Last visit was: 10 Jul 2025, 04:38 It is currently 10 Jul 2025, 04:38
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
gsingh0711
Joined: 02 Mar 2018
Last visit: 15 Aug 2018
Posts: 42
Own Kudos:
131
 [6]
Given Kudos: 29
Location: India
GMAT 1: 640 Q51 V26
GPA: 3.1
Products:
GMAT 1: 640 Q51 V26
Posts: 42
Kudos: 131
 [6]
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
User avatar
gsingh0711
Joined: 02 Mar 2018
Last visit: 15 Aug 2018
Posts: 42
Own Kudos:
131
 [1]
Given Kudos: 29
Location: India
GMAT 1: 640 Q51 V26
GPA: 3.1
Products:
GMAT 1: 640 Q51 V26
Posts: 42
Kudos: 131
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
PKN
Joined: 01 Oct 2017
Last visit: 22 Jan 2025
Posts: 816
Own Kudos:
Given Kudos: 41
Status:Learning stage
WE:Supply Chain Management (Energy)
Posts: 816
Kudos: 1,541
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
GMAT215
Joined: 01 Feb 2018
Last visit: 20 Jul 2022
Posts: 53
Own Kudos:
Given Kudos: 157
Location: India
Concentration: Entrepreneurship, Marketing
GPA: 4
WE:Consulting (Consulting)
Posts: 53
Kudos: 21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
    [quote="gsingh0711"]In a survey of X people it was found that 40% are men and the earnings of 75% of the men are greater than $75000 per annum. 2/5 of the people surveyed earned more than $75000 per annum. What fraction of the total females earn less than or equal to $75000?

    more than 75 less than 75 Total
    men 0.3(given :75% of men) 0.1(balance) 0.4 (given)
    women 0.1 (balance) 0.5 (balance) 0.6 (balance)
    Total 0.4 (given)

    hope it helps!!!
    User avatar
    adstudy
    Joined: 11 Mar 2018
    Last visit: 15 Dec 2023
    Posts: 259
    Own Kudos:
    Given Kudos: 270
    Location: India
    GMAT 1: 710 Q49 V37 (Online)
    GMAT 1: 710 Q49 V37 (Online)
    Posts: 259
    Kudos: 407
    Kudos
    Add Kudos
    Bookmarks
    Bookmark this Post
    gsingh0711
    In a survey of X people it was found that 40% are men and the earnings of 75% of the men are greater than $75000 per annum. 2/5 of the people surveyed earned more than $75000 per annum. What fraction of the total females earn less than or equal to $75000?

    A) \(\frac{2}{3}\)

    B) \(\frac{1}{6}\)

    C) \(\frac{5}{6}\)

    D) \(\frac{1}{2}\)

    E) \(\frac{1}{5}\)

    Men = 40% of total population

    Hence,
    Women = 60% of total population

    Now question says,
    75% of the men earn greater than $75000 per annum

    That means, 75% of 40% of men earn greater than $75000 per annum = 30% of all men ------ (1)

    Now question also says,
    \(\frac{2}{5}\) of the people surveyed earned more than $75000 per annum.

    Now \(\frac{2}{5}\) of 100% = 40%

    Out of the 40%, 30% are men --------- From (1)

    That is remaining 10% are women. ----- (2)

    Now we need to find,

    fraction of the total females earn less than or equal to $75000.

    If 10% out of the 60% women earned more than $75000 per annum, then,

    50% out of 60% women earned less than or equal to $75000 per annum.

    that makes it \(\frac{5}{6}\)

    Hence C.
    User avatar
    GyMrAT
    Joined: 14 Dec 2017
    Last visit: 03 Nov 2020
    Posts: 413
    Own Kudos:
    495
     [1]
    Given Kudos: 173
    Location: India
    Posts: 413
    Kudos: 495
     [1]
    1
    Kudos
    Add Kudos
    Bookmarks
    Bookmark this Post
    Hi Mods Bunuel chetan2u

    Please move the question to PS forum.


