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John buys a shirt at 80% of its tagged price

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John buys a shirt at 80% of its tagged price [#permalink] New post 20 May 2020, 00:24
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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.
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Re: Percentages [#permalink] New post 20 May 2020, 04:47
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Re: Percentages [#permalink] New post 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 ?
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Re: Percentages [#permalink] New post 12 Aug 2020, 03:53
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Re: Percentages [#permalink] New post 12 Aug 2020, 06:22
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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%

Combined both he had 50%off

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%)
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Re: John buys a shirt at 80% of its tagged price [#permalink] New post 12 Aug 2020, 06:33
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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%

Answer: B

Cheers,
Brent
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Re: John buys a shirt at 80% of its tagged price   [#permalink] 12 Aug 2020, 06:33
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