Last visit was: 18 Nov 2025, 16:51 It is currently 18 Nov 2025, 16:51
Close
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
Your Progress

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.
Close
Request Expert Reply
Confirm Cancel
User avatar
shadabkhaniet
Joined: 13 Feb 2012
Last visit: 29 Jul 2012
Posts: 44
Own Kudos:
205
 [130]
Given Kudos: 38
Status:I will be back!
Location: India
Posts: 44
Kudos: 205
 [130]
12
Kudos
Add Kudos
118
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 18 Nov 2025
Posts: 105,355
Own Kudos:
Given Kudos: 99,964
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,355
Kudos: 778,072
 [50]
26
Kudos
Add Kudos
24
Bookmarks
Bookmark this Post
User avatar
EvaJager
Joined: 22 Mar 2011
Last visit: 31 Aug 2016
Posts: 514
Own Kudos:
2,325
 [12]
Given Kudos: 43
WE:Science (Education)
Posts: 514
Kudos: 2,325
 [12]
6
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
General Discussion
User avatar
KarishmaB
Joined: 16 Oct 2010
Last visit: 18 Nov 2025
Posts: 16,265
Own Kudos:
76,982
 [11]
Given Kudos: 482
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,265
Kudos: 76,982
 [11]
7
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
shadabkhaniet
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

Say there are 100 items in the store. Some of them are sale items (those that should be marked for sale) and the rest are regular items (should have regular prices)

20% of regular items are marked for sale. 45% of sale items are marked for sale (since 55% of sale items have regular prices). Total 30% of the items are marked for sale. So 30 items are marked for sale.
Does it remind you of something? Weighted Average!

regular items/sale items = w1/w2 = (45 - 30)/(30 - 20) = 3/2

Total 60% (=3/5) of the items are regular items. 20% of them are marked for sale so number of regular items marked for sale = 20% of 60 = 12
Out of the 30 items marked for sale, 12 are actually regular items which is 12/30 *100 = 40%
avatar
shreya717
Joined: 01 Aug 2011
Last visit: 24 Sep 2012
Posts: 11
Own Kudos:
16
 [1]
Given Kudos: 15
Posts: 11
Kudos: 16
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Thanks Bunnel. That was very helpful.

I arrived at C as well, however I used plugging in. (I happened to plug in 100 as total and 40 as number of items that should be on sale, hence arrived at C as well!)
User avatar
kuttingchai
Joined: 28 Jul 2011
Last visit: 17 Oct 2016
Posts: 126
Own Kudos:
449
 [3]
Given Kudos: 16
Posts: 126
Kudos: 449
 [3]
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Book marking for future reference : Vote for C

Total items : 100
Marked for Sale: 30%(100) = 30

Total Retail P items = x
Total Sales P items = (100-x)

20% of the items that are supposed to be marked with their regular prices are now marked for sale
20%(x) - marked for sale by mistake

55% of the items that are supposed to be marked for sale are marked with regular prices.
therefore, 45% of items marked correctly with sales price

So total we have

20%(x) + 45% (100-x) = 30

(20x + 4500 - 45x) / 100 = 30

4500 - 3000 = 25x

x = 60 (total items for retail price)

therefore total items for sales are = 40

20%(x) = 20%(60) = 12 items tagged wrongly for sale

therefore,

12 = z% (30)
z = 40%
User avatar
farukqmul
Joined: 15 Apr 2012
Last visit: 09 May 2018
Posts: 76
Own Kudos:
Given Kudos: 134
Location: Bangladesh
Concentration: Technology, Entrepreneurship
GMAT 1: 460 Q38 V17
GPA: 3.56
GMAT 1: 460 Q38 V17
Posts: 76
Kudos: 295
Kudos
Add Kudos
Bookmarks
Bookmark this Post
VeritasPrepKarishma
shadabkhaniet
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

Say there are 100 items in the store. Some of them are sale items (those that should be marked for sale) and the rest are regular items (should have regular prices)

20% of regular items are marked for sale. 45% of sale items are marked for sale (since 55% of sale items have regular prices). Total 30% of the items are marked for sale. So 30 items are marked for sale.
Does it remind you of something? Weighted Average!

regular items/sale items = w1/w2 = (45 - 30)/(30 - 20) = 3/2

Total 60% (=3/5) of the items are regular items. 20% of them are marked for sale so number of regular items marked for sale = 20% of 60 = 12
Out of the 30 items marked for sale, 12 are actually regular items which is 12/30 *100 = 40%

Hi,
Can you explain more about the weighted average ?Thanks
User avatar
KarishmaB
Joined: 16 Oct 2010
Last visit: 18 Nov 2025
Posts: 16,265
Own Kudos:
Given Kudos: 482
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,265
Kudos: 76,982
Kudos
Add Kudos
Bookmarks
Bookmark this Post
farukqmul

