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# There are 2 kinds of staff members in a certain company, PART TIME AND

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Manager
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There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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10 Jul 2011, 19:35
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Difficulty:

75% (hard)

Question Stats:

53% (01:39) correct 47% (01:26) wrong based on 226 sessions

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There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8
[Reveal] Spoiler: OA

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Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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10 Jul 2011, 22:11
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Alchemist1320 wrote:
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8

Just plug in
Assuming there are 100 employees

25% are PT = 25
75% FT = 75

Assume that the total number of hrs FT employees have to work = 10
PT will work = 3/5*10 = 6

since the wages are same , there will no affect on ratios
total number of hrs FT employees work = 75*10 = 750
PT = 25*6 = 150

now the ratio is 150/900 = 1/6

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Manager
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Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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02 Aug 2015, 10:55
25 PT & 75 FT

Total time taken by PT members for their work - 3
Total time taken by FT members for their work - 5

Wages were all same for both.

Total wages for PT members - 3*25 = 75
Total wages for FT members - 5*75 = 375

Ratio of total wages of part time members to Total wage of all members = 75:(75+375) = 1:6

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Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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09 Jan 2016, 11:10
i tried to pick numbers rather than dive into algebra...
suppose we have total 20 workers: 5 workers part time, 15 workers full time.
suppose full time work 10 hours, part time 6 hours.
suppose pay is 1$/hour we then have: 5*6*1=30$ - pay for part time workers
and we have: 15*10*1=150$- pay for full time workers. total pay - 150+30=180$.

now, we need to have the ratio of pay for part time to total pay
30/180=1/6.

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Director
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There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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16 Jan 2016, 16:43
let 1 and 3=number of part time and full time workers respectively
let 3 and 5=number of hours per part time and full time worker respectively
(1)(3)=3 total part time worker hours
(3)(5)=15 total full time worker hours
3+15=18 total worker hours
assuming equal hourly pay, total wage ratio=3/18=1/6

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Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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18 Jan 2016, 10:53
Hi All,

This question is a 'lift' of an OG question:

GMAT2016: Problem Solving #175, page 177
OG13/GMAT2015: Problem Solving #151, page 173

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Rich
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Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ ***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*********************** Kudos [?]: 3780 [0], given: 173 Manager Joined: 20 Jan 2017 Posts: 63 Kudos [?]: 10 [0], given: 15 Location: United States (NY) Schools: CBS '20 (A) GMAT 1: 750 Q48 V44 GMAT 2: 610 Q34 V41 GPA: 3.92 Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink] ### Show Tags 17 Feb 2017, 04:33 For me the easiest way to understand this problem was to pick numbers: Part Time: 25 employees; 3 hours of work; 10$/h wage = Total earnings: 25*3*10=$750 Full Time: 75 employees; 5 hours of work; 10$/h wage = Total earnings: 75*5*10=$3750 PT&FT earnings:$750+$3750=$4500
$$PT/Total=\frac{750}{4500}=\frac{1}{6}$$

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Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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23 Feb 2017, 09:26
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Expert's post
Alchemist1320 wrote:
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8

We can let the total staff members = x. Thus, 0.25x = part-time and 0.75x = full-time.

We can let f = the work time of each full-time member; thus, the work time of each part-time member is (3/5)f = 0.6f.

The total wage of the part-time members is (0.25x)(0.6f) = 0.15xf

The total wage for full-time members is 0.75xf.

Thus, the total wage for all members is 0.75xf + 0.15xf = 0.9xf, and the ratio of total wage of part-time members to total wage of all members is:

0.15xf/0.9xf = 15/90 = 1/6

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Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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11 Mar 2017, 08:25
I reached the 1/6 solution fast applying smart numbers

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Director
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Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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11 Mar 2017, 12:44
Alchemist1320 wrote:
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8

25*3/5=15
75*5/5=75
15+75=90
15/90=1/6
C

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Re: There are 2 kinds of staff members in a certain company, PART TIME AND [#permalink]

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04 Aug 2017, 07:00
Alchemist1320 wrote:
There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.

A.1/4
B.1/5
C 1/6
D 1/7
E 1/8

Let the total number of members be N
So part time members = .25N & Full time members = .75N

Let the wage be W per hour which is same for both full time and part time members.

Let the work time be T hours for full time members so it will be 3T/5 hours for part time members.

Ratio of total wage of part time members to total wage of full time members = .25N * W * (3T/5) / .75N * W * T = 1/5
Ratio of total wage of part time members to total wage of all the members = 1/(1+5) = 1/6

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Re: There are 2 kinds of staff members in a certain company, PART TIME AND   [#permalink] 04 Aug 2017, 07:00
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