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### Show Tags

01 Jul 2018, 20:19
00:00

Difficulty:

35% (medium)

Question Stats:

90% (01:29) correct 10% (02:30) wrong based on 29 sessions

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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.

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Re: If a consultant charges $5,000 for a hours of consultation, and she ch [#permalink] ### Show Tags 01 Jul 2018, 23:48 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.
so loss of $3 per hour results in$300
number of hour = $$\frac{300}{3}=100$$
hourly rate = $$\frac{5000}{100=50}$$
sufficient

(2) If the consultant's hourly rate had been $4 more, then the cost for the a hours would have been 8% more.$4 more per hour results in 8% more
and 8% = $$5000*\frac{8}{100}=400$$
so hour = $$\frac{400}{4}=100$$
and hourly rate = $$\frac{5000}{100}=50$$
suff

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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