Last visit was: 04 Nov 2024, 22:58 It is currently 04 Nov 2024, 22:58
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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
Your Progress

every week, we’ll send you an estimated GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Williams has x eggs. He sells y of them at a profit of 10 pe

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 29887
Own Kudos [?]: 36115 [9]
Given Kudos: 25918
Send PM
Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   29 Apr 2019, 02:25
1
Expert Reply
8
Bookmarks
00:00

Question Stats:

62% (01:20) correct 37% (01:58) wrong based on 185 sessions

Hide Show timer Statistics

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
x-y
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.
ShowHide Answer
Official Answer
B
avatar
grewhiz
Intern
Intern
Joined: 14 May 2019
Posts: 9
Own Kudos [?]: 12 [3]
Given Kudos: 0
Send PM
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   16 May 2019, 04:54
2
1
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(x-y)*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 '(x-y)' and 'y'.

For instance, if (x-y)=y, then it is still a profit of 20%, as mentioned in the question. However, if (x-y)<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.

x-y=4, therefore selling price for 4 eggs is 100*0.9*4 = 360. Therefore, the overall profit is 660+360-200=820.

But if x-y=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 1000-200=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).
avatar
AlaminMolla
Manager
Manager
Joined: 22 May 2019
Posts: 58
Own Kudos [?]: 51 [0]
Given Kudos: 0
Send PM
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   30 Jul 2019, 07:18
1
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
avatar
monkeyman23
Intern
Intern
Joined: 29 Jul 2019
Posts: 1
Own Kudos [?]: 2 [0]
Given Kudos: 0
Send PM
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   30 Jul 2019, 17:05
2
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
avatar
fhadzafar
Intern
Intern
Joined: 20 Apr 2019
Posts: 1
Own Kudos [?]: 3 [3]
Given Kudos: 0
Send PM
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   31 Jul 2019, 07:23
1
1
1
Bookmarks
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(x-y)*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 '(x-y)' and 'y'.

For instance, if (x-y)=y, then it is still a profit of 20%, as mentioned in the question. However, if (x-y)<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.

x-y=4, therefore selling price for 4 eggs is 100*0.9*4 = 360. Therefore, the overall profit is 660+360-200=820.

But if x-y=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 1000-200=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)
User avatar
abhinavk48
Intern
Intern
Joined: 29 Aug 2018
Posts: 9
Own Kudos [?]: 14 [0]
Given Kudos: 0
Location: India
GMAT 1: 720 Q50 V38
WE:Sales (Computer Software)
Send PM
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   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
avatar
Target20
Intern
Intern
Joined: 25 Jun 2019
Posts: 2
Own Kudos [?]: 7 [1]
Given Kudos: 0
Location: United States
GPA: 3.4
WE:Advertising (Advertising and PR)
Send PM
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   02 Aug 2019, 11:05
1
Y eggs value = p(y) x 1.1
Rest Eggs value = P(x-y) x 0.9

p(y) x 1.1 + P(x-y) x 0.9 > p(x)

above equation defined due to profit mentioned

leads to 0.2y > x-0.9x
0.2y > 0.1x
2y > x
y > x/2

using this condition answer will be "B"
avatar
Roro22
Intern
Intern
Joined: 04 Aug 2020
Posts: 3
Own Kudos [?]: 3 [2]
Given Kudos: 0
Send PM
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   05 Aug 2020, 15:23
2
Carcass wrote:
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
x-y
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.



Hi the Answer is D

By using Fill in, here are the situations:

1) X = 100
- 50 * 1.1 = 55 (y)
- 50 * 0.9 - 45
profit = 10

A: 100 - 50 = 50
B: 50

2) X = 100
- 47 * 1.1 = 51.7
- 53 * 0.9 = 47.7
profit = 4

A: 100 - 47 = 53
B: 47

3) X = 100
- 53 * 1.1 = 58.3
- 47 * 0.9 = 42.3
profit = 16

A: 47
B: 53
avatar
BM137
Intern
Intern
Joined: 02 Jul 2021
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   Updated on: 02 Jul 2021, 08:29
Roro22 wrote:
Carcass wrote:
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
x-y
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.



