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The table above gives the prices for tax returns prepared by each of t

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The table above gives the prices for tax returns prepared by each of t [#permalink]

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New post 19 Oct 2016, 07:15
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Question Stats:

79% (01:37) correct 21% (01:44) wrong based on 67 sessions

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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.
Spoiler: OA

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Re: The table above gives the prices for tax returns prepared by each of t [#permalink]

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New post 19 Oct 2016, 07:57
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alanforde800Maximus wrote:
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.

Work done by A = 1200 (ie, 16*75)
Work done by B = 1080 (ie, 12*90)

Diff in work done in 8 hour workday is $120 ( Since A > B ; A works more than B)
Diff in work done in 12 hour workday is $120/8*12 = $180

Hence answer will be (B) 180
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Re: The table above gives the prices for tax returns prepared by each of t [#permalink]

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New post 19 Oct 2016, 22:48
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No of returns prepared by A/hr = 16/8 = 2, no of returns in 12 hrs = 12*2 = 24

Income from 24 returns = 24*$75 = $1800

No of returns prepared by B/hr = 12/8 = 1.5, no of returns in 12 hrs = 12*1.5 = 18

Income from 18 returns = 18*$90 = $1620

Difference = $1800-$1620 = $180

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Re: The table above gives the prices for tax returns prepared by each of t [#permalink]

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New post 24 Jan 2018, 22:19
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.

Final Answer:
Spoiler: ::
B


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Re: The table above gives the prices for tax returns prepared by each of t   [#permalink] 24 Jan 2018, 22:19
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