Carcass wrote:
The price of a designer handbag was reduced from $440 by 20%. The reduced price was then increased by z % to return it to $440.
Quantity A |
Quantity B |
z |
20 |
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.
The price of a designer handbag was reduced from $440 by 20%.20% of $440 = $88
$440 - $88 =
$352So the reduced price is
$352The reduced price was then increased by z% to return it to $440.No need to actually calculate the value of z. Instead, let's see if what happens if we increase
$352 by
20%20% of
$352 =
$70.40$352 +
$70.40 = $422.40
As we can see, increasing
$352 by 20% does NOT get us back to the original price of $440
So, to get us back to the original price of $440, we must increase
$352 by MORE THAN 20%
In other words, z is GREATER THAN 20
Answer: A
Cheers,
Brent