Hi the Answer is D

By using Fill in, here are the situations:

1) X = 100
- 50 * 1.1 = 55 (y)
- 50 * 0.9 - 45
profit = 10

A: 100 - 50 = 50
B: 50

2) X = 100
- 47 * 1.1 = 51.7
- 53 * 0.9 = 47.7
profit = 4

A: 100 - 47 = 53
B: 47

3) X = 100
- 53 * 1.1 = 58.3
- 47 * 0.9 = 42.3
profit = 16

A: 47
B: 53


I'm afraid your answer does not take into account the cost price of each egg.

For instance, consider the first situation in your solution.
x=100, y=50, x-y=50.
Let c be the cost price per egg.
Then, C.P. = 100c
S.P. = (1.1)(50c) + (0.9)(50c) = 55c + 45c = 100c
So, Profit = S.P. - C.P. =100c -100c = 0, which is a contradiction to the assumption that he makes a profit overall.
So, x=100, y=50 does not work in this case.


Now, let's consider the second situation.
x=100, y=47, x-y=53.
Let c be the cost price per egg.
Then, C.P. = 100c
S.P. = (1.1)(47c) + (0.9)(53c) = (51.7)c + (47.7)c = (99.4)c
So, Profit = S.P. - C.P. =(99.4)c -100c = -(0.6)c, which again leads to a contradiction since profit is negative in this case (which, in turn, implies that he made a loss over all).
So, x=100, y=47 does not work as well.

Originally posted by BM137 on 02 Jul 2021, 07:51.
Last edited by BM137 on 02 Jul 2021, 08:29, edited 1 time in total.
avatar
BM137
Intern
Intern
Joined: 02 Jul 2021
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   02 Jul 2021, 08:06
Let c be the cost price per egg. Then, total C.P. = cx.
From the question, it is easy to see that the selling price of y eggs = (1.1c)y = (1.1)cy.
Similarly, selling price of the remaining (x-y) eggs = (0.9c)(x-y) = (0.9)xc - (0.9)cy.
So, total S.P. = (1.1)cy + [(0.9)xc - (0.9)cy] = (0.2)cy + (0.9)cx.
Hence, profit = total S.P. - total C.P. = [(0.2)cy + (0.9)cx] - cx = (0.2)cy - (0.1)cx.
Since Williams made a profit over all, profit > 0 ---> (0.2)cy - (0.1)cx > 0 ---> (0.2)cy > (0.1)cx ---> 2y > x ---> y > x-y.
So, Quantity B is greater and therefore the answer is B.
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3208 [3]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   02 Jul 2021, 10:24
3
Carcass wrote:
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
x-y
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.


Col. A: x - y
Col. B: y

Adding y to both sides,

Col. A: x
Col. B: 2y

Now let us make cases;

For example:
Let the original price of each egg be 10
Therefore, at 10% profit; the price would be 11 and,
at 10% loss; the price would be 9

Case I: x = 2y - Not possible
Let x = 100, y = 50
remaining = 50

Cost Price = 100(10) = 1000
Sale Price = 50(11) + 50(9) = 550 + 450 = 1000
Overall profit = 0

Case II: x > 2y - Not Possible
Let x = 100, y = 49
remaining = 51

Cost Price = 100(10) = 1000
Sale Price = 49(11) + 51(9) = 539 + 459 = 998
Overall Loss = 2

Case III: x < 2y - Only Possible case
Let x = 100, y = 51
remaining = 49

Cost Price = 100(10) = 1000
Sale Price = 51(11) + 49(9) = 561 + 441 = 1002
Overall profit = 2

Since, x can only be less than 2y

Hence, option B
avatar
S
defender007
Manager
Manager
Joined: 03 Jul 2024
Posts: 77
Own Kudos [?]: 31 [1]
Given Kudos: 129
Send PM
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink] New post   15 Jul 2024, 03:40
1
Hi Answer is D.

We know only the percent changes here not the quantities of eggs as it is.

Loss or profit doesn't provide a logical explanation with the number of eggs at the first place.
Prep Club for GRE Bot
gmatclubot
Re: Williams has x eggs. He sells y of them at a profit of 10 pe [#permalink]
15 Jul 2024, 03:40
Moderators:
adewale223
GRE Instructor
77 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
228 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact