Rates for having a manuscript typed at a certain typing

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Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?

A. $430
B. $620
C. $650
D. $680
E. $770

The OA is D.

50 pages typed 1x
40 pages typed 2x (original + one revision)
10 pages typed 3x (original + two revisions)

50(5)+40(5+3)+10(5+3+3)=250+320+110=680. D.

Please, can anyone explain another way to solve this PS question? Thanks!
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by [email protected] » Sun Apr 29, 2018 2:16 pm
Hi All,

We're told that rates for having a manuscript typed at a certain typing service are $5 per page for the first a page is typed and $3 per page each time a page is REVISED - and a certain manuscrpt has 100 pages, of which 40 were revised only ONCE, 10 were revised TWICE, and the rest required NO revisions. We're asked for the total cost of having the manuscript typed.

We can break the total cost down into 'pieces':
100 total pages
10 were revised TWICE = (10)($5 + $3 + $3) = (10)($11) = $110
40 were revised ONCE = (40)($5 + $3) = (40)($8) = $320
50 were NOT revised = (50)($5) = $250

Total = $110 + $320 + $250 = $680

Final Answer: D

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by Jeff@TargetTestPrep » Tue May 01, 2018 9:31 am
BTGmoderatorLU wrote:Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?

A. $430
B. $620
C. $650
D. $680
E. $770
We are given that the manuscript has 100 pages, and, of those pages, 40 were revised once, 10 were revised twice, and the remaining 50 pages had no revisions.

Thus, the charge for the 50 pages that required no revisions was 50 x $5 = $250.

Next, we can determine the total charge for the 40 pages that were revised once. We have an initial charge of $5 per page and an extra charge of $3 per page for the revision. Thus, the total cost was 40 x ($5 + $3) = 40 x $8 = $320.

Finally, we can determine the total cost for the 10 pages that were revised twice. We again have an initial charge of $5 and then a charge of $3 for each revision. Thus, the total cost was 10 x ($5 + $3 + $3) = 10 x $11 = $110.

Therefore, the total cost of all 100 pages is $250 + $320 + $110 = $680.

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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