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
Given:
1. There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME.
2. 25 percent of the total members are PART TIME members others are FULL TIME members.
3. The work time of part time members is 3/5 of the full time members.
4. Wage per hour is same.
Asked: What is the ratio of total wage of part time members to total wage of all members.
Let the total number of staff members be x
and let the wage per hour be y
1. There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME.
2. 25 percent of the total members are PART TIME members others are FULL TIME members.
3. The work time of part time members is 3/5 of the full time members.
4. Wage per hour is same.
Total wages of PART TIME members = (25%x) * (3/5)*y = (1/4 * 3/5) xy = (3/20) xy
Total wages of FULL TIME members = 75%x *y = (3/4) xy
The ratio of total wage of part time members to total wage of full time members = \(\frac{\frac{3}{20}}{\frac{3}{4}} = \frac{4}{20} = \frac{1}{5}\)
The ratio of total wage of part time members to total wage of all members =\(\frac{1}{6}\)
IMO C