Hi,
Can you explain more about the weighted average ?Thanks

Check out posts on this concept on the blog link given in my signature below.
avatar
Dienekes
Joined: 13 Feb 2011
Last visit: 18 Jan 2020
Posts: 63
Own Kudos:
Given Kudos: 3,386
GMAT 1: 730 Q49 V41
Posts: 63
Kudos: 189
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Can this problem be solved using the double-set matrix technique?
avatar
jorgearredondoc
Joined: 18 Jun 2014
Last visit: 25 Mar 2015
Posts: 3
Own Kudos:
32
 [7]
Given Kudos: 28
Posts: 3
Kudos: 32
 [7]
7
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Dienekes
Can this problem be solved using the double-set matrix technique?


I think this could be better understood if using this 2x2 Matrix attached.
Attachments

Screen Shot 2014-07-21 at 8.01.12 PM.png
Screen Shot 2014-07-21 at 8.01.12 PM.png [ 13.68 KiB | Viewed 21177 times ]

avatar
PareshGmat
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
Posts: 1,534
Own Kudos:
8,099
 [7]
Given Kudos: 193
Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,534
Kudos: 8,099
 [7]
4
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
Regular ................... Sale .................... Total

100-x ............................. x .................... 100 (Assume)

20% of regular is marked sale \(= \frac{20(100-x)}{100}\)

55% of sale is marked regular, which also means 45% of sale is "actually" for sale \(= \frac{45x}{100}\)

Total sale = 30

\(\frac{20(100-x)}{100} + \frac{45x}{100} = 30\)

x = 40

Answer = C
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 18 Nov 2025
Posts: 6,835
Own Kudos:
16,349
 [3]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,835
Kudos: 16,349
 [3]
2
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
shadabkhaniet
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%


Answer: Option C

Check solution as attached
Attachments

File comment: www.GMATinsight.com
7.jpg
7.jpg [ 115.69 KiB | Viewed 13396 times ]

User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,977
Own Kudos:
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,977
Kudos: 8,387
Kudos
Add Kudos
Bookmarks
Bookmark this Post
shadabkhaniet
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

Since this a percent problem, we can assign a “good” number as the total number of items in the store. So, let’s say the total number of items in the store is 100. Since the sales clerk has marked 30% of the store items for sale, she has marked 30 items as sale items, and therefore 70 items are regular-price items.

We assume the total number of items is 100, and let’s assume that x items were supposed to be marked as sales items. Thus, 100 - x items were supposed to be marked as regular-price items.

Looking back at the given information, we know that 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. Thus:

0.2(100 - x) = number of items that are marked as sale items but should be marked as regular-priced items, and thus:

0.8(100 - x) = number of items that are marked (correctly) as regular-price items.

0.55x = number of items that are marked as regular-price items but should be marked as sale items, and thus:

0.45x = number of items that are marked (correctly) as sale items.

Recall that 30 items are marked as sale items and 70 items as regular-price items. Therefore, we have:

0.45x + 0.2(100 - x) = 30

and

0.55x + 0.8(100 - x) = 70

Let’s solve the first equation:

0.45x + 0.2(100 - x) = 30

45x + 20(100 - x) = 3000

45x + 2000 - 20x = 3000

25x = 1000

x = 40

[Note: If we solve the second equation instead of the first, we will also get x = 40.]

The problem asks: “What percent of the items that are marked for sale are supposed to be marked with regular prices?”

Since we have that 0.2(100 - x) is the number of items marked as sale items when they should be marked as regular-price items, and we have that x = 40, there are:

0.2(100 - 40) = .2(60) = 12 such items.

We also have that a total of 30 items are marked for sale, so the percentage of the marked sale items that are supposed to be marked with regular prices is 12/30 = 4/10 = 0.4 = 40%.

Answer: C
User avatar
sinhap07
Joined: 27 Aug 2014
Last visit: 09 Oct 2018
Posts: 48
Own Kudos:
Given Kudos: 3
Posts: 48
Kudos: 30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This is very vague Karishma. Can you draw the weighted average diagram to make it clearer?


VeritasPrepKarishma
shadabkhaniet
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

Say there are 100 items in the store. Some of them are sale items (those that should be marked for sale) and the rest are regular items (should have regular prices)

20% of regular items are marked for sale. 45% of sale items are marked for sale (since 55% of sale items have regular prices). Total 30% of the items are marked for sale. So 30 items are marked for sale.
Does it remind you of something? Weighted Average!

regular items/sale items = w1/w2 = (45 - 30)/(30 - 20) = 3/2

Total 60% (=3/5) of the items are regular items. 20% of them are marked for sale so number of regular items marked for sale = 20% of 60 = 12
Out of the 30 items marked for sale, 12 are actually regular items which is 12/30 *100 = 40%
User avatar
KarishmaB
Joined: 16 Oct 2010
Last visit: 18 Nov 2025
Posts: 16,265
Own Kudos:
Given Kudos: 482
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,265
Kudos: 76,982
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sinhap07
This is very vague Karishma. Can you draw the weighted average diagram to make it clearer?


