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17 Jul 2009, 18:23
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A certain IT dept. of fewer than 15 people hires coders and system administrators.Coders are paid $55000 per yr. on average,while systems administrators are paid an average yearly slary od $45000.What is the ratio of coders to system admins?
1.If two of the coders were made systems admins instead,the yrly payroll for the IT dept. would be $535000.
2.If syestems admins salaries were reduced by one third,and coders salary were increased to $58000 the dept. would save $5700 in yrly payroll.
[spoiler]Ans"D[/spoiler]
Guys messed up this one.Detailed expl. please!
1.If two of the coders were made systems admins instead,the yrly payroll for the IT dept. would be $535000.
2.If syestems admins salaries were reduced by one third,and coders salary were increased to $58000 the dept. would save $5700 in yrly payroll.
[spoiler]Ans"D[/spoiler]
Guys messed up this one.Detailed expl. please!
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17 Jul 2009, 23:51
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tejal777,
I'm guessing you meant (in statement 2) savings of $57,000. On this assumption:
GIVEN
coders (c) make 55,000
systems administrators (s) make 45,000
c + s < 15
STATEMENT 1 tells us
55,000 * (c - 2) + 45,000 * (s + 2) = 535,000
therefore
55,000 * c + 45,000 * s = 555,000
STATEMENT 2 tells us
58,000 * c + 30,000 * s + 57,000 = total yearly payroll
this leaves us with two distinct possibilities, given the constraints of the problem
1) 1 coder : 4 systems admins
[since 4*15,000-1*3,000=57,000]
2) 6 coders : 5 systems admins
[since 5*15,000-6*3,000=57,000]
In order to evaluate which ratio is correct, we must utilize statement 1, which tells us the total yearly payroll for all employees.
55,000 * 5 + 45,000 * 6 = 555,000
therefore, the ratio is
6 : 5
and your answer is
C
I'm guessing you meant (in statement 2) savings of $57,000. On this assumption:
GIVEN
coders (c) make 55,000
systems administrators (s) make 45,000
c + s < 15
STATEMENT 1 tells us
55,000 * (c - 2) + 45,000 * (s + 2) = 535,000
therefore
55,000 * c + 45,000 * s = 555,000
STATEMENT 2 tells us
58,000 * c + 30,000 * s + 57,000 = total yearly payroll
this leaves us with two distinct possibilities, given the constraints of the problem
1) 1 coder : 4 systems admins
[since 4*15,000-1*3,000=57,000]
2) 6 coders : 5 systems admins
[since 5*15,000-6*3,000=57,000]
In order to evaluate which ratio is correct, we must utilize statement 1, which tells us the total yearly payroll for all employees.
55,000 * 5 + 45,000 * 6 = 555,000
therefore, the ratio is
6 : 5
and your answer is
C
18 Jul 2009, 01:07
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Initially I went for D:
1. Gives us 55.000*c+45.000*sa=555.000 As c+sa<15, I supposed there is only one combination that satisfies the answer.
2. Gives us 55.000*c+45.000*sa-58.000*c-30.000*sa=57.000.
15.000*sa-3.000*c=57.000, I supposed there is only one combination that satisfies the answer.
After building a small table in Excel:
1. Gives us only 1 possible combination: 6 coders and 5 sadmins
2. Gives us 2 possible combinations: 6 coders and 5 sadmins or 1 coder and 4 sadmins (as andreikurochkin has already stated)
Hence, A.
1. Gives us 55.000*c+45.000*sa=555.000 As c+sa<15, I supposed there is only one combination that satisfies the answer.
2. Gives us 55.000*c+45.000*sa-58.000*c-30.000*sa=57.000.
15.000*sa-3.000*c=57.000, I supposed there is only one combination that satisfies the answer.
After building a small table in Excel:
1. Gives us only 1 possible combination: 6 coders and 5 sadmins
2. Gives us 2 possible combinations: 6 coders and 5 sadmins or 1 coder and 4 sadmins (as andreikurochkin has already stated)
Hence, A.