    Thanks,
    GyM
    User avatar
    Bunuel
    User avatar
    Math Expert
    Joined: 02 Sep 2009
    Last visit: 10 Jul 2025
    Posts: 102,612
    Own Kudos:
    Given Kudos: 98,069
    Products:
    Expert
    Expert reply
    Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
    Posts: 102,612
    Kudos: 740,026
    Kudos
    Add Kudos
    Bookmarks
    Bookmark this Post
    GyMrAT
    Hi Mods Bunuel chetan2u

    Please move the question to PS forum.


    Thanks,
    GyM
    ______________
    Done. Thank you.
    User avatar
    Abhishek009
    User avatar
    Board of Directors
    Joined: 11 Jun 2011
    Last visit: 21 Apr 2025
    Posts: 5,965
    Own Kudos:
    5,154
     [1]
    Given Kudos: 463
    Status:QA & VA Forum Moderator
    Location: India
    GPA: 3.5
    WE:Business Development (Commercial Banking)
    Posts: 5,965
    Kudos: 5,154
     [1]
    Kudos
    Add Kudos
    1
    Bookmarks
    Bookmark this Post
    gsingh0711
    In a survey of X people it was found that 40% are men and the earnings of 75% of the men are greater than $75000 per annum. 2/5 of the people surveyed earned more than $75000 per annum. What fraction of the total females earn less than or equal to $75000?

    A) \(\frac{2}{3}\)

    B) \(\frac{1}{6}\)

    C) \(\frac{5}{6}\)

    D) \(\frac{1}{2}\)

    E) \(\frac{1}{5}\)

    Let the total Population be 100 , So Men = 40 & Women = 60

    75% of the men ie 30 men earns > 75000

    Further 2/5th (Or 40people ) earn > 75000 ; Or we have 10 women earns > 75000

    Hence we have 50 women earning < 75000

    Thus, the fraction of the total females earn less than or equal to $75000 = 50/60 = 5/6, Answer must be (C)
    User avatar
    Kinshook
    User avatar
    Major Poster
    Joined: 03 Jun 2019
    Last visit: 10 Jul 2025
    Posts: 5,682
    Own Kudos:
    Given Kudos: 161
    Location: India
    GMAT 1: 690 Q50 V34
    WE:Engineering (Transportation)
    Products:
    GMAT 1: 690 Q50 V34
    Posts: 5,682
    Kudos: 5,199
    Kudos
    Add Kudos
    Bookmarks
    Bookmark this Post
    gsingh0711
    In a survey of X people it was found that 40% are men and the earnings of 75% of the men are greater than $75000 per annum. 2/5 of the people surveyed earned more than $75000 per annum. What fraction of the total females earn less than or equal to $75000?

    A) \(\frac{2}{3}\)

    B) \(\frac{1}{6}\)

    C) \(\frac{5}{6}\)

    D) \(\frac{1}{2}\)

    E) \(\frac{1}{5}\)

    Given:
    1. In a survey of X people it was found that 40% are men and the earnings of 75% of the men are greater than $75000 per annum.
    2. 2/5 of the people surveyed earned more than $75000 per annum.

    Asked: What fraction of the total females earn less than or equal to $75000?

    Attachment:
    Screenshot 2020-04-29 at 7.48.48 PM.png
    Screenshot 2020-04-29 at 7.48.48 PM.png [ 26.23 KiB | Viewed 3195 times ]

    Fraction of the total females that earn less than or equal to $75000 = 50%/60% = 5/6

    IMO C

    User avatar
    bumpbot
    User avatar
    Non-Human User
    Joined: 09 Sep 2013
    Last visit: 04 Jan 2021
    Posts: 37,373
    Own Kudos:
    Posts: 37,373
    Kudos: 1,010
    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:
    Math Expert
    102612 posts
    PS Forum Moderator
    684 posts