Results 1 to 2 of 2

Math Help - Percentage question but I don't get it!!

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    5

    Percentage question but I don't get it!!

    Ranjit started work in 2003.
    In 2004 he moved to a different job and his pay decreased by 15%
    At the end of each of the years 2004 and 2005 he was given an increase in pay. The percentage increase in pay was the same each time.
    Ranjit worked out that he was now paid 22.4% more than he was paid in 2003.
    Calculate the percentage increase that he received at the end of 2004 and 2005.

    Can anyone help me???
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,373
    Thanks
    1314
    Quote Originally Posted by Bauer_rules View Post
    Ranjit started work in 2003.
    In 2004 he moved to a different job and his pay decreased by 15%
    At the end of each of the years 2004 and 2005 he was given an increase in pay. The percentage increase in pay was the same each time.
    Ranjit worked out that he was now paid 22.4% more than he was paid in 2003.
    Calculate the percentage increase that he received at the end of 2004 and 2005.

    Can anyone help me???
    Do it step by step. Let X be his pay in 2003. "In 2004 he moved to a different job and his pay decreased by 15%". Okay, in 2004 he made X- 0.15X= 0.85X.

    "At the end of each of the years 2004 and 2005 he was given an increase in pay. The percentage increase in pay was the same each time."
    Call the percentage increase (written as a decimal of course) be A A "percent" of his salary is 0.85XA so his new salary is 0.85X+ 0.85XA= 0.85X(1+A). The next year we do the same thing except now we multiply A by 0.85X(1+A) to find the increase so his new salary, after the second increase, is 0.85X(1+A)^2

    "Ranjit worked out that he was now paid 22.4% more than he was paid in 2003" so we have 0.85X(1+ A)^2= X+ .224X= 1.224X.

    We can divide both sides of the equation by X to get 0.85(1+ A)^2= 1.224.
    (1+ A)^2= 1.224/0.85= 1.44. Taking the square root of that 1+ A= 1.2 so A= .2. His percentage pay increase was 20%.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Percentage Question
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 2nd 2011, 03:18 PM
  2. Percentage question
    Posted in the Business Math Forum
    Replies: 1
    Last Post: August 15th 2011, 06:30 PM
  3. Percentage Question
    Posted in the Statistics Forum
    Replies: 2
    Last Post: December 23rd 2010, 04:58 PM
  4. percentage question
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 12th 2009, 03:22 PM
  5. Can someone help me? Percentage question
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 29th 2008, 04:43 PM

Search Tags


/mathhelpforum @mathhelpforum