Results 1 to 3 of 3

Math Help - Table of figures, finding new revenue, very short but difficult brain teaser

  1. #1
    Newbie
    Joined
    May 2009
    Posts
    7

    Table of figures, finding new revenue, very short but difficult brain teaser



    Student discount price: $4
    Normal price: $7

    Multiple Choice Question: If the club offered no discount for students and consequently the number of students attending dropped by 10%, what would be the new revenue created for Jan?

    Choice of answers:
    A) $80,900
    B) $92,000
    C) $122,600
    D) $104,000

    Correct answer is D. I have been trying for hours to solve this problem!!
    I have no idea how they got D.

    This is what i've tried:

    So, students have dropped by 10%. I assume they mean 10% per month. Therefore, for Jan we now have 0.9 * 14000 = 12600 student sales.

    But we have 8000 "normal sales", who already pay full price ($7).
    Therefore, the new revenue for Jan should be:
    ($7 * 8000) + ($7 * 12600) = $144,200

    Now, I assume the answer they want doesn't take into account the "old" revenue, ie. the revenue that would already occur before taking away the discount anyway. This would be: ($7 * 8000) + ($4 * 14000) = $112,000

    Therefore, the new revenue generated by the removal of the discount would be: $144200 - $112000 = $322,000.

    But this isn't in the choice of answers! So how did they get choice D? Does anyone know? Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor ebaines's Avatar
    Joined
    Jun 2008
    From
    Illinois
    Posts
    1,043
    Thanks
    284
    You approach is correct, and you have the right answer - almost! There's a typo in the last bit - you should have $144200 - $112000 = $32,200.

    Don't know how they got answer D. All I can think is that the problem is not worded correctly. You either need a lot more studenst than the 14,000 shown for January, or the difference between the regular price and the student discont price has to be a lot bigger than $3.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2009
    Posts
    7
    Thanks alot for clarifying! It's reassuring to know I was right
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help - Brain Teaser
    Posted in the Math Puzzles Forum
    Replies: 9
    Last Post: August 20th 2010, 02:10 AM
  2. brain teaser
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 20th 2009, 12:16 PM
  3. Brain Teaser-PLS HELP!
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 9th 2008, 07:02 PM
  4. Brain Teaser
    Posted in the Algebra Forum
    Replies: 5
    Last Post: May 7th 2007, 10:01 AM
  5. brain teaser
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 1st 2005, 10:08 AM

Search Tags


/mathhelpforum @mathhelpforum