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If xerox paper costs 5 cents a sheet and a buyer gets 10%

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Joined: 25 Jan 2013
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If xerox paper costs 5 cents a sheet and a buyer gets 10% [#permalink]

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New post 20 Feb 2013, 22:42
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Question Stats:

77% (02:06) correct 23% (02:50) wrong based on 106 sessions

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If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 25000 sheets of xerox paper?

A. $1250
B. $1060
C. $1350
D. $900
E. $1000
[Reveal] Spoiler: OA
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Re: If xerox paper costs 5 cents a sheet and a buyer gets 10% [#permalink]

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New post 21 Feb 2013, 00:45
For first 2000 pages - cost 5 cents/paper
For 2001 - 10000 - cost 4.5 cents/paper
For 10000+ - 4cents/paper

So Cost = (5 cents * 2000 ) + (4.5 cents * 8000 ) + (4 cents * 15000) = $1060
alternatively, (0.05 x 2000)+(0.045x8000)+(0.04x15000) = 1,060

Hope it is clear.
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Re: If xerox paper costs 5 cents a sheet and a buyer gets 10% [#permalink]

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New post 21 Feb 2013, 00:46
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antoxavier wrote:
If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 25000 sheets of xerox paper?

A. $1250
B. $1060
C. $1350
D. $900
E. $1000

30 sec approach - solve it using approximation
25000 sheet at full price, 5 cent = 1250
25000 sheet at max discount price, 4 cent = 1000
Your ans got to be between these two.
Ans B it is.
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If xerox paper costs 5 cents a sheet and a buyer gets 10% [#permalink]

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New post 10 Jul 2017, 03:28
antoxavier wrote:
If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 25000 sheets of xerox paper?

A. $1250
B. $1060
C. $1350
D. $900
E. $1000

Another 30-second approach: move the decimal point on cents to the right two places. Move the decimal point on quantity to the left two places. Each move offsets the other.

1. First batch at cost 5 (no discount) * 20 = total cost of 100

2. Second batch at discount of .9*5 = 4.5 * 80.

\(\frac{9}{2}\) * 80 = total cost of 360

3. Third batch at discount of .8*5 = 4.

4 * 150 = total cost of 600

4. 100 + 360 + 600 = 1060

Answer B
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Re: If xerox paper costs 5 cents a sheet and a buyer gets 10% [#permalink]

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New post 12 Jul 2017, 17:01
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Expert's post
antoxavier wrote:
If xerox paper costs 5 cents a sheet and a buyer gets 10% discount on all xerox paper one buys after the first 2000 papers and 20% discount after first 10000 papers, how much will it cost to buy 25000 sheets of xerox paper?

A. $1250
B. $1060
C. $1350
D. $900
E. $1000


The first 2,000 sheets cost 2,000 x 5 = 10,000 cents = 100 dollars.

The next 8,000 sheets cost 8,000 x 5 x 0.9 = 36,000 cents = 360 dollars.

The last 15,000 sheets cost 15,000 x 5 x 0.8 = 60,000 cents = 600 dollars.

Thus, the total for 25,000 sheets is 100 + 360 + 600 = 1,060 dollars.

Answer: B
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Re: If xerox paper costs 5 cents a sheet and a buyer gets 10% [#permalink]

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New post 05 Dec 2017, 12:50
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Hi All,

To start, the GMAT almost always lists the answer choices 'in order' (often from least to greatest although sometimes in decreasing order). You can sometimes take strategic advantage of that information, so it's important to make sure that you're using practice questions that follow that design pattern. That all having been said, to answer this question, we need to break the calculation down in to 'pieces' (based on the cost/discount of each piece):

The cost of the first 2,000 sheets
The cost of the next 8,000 sheets
The cost of the final 15,000 sheets

At $0.05 per sheet, the first 2,000 sheets would cost (2,000)($0.05) = $100

Since a 10% discount is applied to the TOTAL cost of the next 8,000 sheets, that cost would be....
(8,000)($0.05) = $400 - (.1)($400) = $360

A 20% discount is applied to the TOTAL cost of the final 15,000 sheets....
(15,000)($0.05) = $750 - (.2)($750) = $600

Total Cost = $100 + $360 + $600 = $1060

Final Answer:
[Reveal] Spoiler:
B


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Re: If xerox paper costs 5 cents a sheet and a buyer gets 10%   [#permalink] 05 Dec 2017, 12:50
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