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tarek99
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A large auto concern that employs 1,000 workers pays each of 20 Nov 2008, 13:27
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A large auto concern that employs 1,000 workers pays each of these workers $4 per hour for the first 40 hours worked during a week and x percent more than that rate for hours worked in excess of 40. If the total payroll for the workers at the end of a week in which 40 percent of them worked 20 hours, 30 percent worked 40 hours, and the rest worked 60 hours is $156,800, what is x?

(A) 10 percent
(B) 20 percent
(C) 25 percent
(D) 40 percent
(E) 50 percent



Would someone please show me a fast way to solve this problem? I wasted so much time when I reached to the correct answer.
cheers



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A large auto concern that employs 1,000 workers pays each of 20 Nov 2008, 16:57
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40% of 1000, work for 20 hrs = .4*1000*20*4 = 32000 ---A
30% of 1000, work for 40 hrs =.3*1000*40*4 = 48000 ---B
remaining 30% 1000 work for 60 hrs = .3*1000*60*p= 156,000-(A+B)=76000 so p =4.2 which is 0.2/4*100 % more which is 5% more .
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A large auto concern that employs 1,000 workers pays each of 20 Nov 2008, 18:30
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B - 20%

For 60 hrs, we need to consider 40hrs @$4 and the rest 20hrs at (1+x/100)4
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A large auto concern that employs 1,000 workers pays each of 20 Nov 2008, 22:53
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tarek99
A large auto concern that employs 1,000 workers pays each of these workers $4 per hour for the first 40 hours worked during a week and x percent more than that rate for hours worked in excess of 40. If the total payroll for the workers at the end of a week in which 40 percent of them worked 20 hours, 30 percent worked 40 hours, and the rest worked 60 hours is $156,800, what is x?

(A) 10 percent
(B) 20 percent
(C) 25 percent
(D) 40 percent
(E) 50 percent
Show more

B.

400 * 20 * 4 + 300 * 40 * 4 + 300 * 40 * 4 + 300 * 20 * a * 4 = 156800
32000 + 96000 + 24000 * a = 156800
156800 - 128000 = 24000 * a
28800/24000 = a

288/240 = 24/20 = 12/10 = 1.2 = a

Now a is "x percent more than " 4 i.e 20%



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