It is currently 30 Nov 2020, 22:02

### 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

# John buys a shirt at 80% of its tagged price

Author Message
TAGS:
Intern
Joined: 18 May 2020
Posts: 26
Location: United States
Followers: 0

Kudos [?]: 24 [0], given: 13

John buys a shirt at 80% of its tagged price [#permalink]  20 May 2020, 00:24
00:00

Question Stats:

44% (00:49) correct 55% (01:00) wrong based on 34 sessions
John buys a shirt at 80% of its tagged price and another shirt at 70% of its tagged price.

 Quantity A Quantity B The total percent discount offered to John on the purchase of the two shirts 75%

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.
[Reveal] Spoiler: OA

Last edited by Carcass on 12 Aug 2020, 03:53, edited 2 times in total.
Updated
Founder
Joined: 18 Apr 2015
Posts: 13927
GRE 1: Q160 V160
Followers: 315

Kudos [?]: 3687 [2] , given: 12945

Re: Percentages [#permalink]  20 May 2020, 04:47
2
KUDOS
Expert's post
Intern
Joined: 23 Feb 2020
Posts: 14
Followers: 0

Kudos [?]: 2 [0], given: 198

Re: Percentages [#permalink]  12 Aug 2020, 03:16
hi ,
though the answer in any case is B, kindly explain as i think overall discount on the total purchase is 25 % instead of 50% as mentioned above.
according to me ,he pays 80 + 70 = 150 instead of 200 . (assuming the original prices as 100 each)
shouldn't the discount be then
200-150/200 *100 ?
Founder
Joined: 18 Apr 2015
Posts: 13927
GRE 1: Q160 V160
Followers: 315

Kudos [?]: 3687 [0], given: 12945

Re: Percentages [#permalink]  12 Aug 2020, 03:53
Expert's post
GRE Instructor
Joined: 10 Apr 2015
Posts: 3914
Followers: 164

Kudos [?]: 4781 [2] , given: 70

Re: Percentages [#permalink]  12 Aug 2020, 06:22
2
KUDOS
Expert's post
Carcass wrote:
Please follow the simple rules to format the question properly https://greprepclub.com/forum/how-to-po ... 12752.html

Suppose the tag price was 100 the first shirt he purchased was priced 80 with a discount of 20%

The second was 100 and he bought for 70 so the discount was 30%

B is greater

That's not quite right.
Paying \$80 for a \$100 shirt means a discount of \$20
Paying \$70 for a \$100 shirt means a discount of \$30
Total discount = \$50

Total amount we would have paid WITHOUT the discount = \$200
So, the total discount of \$50, represents a discount of 25% (since \$50/\$200 = 25%)
_________________

Brent Hanneson – Creator of greenlighttestprep.com

GRE Instructor
Joined: 10 Apr 2015
Posts: 3914
Followers: 164

Kudos [?]: 4781 [2] , given: 70

Re: John buys a shirt at 80% of its tagged price [#permalink]  12 Aug 2020, 06:33
2
KUDOS
Expert's post
dobby wrote:
John buys a shirt at 80% of its tagged price and another shirt at 70% of its tagged price.

 Quantity A Quantity B The total percent discount offered to John on the purchase of the two shirts 75%

Buying a shirt at 80% of the tagged price represents a 20% discount.
Buying a shirt at 70% of the tagged price represents a 30% discount.

The total percent discount for both shirts (Quantity A) depends on the tagged prices of the 2 shirts.

Let's look at 2 EXTREME cases:

case i: The first shirt (with the 20% discount) has a tagged price of \$100, and the second shirt (with a 30% discount) has a tagged price of \$1.
On the first shirt, we get a \$20.00 discount.
On the second shirt, we get a \$0.30 discount.
TOTAL discount = \$20.30
TOTAL tag price = \$101
TOTAL percent discount = \$20.30/\$101 ≈ 20.099%

case ii: The first shirt (with the 20% discount) has a tagged price of \$1, and the second shirt (with a 30% discount) has a tagged price of \$100.
On the first shirt, we get a \$0.20 discount.
On the second shirt, we get a \$30.00 discount.
TOTAL discount = \$30.20
TOTAL tag price = \$101
TOTAL percent discount = \$30.20/\$101 ≈ 29.90%

As we can see, if the first shirt (with the 20% discount) cost significantly more then the second shirt (with the 30% discount), then the total percent discount will be closer to 20%.
Conversely, if the second shirt (with the 30% discount) cost significantly more then the first shirt (with the 20% discount), then the total percent discount will be closer to 30%.

As we can see, the total percent discount will always be between 20% and 30%

In other words:
QUANTITY A: Some value between 20% and 30%
QUANTITY B: 75%

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: John buys a shirt at 80% of its tagged price   [#permalink] 12 Aug 2020, 06:33
Display posts from previous: Sort by