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If p - p/q = 4 what is p in terms of q?
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16 Apr 2020, 09:02
16 Apr 2020, 09:02
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If \(p - \frac{p}{q} = 4\) what is p in terms of q?
A. \(p = \frac{4q}{(q-1)}\)
B. \(p = \frac{4q}{(q+1)}\)
C. \(p = 4q(q-2)\)
D. \(p = \frac{4(q+1)}{q}\)
E. \(p = \frac{4(q-1)}{q}\)
A. \(p = \frac{4q}{(q-1)}\)
B. \(p = \frac{4q}{(q+1)}\)
C. \(p = 4q(q-2)\)
D. \(p = \frac{4(q+1)}{q}\)
E. \(p = \frac{4(q-1)}{q}\)
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Re: If p - p/q = 4 what is p in terms of q?
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16 Apr 2020, 09:58
16 Apr 2020, 09:58
1
Carcass wrote:
If \(p - \frac{p}{q} = 4\) what is p in terms of q?
A. \(p = \frac{4q}{(q-1)}\)
B. \(p = \frac{4q}{(q+1)}\)
C. \(p = 4q(q-2)\)
D. \(p = \frac{4(q+1)}{q}\)
E. \(p = \frac{4(q-1)}{q}\)
A. \(p = \frac{4q}{(q-1)}\)
B. \(p = \frac{4q}{(q+1)}\)
C. \(p = 4q(q-2)\)
D. \(p = \frac{4(q+1)}{q}\)
E. \(p = \frac{4(q-1)}{q}\)
Take: \(p - \frac{p}{q} = 4\)
Multiply both sides by \(q\) to get: \(pq - p = 4q\)
Factor out \(p\) on the left side to get: \(p(q - 1) = 4q\)
Divide both sides by \((q - 1)\) to get: \(p = \frac{4q}{q - 1} \)
Answer: A
Cheers,
Brent
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Status:GRE Quant Tutor
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Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
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WE:Engineering (Computer Software)
Re: If p - p/q = 4 what is p in terms of q?
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03 Sep 2022, 03:05
03 Sep 2022, 03:05
Given that \(p - \frac{p}{q} = 4\) and we need to find the value of p in terms of q
\(p - \frac{p}{q} = 4\)
=> p * (1 - \(\frac{1}{q)}\) = 4
=> p * \(\frac{q - 1}{q}\) = 4
=> p = \(\frac{4q}{(q-1)}\)
So, Answer will be A
Hope it helps!
\(p - \frac{p}{q} = 4\)
=> p * (1 - \(\frac{1}{q)}\) = 4
=> p * \(\frac{q - 1}{q}\) = 4
=> p = \(\frac{4q}{(q-1)}\)
So, Answer will be A
Hope it helps!