VeritasPrepKarishma
shadabkhaniet
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

Say there are 100 items in the store. Some of them are sale items (those that should be marked for sale) and the rest are regular items (should have regular prices)

20% of regular items are marked for sale. 45% of sale items are marked for sale (since 55% of sale items have regular prices). Total 30% of the items are marked for sale. So 30 items are marked for sale.
Does it remind you of something? Weighted Average!

regular items/sale items = w1/w2 = (45 - 30)/(30 - 20) = 3/2

Total 60% (=3/5) of the items are regular items. 20% of them are marked for sale so number of regular items marked for sale = 20% of 60 = 12
Out of the 30 items marked for sale, 12 are actually regular items which is 12/30 *100 = 40%

We have used the weighted average formula here which is much faster than drawing the diagram.

Here is a discussion on both:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/0 ... -averages/
User avatar
archana89
Joined: 18 Jun 2018
Last visit: 12 Sep 2018
Posts: 8
Own Kudos:
Given Kudos: 62
Location: India
Concentration: Technology, Marketing
GPA: 3.98
Posts: 8
Kudos: 4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
shadabkhaniet
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

The Picking Numbers strategy would be ideal for this problem, since there are percentages without given values. Let's use 100 as the total number of items in the store. This means that 30 of the items are marked for sale and 70 are marked at regular price. We are also told that 20% of the regular-priced items are marked for sale, and 55% of the sale items are marked at regular price. This means that 45% of the sale items are marked for sale. We can set up an equation with x as the number of regular-priced items and y as the number of sale items: 0.2x + 0.45y = 30.

Since 20% of the regular-priced items are marked incorrectly and 45% of the sale items are marked correctly, 80% of the regular-priced items are marked at regular price and 55% of the sale items are marked at regular price. This information gives us the next equation: 0.8x + 0.55y = 70.

Combining these 2 equations, we have a system of equations that we can solve. Multiply both sides of the equation 0.2x + 0.45y = 30 by –4 so that we can subtract it from 0.8x + 0.55y = 70 and isolate the y variable.



Now we know that the number of sale items is 40, so the number of regular-priced items must be 100 – 40 = 60. We can now calculate the number of regular-priced items marked for sale: Since 20% of 60 is 12 and the total number of items marked for sale is 30, the percent would be .

So, 40% of the items marked for sale are supposed to be marked at regular price.

Answer Choice (C) is correct.

Confirm Your Answer:

Plug the numbers we figured back into the problem. Out of the 30 items marked for sale, 12 are marked incorrectly, so 30 – 12 = 18 of the sale items are actually on sale. Eighteen is indeed 45% of 40, so the correct number of sale items is 40. Our answer is confirmed.
avatar
viphaneev
Joined: 26 Jul 2020
Last visit: 07 Dec 2023
Posts: 14
Own Kudos:
Given Kudos: 97
Location: Thailand
Posts: 14
Kudos: 4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
EvaJager
Here is a pure algebraic approach:

If in the store there are \(R\) items that should sell at regular price, and \(S\) items that should sell at reduced price,
then the total number of items is \(R + S\).
\(30%\) of them, or \(0.3(R + S)\) items are now marked for sale and this is comprised of \(0.2R\) and \(0.45S\),
as wrongly \(20%\) of the regular items, and only \(45%\) of the sale items were marked for sale (\(55%\) of the sale items were marked regular).
So, \(0.3(R + S) = 0.2R + 0.45S\), from which we can deduce that \(0.1R = 0.15S\), or \(2R = 3S.\)

We have to evaluate the ratio \(\frac{0.2R}{0.3(R+S)}\) - out of those marked for sale, what fraction/percentage should be marked regular.

\(\frac{0.2R}{0.3(R+S)}=\frac{2R}{3R+3S}=\frac{2R}{3R+2R}=\frac{2R}{5R}=\frac{2}{5}=40%\).

Hence, answer C.

One of the things that I have been struggling with is that how do you know that you need two variables R and S instead of assuming just one, say N = total number of items.
I understand that with two variables, in this case, it is simpler to solve the problem.
But my struggle is how do you come up with that intuitively in the first place ?
I have been having this problem where I don't know what variables should I assume.

In addition, EvaJager, if you are out there and see this message, I see your tag as an applied mathematician.
How did you find a way to make mathematics come intuitive for you? In GMAT and non-GMAT.
Plus, did you come up with the two variables in this question intuitively or by trial and error?

Thanks in advance.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,588
Own Kudos:
Posts: 38,588
Kudos: 1,079
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Math Expert
105355 posts
Tuck School Moderator
805 posts