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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
x% of y versus y% of x% of 100
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14 Jun 2022, 06:05
14 Jun 2022, 06:05
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Question Stats:
99% (00:46) correct
0% (00:00) wrong based on 14 sessions
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x > 0 and y > 0
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
x% of y |
y% of x% of 100 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
x% of y versus y% of x% of 100
[#permalink]
22 Aug 2022, 11:38
22 Aug 2022, 11:38
GreenlightTestPrep wrote:
x > 0 and y > 0
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
x% of y |
y% of x% of 100 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Key concept: k%\( = \frac{k}{100}\)
So, we get:
QUANTITY A: x% of y \(= (\frac{x}{100})(y) = \frac{xy}{100}\)
QUANTITY B: y% of x% of 100 \(= (\frac{y}{100})(\frac{x}{100})(100) = \frac{100xy}{10,000} = \frac{xy}{100}\)
Answer: C
