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

 It is currently 23 Feb 2019, 15:30

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# A merchant discounted the sale price of a coat and the sale price of a

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53066
A merchant discounted the sale price of a coat and the sale price of a  [#permalink]

### Show Tags

16 Oct 2018, 01:19
00:00

Difficulty:

55% (hard)

Question Stats:

45% (01:40) correct 55% (01:50) wrong based on 48 sessions

### HideShow timer Statistics

A merchant discounted the sale price of a coat and the sale price of a sweater. Was the discount in dollars on the coat greater than that on the sweater?

(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater

(2) Before the discounts, the sale price of the coat was \$10 less than the sale price of the sweater

_________________
Director
Joined: 18 Jul 2018
Posts: 680
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: A merchant discounted the sale price of a coat and the sale price of a  [#permalink]

### Show Tags

16 Oct 2018, 08:00
Each statement is individually insufficient, Since sale price is not mentioned in S1 and Discount is not mentioned in S2.

Combining both Gives the answer.

C is the answer.
_________________

Press +1 Kudo If my post helps!

CEO
Joined: 11 Sep 2015
Posts: 3451
Re: A merchant discounted the sale price of a coat and the sale price of a  [#permalink]

### Show Tags

16 Oct 2018, 14:21
Top Contributor
Bunuel wrote:
A merchant discounted the sale price of a coat and the sale price of a sweater. Was the discount in dollars on the coat greater than that on the sweater?

(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater

(2) Before the discounts, the sale price of the coat was \$10 less than the sale price of the sweater

Target question: Was the discount in dollars on the coat greater than that on the sweater?

Statement 1: The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater
No information about the PRICES before the discount.
NOT SUFFICIENT

Statement 2: Before the discounts, the sale price of the coat was \$10 less than the sale price of the sweater
No information about the PERCENT DISCOUNTS.
NOT SUFFICIENT

Statements 1 and 2 combined
Let x = the PRE-DISCOUNT price of a coat
So, x + 10 = the PRE-DISCOUNT price of a sweater

Let p= the percent discount on a sweater
So, p + 2 = the percent discount on a coat

So, the dollar discount on the sweater = (p/100)(x + 10 )
And the dollar discount on the coat = [(p + 2)/100](x)

So, the question becomes: "Is [(p + 2)/100](x) > (p/100)(x + 10 )?"
Multiply both sides by 100 to get: Is (p + 2)(x) > (p)(x + 10)?
Expand both sides to get: Is px + 2x > px + 10p?
Subtract px from both sides to get: Is 2x > 10p?
And for kicks, let's divide both sides by 2 to get: Is x > 5p?
In other words, Is the PRE-DISCOUNT price of a coat greater than 5 times the percent discount on a sweater?

Since we can't answer this question with certainty, the correct answer is E.
If you're not convinced, check out these two possible cases:

Case a: The pre-discount coat price is \$100, and there a 4% discount on the coat. Total discount = 4% of \$100 = \$4.00
The pre-discount sweater price \$110, and there a 2% discount on the coat. Total discount = 2% of \$110 = \$2.20. In this case, the answer to the target question is YES, the coat discount IS greater than the sweater discount

Case b: The pre-discount coat price is \$1, and there a 3% discount on the coat. Total discount = 3% of \$1 = \$0.03
The pre-discount sweater price \$11, and there a 1% discount on the coat. Total discount = 1% of \$11 = \$0.11. In this case, the answer to the target question is NO, the coat discount is NOT greater than the sweater discount

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Cheers,
Brent
_________________

Test confidently with gmatprepnow.com

Re: A merchant discounted the sale price of a coat and the sale price of a   [#permalink] 16 Oct 2018, 14:21
Display posts from previous: Sort by

# A merchant discounted the sale price of a coat and the sale price of a

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.