOLUTIONARY ONDEMAND GRE PREP COURSE
Author 
Message 
TAGS:


Founder
Joined: 18 Apr 2015
Posts: 11096
Followers: 237
Kudos [?]:
2769
[0], given: 10521

Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink]
29 Apr 2019, 02:25
Question Stats:
55% (01:20) correct
44% (01:54) wrong based on 56 sessions
Williams has x eggs. He sells y of them at a profit of 10 percent and the remaining eggs at a loss of 10 percent. He made a profit overall.
Quantity A 
Quantity B 
xy 
y 
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
_________________
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.




Intern
Joined: 14 May 2019
Posts: 9
Followers: 0
Kudos [?]:
9
[0], given: 0

Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink]
16 May 2019, 04:54
Hi,
The answer is (D).
First, mentally, assume the cost price of 1 egg to be 'k'. Williams first sells 'y' eggs at 10% profit, which means yk*1.1. Second, he sells the remaining eggs at a loss of 10%, which means k(xy)*0.9.
Now, it is mentioned that he made a profit, and this is where you need to catch that without the values of 'x' and 'y', it is impossible to determine the greater value between '(xy)' and 'y'.
For instance, if (xy)=y, then it is still a profit of 20%, as mentioned in the question. However, if (xy)<y, even then, there is a profit.
Take an assumption to understand this.
x=10 y=6 Cost Price per egg = $100
Therefore, the Selling Price for 6 eggs is 100*1.1*6 = 660.
xy=4, therefore selling price for 4 eggs is 100*0.9*4 = 360. Therefore, the overall profit is 660+360200=820.
But if xy=y, then Selling Price 1 for 5 eggs is 100*1.1*5=550, and Selling Price 2 is 100*0.9*5=450. Therefore, overall profit is 1000200=800.
Therefore, in both cases, we find that Williams makes an overall profit. The moment there are two equally plausible cases, the answer becomes unverifiable, and is therefore (D).



Manager
Joined: 22 May 2019
Posts: 58
Followers: 0
Kudos [?]:
25
[1]
, given: 194

Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink]
30 Jul 2019, 07:18
1
This post received KUDOS
Answer is B. if x and y were same then there would be no profit or loss. But here is get profit so Y>x. Quantity A something negative. Answer is B



Intern
Joined: 29 Jul 2019
Posts: 1
Followers: 0
Kudos [?]:
1
[1]
, given: 0

Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink]
30 Jul 2019, 17:05
1
This post received KUDOS
Answer is B.
X = # of eggs Y = # of eggs sold X  Y = # of eggs NOT sold
Since he made a profit: Y > X  Y, therefore B must be greater than A



Intern
Joined: 20 Apr 2019
Posts: 1
Followers: 0
Kudos [?]:
1
[1]
, given: 2

Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink]
31 Jul 2019, 07:23
1
This post received KUDOS
grewhiz wrote: Hi,
The answer is (D).
First, mentally, assume the cost price of 1 egg to be 'k'. Williams first sells 'y' eggs at 10% profit, which means yk*1.1. Second, he sells the remaining eggs at a loss of 10%, which means k(xy)*0.9.
Now, it is mentioned that he made a profit, and this is where you need to catch that without the values of 'x' and 'y', it is impossible to determine the greater value between '(xy)' and 'y'.
For instance, if (xy)=y, then it is still a profit of 20%, as mentioned in the question. However, if (xy)<y, even then, there is a profit.
Take an assumption to understand this.
x=10 y=6 Cost Price per egg = $100
Therefore, the Selling Price for 6 eggs is 100*1.1*6 = 660.
xy=4, therefore selling price for 4 eggs is 100*0.9*4 = 360. Therefore, the overall profit is 660+360200=820.
But if xy=y, then Selling Price 1 for 5 eggs is 100*1.1*5=550, and Selling Price 2 is 100*0.9*5=450. Therefore, overall profit is 1000200=800.
Therefore, in both cases, we find that Williams makes an overall profit. The moment there are two equally plausible cases, the answer becomes unverifiable, and is therefore (D). Please review the calculations, Answer is (B)



Intern
Joined: 29 Aug 2018
Posts: 9
Location: India
GMAT 1: 720 Q50 V38
WE: Sales (Computer Software)
Followers: 0
Kudos [?]:
13
[0], given: 1

Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink]
01 Aug 2019, 13:56
As he is always making profit y will be more than 50% of x so the answer will be always b



Intern
Joined: 25 Jun 2019
Posts: 2
Location: United States
GPA: 3.4
WE: Advertising (Advertising and PR)
Followers: 0
Kudos [?]:
6
[0], given: 0

Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink]
02 Aug 2019, 11:05
Y eggs value = p(y) x 1.1 Rest Eggs value = P(xy) x 0.9
p(y) x 1.1 + P(xy) x 0.9 > p(x)
above equation defined due to profit mentioned
leads to 0.2y > x0.9x 0.2y > 0.1x 2y > x y > x/2
using this condition answer will be "B"




Re: Williams has x eggs. He sells y of them at a profit of 10 pe
[#permalink]
02 Aug 2019, 11:05





