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# A firm is comprised of partners and associates in a ratio of

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Intern
Joined: 19 Jan 2010
Posts: 13

Kudos [?]: 24 [0], given: 16

A firm is comprised of partners and associates in a ratio of [#permalink]

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02 Jun 2012, 18:00
2
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Difficulty:

15% (low)

Question Stats:

83% (05:31) correct 17% (02:41) wrong based on 145 sessions

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A firm is comprised of partners and associates in a ratio of 2:65. Were 75 more associates hired, the ratio of partners to associates would be 4 to 155. How many partners are currently in the firm?

A. 5
B. 10
C. 12
D. 20
E. 25
[Reveal] Spoiler: OA

Kudos [?]: 24 [0], given: 16

Math Expert
Joined: 02 Sep 2009
Posts: 41890

Kudos [?]: 128966 [1], given: 12185

Re: A firm is comprised of partners and associates in a ratio of [#permalink]

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03 Jun 2012, 02:49
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Expert's post
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phoenix9801 wrote:

A firm is comprised of partners and associates in a ratio of 2:65. Were 75 more associates hired, the ratio of partners to associates would be 4 to 155. How many partners are currently in the firm?

A. 5
B. 10
C. 12
D. 20
E. 25

Given: $$\frac{partners}{associates}=\frac{2x}{65x}$$, for some positive multiple $$x$$.

Also: $$\frac{2x}{65x+75}=\frac{4}{155}$$ --> $$x=6$$ --> $$partners=2x=12$$.

_________________

Kudos [?]: 128966 [1], given: 12185

Intern
Joined: 25 Jul 2014
Posts: 18

Kudos [?]: 37 [1], given: 52

Concentration: Finance, General Management
GPA: 3.54
WE: Asset Management (Venture Capital)
Re: A firm is comprised of partners and associates in a ratio of [#permalink]

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19 Nov 2014, 10:51
1
KUDOS
phoenix9801 wrote:

A firm is comprised of partners and associates in a ratio of 2:65. Were 75 more associates hired, the ratio of partners to associates would be 4 to 155. How many partners are currently in the firm?

A. 5
B. 10
C. 12
D. 20
E. 25

Don't do big numbers calculation or you will fall into time trap.
Notice that the original ratio is 2:65 and the later ratio after the hire is 4:155. So the number of Partners should be divisible to both 2 and 4. Eliminate A,B, and E.
Now, pick either C or D to test (if it correct, choose it, if not, choose the other).
Let pick C: if the original partner is 12, then the original ratio will be 12:(6x65) *again, dont do big number calculation*
After the hiring, the ratio should be 12:(6x65 +75)
Now take 3 out as the multiple (3x4):(3x(2.65+25))
Cancel out the 3 we have 4:155 correct
So choice C.
Should take you about 1:20-maximum 2 min

Kudos [?]: 37 [1], given: 52

Director
Joined: 23 Jan 2013
Posts: 601

Kudos [?]: 22 [0], given: 41

Schools: Cambridge'16
Re: A firm is comprised of partners and associates in a ratio of [#permalink]

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14 Dec 2014, 21:33
2x/65x+75=4y/155y

310xy=260xy+300y

50xy=300y

50x=300

x=6

so, 2*6=12

C

Kudos [?]: 22 [0], given: 41

Re: A firm is comprised of partners and associates in a ratio of   [#permalink] 14 Dec 2014, 21:33
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