A factory that employs 1,000 assembly-line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1.5 times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 20 hours, 50 percent worked 40 hours and the rest worked 50 hours?
A) $180,000
B) $185,000
C) $190,000
D) $200,000
E) $205,000
Assembly-line workers payroll
This topic has expert replies
-
- Senior | Next Rank: 100 Posts
- Posts: 91
- Joined: Tue Mar 31, 2009 11:19 am
- Followed by:1 members
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
WEEKLY SALARIESBlueDragon2010 wrote:A factory that employs 1,000 assembly-line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1.5 times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 20 hours, 50 percent worked 40 hours and the rest worked 50 hours?
A) $180,000
B) $185,000
C) $190,000
D) $200,000
E) $205,000
Worker who worked 20 hours: Salary = (20)(5) = $100
Worker who worked 40 hours: Salary = (40)(5) = $200
Worker who worked 50 hours: Salary = (40)(5) + (10)(7.5) = $275
30 percent of them worked 20 hours,...
So, 300 workers worked 20 hours.
TOTAL salary for them = (300)($100) = $30,000
50 percent worked 40 hours....
So, 500 workers worked 40 hours.
TOTAL salary for them = (500)($200) = $100,000
... the rest worked 50 hours
There are 200 employees remaining.
TOTAL salary for them = (200)($275) = $55,000
TOTAL PAYROLL = $30,000 + $100,000 + $55,000 = [spoiler]$185,000 = B[/spoiler]
Cheers,
Brent
- Patrick_GMATFix
- GMAT Instructor
- Posts: 1052
- Joined: Fri May 21, 2010 1:30 am
- Thanked: 335 times
- Followed by:98 members
- Check out my site: GMATFix.com
- To prep my students I use this tool >> (screenshots, video)
- Ask me about tutoring.