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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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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.

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

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.

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

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

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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

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

Answer: 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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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.

Concentration: General Management, Entrepreneurship

GPA: 3.8

WE: Engineering (Energy and Utilities)

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