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# A stores sells Brand A items and Brand B items at 75% and 80

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A stores sells Brand A items and Brand B items at 75% and 80 [#permalink]  29 Apr 2019, 01:57
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Question Stats:

65% (00:48) correct 34% (01:36) wrong based on 26 sessions
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

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

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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink]  02 May 2019, 12:37
Is the OA correct?
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink]  03 May 2019, 01:25
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yes Sir

I double checked out.

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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink]  23 Jul 2019, 07:09
Information given : Spinach tins of Brand A and Brand B have the same list price. Let the list price be X
During festival season:
Quantity A: X - 0.75*0.20*x = X - 0.15x = 0.85X
Quantity B:X - 0.80*0.25*x = X - 0.2X = 0.80X
Quantity A should be greater.

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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink]  23 Jul 2019, 07:27
Expert's post
Spinach tins of Brand A and Brand B have the same list price.

Suppose is 100

After the first off

$$A= 75$$

$$B=80$$

After the second

$$75 \times 0.8 = 60$$

$$80 \times 0.75= 60$$

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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink]  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

Cheers,
Brent
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink]  24 Jul 2019, 08:01
1
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Expert's post
Carcass wrote:
Spinach tins of Brand A and Brand B have the same list price.

Suppose is 100

After the first off

$$A= 75$$

$$B=80$$

After the second

$$75 \times 0.8 = 60$$

$$80 \times 0.75= 60$$

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.

Did you mean to write off list prices or OF list prices?
If it's OF, then your solution is correct.
If it's OFF, then my solution is correct.
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink]  24 Jul 2019, 09:02
I got stuck up with the word 'OFF.
As the question says: Item A sells at 75% OFF list price, I , thus, write 100 ( Say, list price )-75=25 . And again , during festival ,there is a 20% discount . So, .8*25=20

But the math has been done as if the stem say, " Item A sells at 75% the list price, i.e. if the List price =100, then item sells at 75.
Now, my observation is that- is the word OFF correct with the question, or it should be OF ( Instead of OFF)?
Need help.
Sincere regards,
Re: A stores sells Brand A items and Brand B items at 75% and 80   [#permalink] 24 Jul 2019, 09:02
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