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08 Oct 2025, 00:27
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D
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Difficulty:
35%
(medium)
Question Stats:
74% (01:39) correct
26%
(01:50)
wrong
based on 94
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If a consultant charges $5,000 for a hours of consultation, and she charges at a constant hourly rate, what is the consultant's hourly rate?
(1) If the consultant's hourly rate had been $3 less, then the cost for the a hours of consultation would have been $300 less.
(2) If the consultant's hourly rate had been $4 more, then the cost for the a hours would have been 8% more.
(1) If the consultant's hourly rate had been $3 less, then the cost for the a hours of consultation would have been $300 less.
(2) If the consultant's hourly rate had been $4 more, then the cost for the a hours would have been 8% more.
08 Oct 2025, 00:39
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$5000 = x * a, where x is the hourly rate and a is hours
(x−3)*a=4700
x*a - 3a = 4700
substitute x*a = 5000, you'll get a = 100 & x = 50
Sufficient
2. If the rate was $4 more, total cost would increase by 8%:
(x+4)*a=5400
x*a + 4a = 5400
substitute x*a = 5000, you'll get a = 100 & x = 50
Sufficient
Hence, D
08 Oct 2025, 09:29
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Let, consultant charges $x for y number of hour.
xy= 5000......(1)
(1) (x-3)y= 5000-300
xy-3y =4700 (Given xy=5000)
5000-3y=4700
y=300/3= 100
x=5000/y =5000/100= 50
Sufficient
(2) If the consultant's hourly rate had been $4 more, then the cost for the a hours would have been 8% more.
(x+4)y=5000(1+8%)=5400
xy+4y=5400
4y=400 ; y=100 and x=50
Sufficient
D
xy= 5000......(1)
(1) (x-3)y= 5000-300
xy-3y =4700 (Given xy=5000)
5000-3y=4700
y=300/3= 100
x=5000/y =5000/100= 50
Sufficient
(2) If the consultant's hourly rate had been $4 more, then the cost for the a hours would have been 8% more.
(x+4)y=5000(1+8%)=5400
xy+4y=5400
4y=400 ; y=100 and x=50
Sufficient
D
