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 =
$20.30TOTAL tag price =
$101TOTAL 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 =
$30.20TOTAL tag price =
$101TOTAL 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
_________________
Brent Hanneson – Creator of greenlighttestprep.com
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