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In a certain business, production index p is directly [#permalink]
 07 May 2008, 00:49
Question Stats:
60% (01:59) correct
40% (01:05) wrong based on 15 sessions
In a certain business, production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment i. What is p if i = 70? (1) e = 0.5 whenever i = 60 (2) p = 2.0 whenever i = 50
Last edited by Bunuel on 02 Mar 2012, 14:05, edited 1 time in total.
Edited the question
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Re: OG - proportional index [#permalink]
07 May 2008, 01:31
we need P when i is some value... we know p is dependent on e and e is dependent on i In a certain business, production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment i. What is p if i = 70? 1) e = 0.5 whenever i = 60 -> does not give the value or relation between e and P thus insufficient 2) p = 2.0 whenever i = 50 -> gives the relation between p and i thus we can find p when i=70 thus B
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Re: OG - proportional index [#permalink]
07 May 2008, 07:22
i say B as well, unless im missing something.
From stat 1, you know relationship btwn e and i, but you dont know what it is btwn p and e ... so insuff.
From stat 2, you are given the relationship btwn p and i, and from the stem you know what i is. so suff.
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Re: OG - proportional index [#permalink]
28 Nov 2010, 19:50
Would p be directly proportional to i as well if e is proportional to p? I am thinking it should be, however the constant proportion will be different between p and e and e and i and thus entirely separate between p and i? thanks.
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Re: OG - proportional index [#permalink]
29 Nov 2010, 01:45
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gettinit wrote: Would p be directly proportional to i as well if e is proportional to p? I am thinking it should be, however the constant proportion will be different between p and e and e and i and thus entirely separate between p and i? thanks. a is directly proportional to b means that as the absolute value of b gets bigger, the absolute value of a gets bigger too, so there is some non-zero constant x such that a=xb; So if a is directly proportional to b ( a=xb), then vise-versa is also correct: b is directly proportional to a ( b=\frac{1}{x}*a as the absolute value of a gets bigger, the absolute value of b gets bigger too). a is inversely proportional to b means that as the absolute value of b gets bigger, the absolute value of a gets smaller, so there is some non-zero constant constant y such that a=\frac{y}{b}.So if a is inversely proportional to b ( a=\frac{y}{b}), then vise-versa is also correct: b is inversely proportional to a ( b=\frac{y}{a} as the absolute value of a gets bigger, the absolute value of b gets smaller). As for the question: In a certain business, production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment i. What is p if i = 70?Given: p=ex and e=iy (for some constants x and y), so p=ixy. Question: p=70xy=? So, basically we should find the value of xy. (1) e = 0.5 whenever i = 60 --> as e=iy then 0.5=60y --> we can find the value of y, but still not sufficient. (2) p = 2.0 whenever i = 50 --> as p=ixy then 2=50xy --> we can find the value of xy. Sufficient. Answer: B. Hope it's clear.
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Re: OG - proportional index [#permalink]
29 Nov 2010, 06:41
gettinit wrote: Would p be directly proportional to i as well if e is proportional to p? I am thinking it should be, however the constant proportion will be different between p and e and e and i and thus entirely separate between p and i? thanks. production index p is directly proportional to efficiency index e,implies p = ke (k is the constant of proportionality)
e is in turn directly proportional to investment iimplies e = mi (m is the constant of proportionality. Note here that I haven't taken the constant of proportionality as k here since the constant above and this constant could be different) Then, p = kmi (km is the constant of proportionality here. It doesn't matter that we depict it using two variables. It is still just a number) e.g. if p = 2e and e = 3i p = 6i will be the relation. 6 being the constant of proportionality. So if you have i and need p, you either need this constant directly (as you can find from statement 2) or you need both k and m (statement 1 only gives you m).
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Re: OG - proportional index [#permalink]
29 Nov 2010, 21:54
Thanks Karishma and Bunuel very helpful explanations.
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In a certain business production index p is directly [#permalink]
16 May 2013, 09:03
In a certain business, production index P is directly proportional to efficiency index E,which is in turn directly proportional to investment index i ,What is P if i = 70.? (1) e = 0.5 whenever i = 60. (2) p = 2.0 whenever i = 50.
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Re: In a certain business production index p is directly [#permalink]
16 May 2013, 09:12
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Re: In a certain business, production index p is directly [#permalink]
16 May 2013, 09:17
If P id directly proportional to E then what is the relation between them? Is it only P = E * x Or can it also be P = E*x + y. In both the cases P is directly proportional to E. As in the question the author doesn't mention anything about the values of the variables when either of them is zero, it leads to a confusing situation. Please Clarify
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Re: In a certain business, production index p is directly [#permalink]
17 May 2013, 09:02
SrinathVangala wrote: If P id directly proportional to E then what is the relation between them?
Is it only P = E * x
Or can it also be P = E*x + y.
In both the cases P is directly proportional to E. As in the question the author doesn't mention anything about the values of the variables when either of them is zero, it leads to a confusing situation.
Please Clarify It is P = E*k only. It cannot be P = E*k + m Directly proportional means that if one doubles, other doubles too. If one becomes half, other becomes half too. It doesn't happen in case you add a constant. P = 2E + 1 If E = 5, P = 11 If E = 10, P = 21
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Re: In a certain business, production index p is directly
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17 May 2013, 09:02
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