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Hi All,

Although the prompt does not state it, we're meant to assume a constant rate for all activities (meaning that increasing one's work time by 50% leads to an equivalent 50% increase in output). Since each worker is increasing his/her work time from 8 hours to 12 hours (which is an increase of 50%), then we're meant to assume that the number of tax returns prepared will also increase by 50%. At this point, we can do the math in a couple of different ways - you can either calculate the difference now and then increase it by 50% or increase both results by 50% and then compare the difference. Thus the two workers would earn a total of...

Tax Preparer A: (24 tax returns)($75 each) = $1800
Tax Preparer B: (18 tax returns)($90 each) = $1620

The first preparer will make $1800 - $1620 = $180 more than the second preparer.

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Nanobotstv
The table above gives the prices for tax returns prepared by each of two tax return preparers and the rates at which those preparers can complete tax return in an 8-hour workday. If both preparers decide to work 12 hours on a certain day, how much more gross income is made by tax preparer A than by tax preparer B?

a) $120
b) $180
c) $240
d) $360
e) $540

Please assist with above problem.

per day rate A ; 16/8 ; 2
and charges for 12 hrs ; 2*12 * 75= 1800
for B ; 12/8 * 12 = 18
charges 12 hr s; 18 * 90 = 1620
difference ; 1800-1620; 180 $
IMO B
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Nanobotstv
The table above gives the prices for tax returns prepared by each of two tax return preparers and the rates at which those preparers can complete tax return in an 8-hour workday. If both preparers decide to work 12 hours on a certain day, how much more gross income is made by tax preparer A than by tax preparer B?

a) $120
b) $180
c) $240
d) $360
e) $540

Please assist with above problem.

Tax guy B does 3/4 of the work and charges 6/5 so his total income = (3/4)*(6/5) = 9/10 of tax guy A.

So (1/10)th of income of A will be extra.

Income of A in 12 hrs = 24*75

Extra income of A = 24*75/10 = $180

Answer (B)
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