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A stores sells Brand A items and Brand B items at 75% and 80
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29 Apr 2019, 01:57
29 Apr 2019, 01:57
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Question Stats:
59% (01:09) correct
40% (01:25) wrong based on 213 sessions
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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.
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Re: A stores sells Brand A items and Brand B items at 75% and 80
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24 Jul 2019, 07:58
24 Jul 2019, 07:58
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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
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02 May 2019, 12:37
02 May 2019, 12:37
Is the OA correct?
