Last visit was: 19 Nov 2025, 08:16 It is currently 19 Nov 2025, 08:16
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,663
Own Kudos:
20,165
 [18]
Given Kudos: 165
Expert
Expert reply
Posts: 3,663
Kudos: 20,165
 [18]
A writer gets paid $10 per page, for the first 40 pages that she write Updated on: 27 Dec 2024, 01:16
Originally posted by EgmatQuantExpert on 08 Feb 2019, 02:17.
Last edited by Bunuel on 27 Dec 2024, 01:16, edited 2 times in total.
1
Kudos
Add Kudos
17
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

44% (03:29) correct 56% (02:59) wrong based on 185 sessions

History

Date
Time
Result
Not Attempted Yet
A writer gets paid $10 per page, for the first 40 pages that she writes on a day. For every additional page that she writes on that day, she gets an extra $4 per page over the normal pay per page. She writes at least 35 pages in a single day. In a span of 3 consecutive days, she earned a total amount of $1500. What is the maximum number of pages that she wrote in a single day?

A. 40
B. 55
C. 65
D. 68
E. 80

Show Spoiler

e-GMAT Question of the Week #35


ShowHide Answer
Official Answer
C
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 15 Nov 2025
Posts: 11,238
Own Kudos:
43,703
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,238
Kudos: 43,703
 [1]
A writer gets paid $10 per page, for the first 40 pages that she write 08 Feb 2019, 02:42
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
EgmatQuantExpert
A writer gets paid $10 per page, for the first 40 pages that she writes on a day. For every additional page that she writes on that day, she gets an extra $4 per page over the normal pay per page. She writes at least 35 pages in a single day. In a span of 3 consecutive days, she earned a total amount of $1500. What is the maximum number of pages that she wrote in a single day?

    A. 40
    B. 55
    C. 65
    D. 68
    E. 80

Show more


For max on one day, take minimum the other days, so 35 each day at the rate of 10 per page = 35*2*10=700..
On the third day 1500-700=800..
40 at the rate of 10 is 400$, so remaining 400 is at the rate of 10+4 or 14 per page... But 400 is not a multiple of 14..
So look for a multiple of 14 such that 14x=400-10y...

thus x has to be a multiple of 10 and therefore 14x=350...x=25..
Therefore the total on third day = 40+25=65..
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 19 Nov 2025
Posts: 8,422
Own Kudos:
4,981
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,422
Kudos: 4,981
A writer gets paid $10 per page, for the first 40 pages that she write 08 Feb 2019, 04:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
for day 1 & 2 : suppose writer has written 35 pages each on both days ; 35*2 = 70 pages and has earned ; 70 * 10 = 700 $
balance amount = 1500-700 ; 800 $
800 $ can be earned ; 40 pages * 10 $ each + 14 $ * no of additional pages

now if we see 800-400 = 400 $ amount which writer would have earned typing extra pages has to be a factor of 14 & 10 both since we have unit digit as 0
so only nearest possible no is 25 ; 14* 25 = 350
so it means on a single day she must have had written 40 + 25 = 65 pages in total... equal to 750 $
and on other days she must have written 40 pages , 35 pages amount to 750 $ total
IMO C 65 pages


EgmatQuantExpert
A writer gets paid $10 per page, for the first 40 pages that she writes on a day. For every additional page that she writes on that day, she gets an extra $4 per page over the normal pay per page. She writes at least 35 pages in a single day. In a span of 3 consecutive days, she earned a total amount of $1500. What is the maximum number of pages that she wrote in a single day?

    A. 40
    B. 55
    C. 65
    D. 68
    E. 80

Show more
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,663
Own Kudos:
20,165
Given Kudos: 165
Expert
Expert reply
Posts: 3,663
Kudos: 20,165
A writer gets paid $10 per page, for the first 40 pages that she write 11 Feb 2019, 23:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution


Given
In this question, we are given that
    • A writer gets paid $10 per page, for the first 40 pages that she writes on a day.
    • For every additional page that she writes on that day, she gets an extra $4 per page over the normal pay per page.
    • She writes at least 35 pages in a single day.
    • In a span of 3 consecutive days, she earned a total amount of $1500.

To Find
From the given information, we need to determine
    • The maximum number of pages that the writer wrote in a single day

Approach & Working
As we are trying to find the maximum number of pages that she wrote in a single day, we need to minimize the number of pages that she wrote on the other 2 days.

It is also given that the writer wrote at least 35 pages on a single day.
    • Hence, we can assume that the other 2 days she wrote 35 pages each day and earned (35 x 2 x $10) = $700 in total.
    • Therefore, her earning on the day she writes maximum pages = ($1500 – $700) = $800

Now, for the first 40 pages, she is already earning ($10 x 40) = $400.
So, for the remaining pages she can earn = $800 – $400 = $400.

As in every extra page beyond 40 pages, she is earning ($10 + $4) = $14, then number of extra pages she wrote should be $400/14 = 28.57, which is not an integer!
It means, she must have written a few pages on the other 2 days.
    • If she wrote 1 page on the other 2 days, then on that day she wrote ($400 - $10)/$14 = 27.8, which is not an integer.
    • If she wrote 2 pages on the other 2 days, then on that day she wrote ($400 - $20)/$14 = 27.1, which is not an integer.
    • If she wrote 3 pages on the other 2 days, then on that day she wrote ($400 - $30)/$14 = 26.4, which is not an integer.
    • If she wrote 4 pages on the other 2 days, then on that day she wrote ($400 - $40)/$14 = 25.7, which is not an integer.
    • If she wrote 5 pages on the other 2 days, then on that day she wrote ($400 - $10)/$14 = 25, which is an integer.

Therefore, she must have written 25 extra pages on that day, and hence, the total number of pages that she wrote is 40 + 25 = 65

Hence, the correct answer choice is option C.


User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,588
Own Kudos:
1,079
Posts: 38,588
Kudos: 1,079
A writer gets paid $10 per page, for the first 40 pages that she write 01 Nov 2025, 00:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderators:
Bunuel
Math Expert
105389 posts
Krunaal
Tuck School Moderator
805 posts