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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A stores sells Brand A items and Brand B items at 75% and 80
[#permalink]
29 Apr 2019, 01:57
29 Apr 2019, 01:57
1
Expert Reply
4
Bookmarks
00:00
Question Stats:
56% (01:02) correct
43% (01:21) wrong based on 174 sessions
Hide Show timer Statistics
A stores sells Brand A items and Brand B items at 75% and 80%, respectively, off list prices. During festival season, discounts of 20% and 25%, on Brand A and Brand B, respectively, are offered. Spinach tins of Brand A and Brand B have the same list price.
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.
Quantity A |
Quantity B |
Cost of spinach tins of Brand A during festival season |
Cost of spinach tins of Brand B during festival season |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A stores sells Brand A items and Brand B items at 75% and 80
[#permalink]
24 Jul 2019, 07:58
24 Jul 2019, 07:58
3
2
Bookmarks
Carcass wrote:
A stores sells Brand A items and Brand B items at 75% and 80%, respectively, off list prices. During festival season, discounts of 20% and 25%, on Brand A and Brand B, respectively, are offered. Spinach tins of Brand A and Brand B have the same list price.
Quantity A |
Quantity B |
Cost of spinach tins of Brand A during festival season |
Cost of spinach tins of Brand B during festival season |
GIVEN: A stores sells Brand A items and Brand B items at 75% and 80%, respectively, off list prices. During festival season, discounts of 20% and 25%, on Brand A and Brand B, respectively, are offered. Spinach tins of Brand A and Brand B have the same list price.
Since spinach tins of Brand A and Brand B have the same LIST price, we can...
Let X = the LIST price of Brand A spinach
Let X = the LIST price of Brand B spinach
KEY CONCEPT: If an item has an x percent DECREASE in price, then the new price is (100 - x) percent of the original price.
For example, if we reduce the price by 20%, then the new price is 80% of the original price.
If we reduce the price by 40%, then the new price is 60% of the original price.
If we reduce the price by 75%, then the new price is 25% of the original price.
After Brand A has a 75% decrease, the resulting price = 25% of X = 0.25X
After that, Brand A has a 20% decrease. So, the FESTIVAL SEASON price = 80% of 0.25X = (0.8)(0.25X) = 0.20X
After Brand B has an 80% decrease, the resulting price = 20% of X = 0.20X
After that, Brand B has a 25% decrease. So, the FESTIVAL SEASON price = 75% of 0.20X = (0.75)(0.20X) = 0.15X
We get:
Quantity A: 0.20X
Quantity B: 0.15X
Since X is POSITIVE, we can divide both quantities by X to get:
Quantity A: 0.20
Quantity B: 0.15
Answer: A
Cheers,
Brent
General Discussion
Re: A stores sells Brand A items and Brand B items at 75% and 80
[#permalink]
02 May 2019, 12:37
02 May 2019, 12:37
Is the OA correct?
