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

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

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Question Stats:

84% (06:50) correct 16% (02:31) wrong based on 134 sessions

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Any help please. the book did not provide any answer. Thanks

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

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New post 03 Jun 2012, 02:49
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phoenix9801 wrote:
Any help please. the book did not provide any answer. Thanks

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

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

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New post 19 Nov 2014, 10:51
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phoenix9801 wrote:
Any help please. the book did not provide any answer. Thanks

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

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

310xy=260xy+300y

50xy=300y

50x=300

x=6

so, 2*6=12

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