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17% of p is equal to 18% of q, where p and q are positive.
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17 Jul 2019, 02:17
17 Jul 2019, 02:17
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Question Stats:
90% (00:30) correct
9% (00:57) wrong based on 91 sessions
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17% of p is equal to 18% of q, where p and q are positive.
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.
Quantity A |
Quantity B |
p |
q |
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.
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Re: 17% of p is equal to 18% of q, where p and q are positive.
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17 Jul 2019, 05:24
17 Jul 2019, 05:24
Carcass wrote:
17% of p is equal to 18% of q, where p and q are positive.
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.
Quantity A |
Quantity B |
p |
q |
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.
Here's a slightly outside-the-box approach...
GIVEN: 17% of p is equal to 18% of q
We can write: 17/100 of p = 18/100 of q
In other words: 0.17p = 0.18q
Multiply both sides by 100 to get: 17p = 18q
Given:
Quantity A: p
Quantity B: q
Multiply both quantities by 17 to get:
Quantity A: 17p
Quantity B: 17q
Now replace 17p with 18q to get:
Quantity A: 18q
Quantity B: 17q
You may already see that the correct answer is A. However, we can be 100% certain if we subtract 17q from both quantities to get:
Quantity A: q
Quantity B: 0
Since we're told q is POSITIVE, we can see that Quantity A is greater.
Answer: A
Cheers,
Brent
Re: 17% of p is equal to 18% of q, where p and q are positive.
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02 Jan 2020, 12:29
02 Jan 2020, 12:29
Just using a logical approach. If 17% of something is equal to 18% of something then the first must be a bigger number (p) to EQUAL something that is one percent larger but totaling the same number (q). Therefore, p must be bigger if it takes less p to equal the same number q.
