Results 1 to 2 of 2

Math Help - Determining a discount dollar amount

  1. #1
    Newbie
    Joined
    Aug 2013
    From
    Gloucester, VA
    Posts
    1

    Question Determining a discount dollar amount

    Hello, everyone! I bring a challenging question to you all. I am trying to come up with an equation to help me and one of my coworkers solve this problem.

    Here are some numbers.

    Original Retail Price: $448.00
    Tax: (6%) 26.88
    --------
    Total: 474.88

    Now, the new order info is as follows. I need to find out how to calculate the difference I need to deduct after applying another 10% discount.

    New Retail: $549.00
    Amount to Discount (?) -51.22 (we'll call this X)
    New Total: 497.78
    Additional 10% off of new total -49.78 (Y)
    ---------
    Subtotal: 448.00 (essentially matching the above original retail before tax)
    Tax: (6%) 26.88
    Total Due: $ 474.88 (must match same as previous total due)

    My ultimate goal is to find out how I get X and/or Y. I am applying a 10% coupon afterwards, but need to enter the discount difference to come up with the same total due as the previous total due.

    Is there a formula I could use?
    Any help would be appreciated.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,696
    Thanks
    1467

    Re: Determining a discount dollar amount

    So you are saying that you want to start with 549, subtract some quantity "X" then take 10% of that (Y) to get 474.88 still?

    Okay, taking X from 549 leaves 547- X and 10% of that is .10(547- X)= 54.7- X/10. So subtracting that from 547- X leaves 547- X- 54.7+ X/10= 492.3- (9/10)X= 474.88. To solve that subtract 474.88 and add (9/10)X from both sides to get (9/10)X= 492.3- 474.88= 17.42. Now multiply on both sides by 10/9: X= (17.42)(10/9)= 174.2/9= 19.35555... which you could round to X= $19.36. Y= (.10)X= $1.94.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Determining an amount
    Posted in the New Users Forum
    Replies: 1
    Last Post: July 9th 2012, 11:41 AM
  2. Determining the amount of subatoms?
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: June 3rd 2010, 04:22 AM
  3. The Missing dollar.
    Posted in the Math Challenge Problems Forum
    Replies: 2
    Last Post: July 18th 2008, 07:06 AM
  4. Where did the dollar go?
    Posted in the Math Challenge Problems Forum
    Replies: 3
    Last Post: October 1st 2006, 02:15 PM
  5. Where's the Extra Dollar
    Posted in the Math Challenge Problems Forum
    Replies: 7
    Last Post: December 21st 2005, 08:45 AM

Search Tags


/mathhelpforum @mathhelpforum