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  # 1996 amount x was invested, By 1997 the amount increased by
  
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  1996 amount x was invested, By 1997 the amount increased by [#permalink]  17 Oct 2005, 20:52
  1996 amount x was invested, By 1997 the amount increased by r%. By 1998 the total amount of 1997 increased by y%. What is the percentage of increase from with respect to x at the end of 1998.
  Senior Manager
  Joined: 02 Oct 2005
  Posts: 307
  Followers: 1
  
  Kudos [?]: 2 [0], given: 0
  
  Percentage increase: (ry/100 + r + y) %
  
  After 1st year: Total amount is (1 + r/100) * x
  After 2nd year: Total amont is (1 + r/100) * x * (1 + y/100)
  
  = x * ( 1 + ry/10000 + r/100 + y/100)
  = x ( 1 + ( (ry/100) + r + y) / 100)
  
  % increase is = ( ( (ry/100) + r + y) * x / x ) * 100
  = (ry/100 + r + y) %
  
  Let me know if I have missed something
  GMAT Club Legend
  Joined: 07 Jul 2004
  Posts: 5134
  Location: Singapore
  Followers: 9
  
  Kudos [?]: 87 [0], given: 0
  
  1996 - x
  1997 - rx/100 + x
  1998 - y/100(rx/100+x) + rx/100 + x = rxy/10000 + xy/100 + rx/100 + x
  
  Difference between 1998 and 1996 = rxy/10000 + xy/100 + rx/100 + x - x = rxy/10000 + xy/100 + rx/100
  
  % increase = x/100(ry/100 + y + r) / x * 100% =( ry/100 + y + r )%
  Senior Manager
  Joined: 30 Oct 2004
  Posts: 290
  Followers: 1
  
  Kudos [?]: 3 [0], given: 0
  
  Wouldn't this be a candidate for the "pick numbers" strategy and then backsolve? Just curious....
  
  Anyways.... on this one without the 5 options... we have no choice but to formulate the equations (got the eqn using ywilfreds approach)
  
  _________________
  
  -Vikram
  
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  _____________________________________________ | Amount 7 09 Sep 2007, 16:13
  For dollars amounts, w,x,y, and z, were invested in a 3 27 Jan 2008, 13:54
  1 Four dollar amounts, w, x, y, and z, were invested in a 2 18 Apr 2009, 20:39
  Four dollar amounts w,x ,y, and z, were invested in a 1 15 Apr 2010, 12:19
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  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
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distilabel_metadata.content: Find all School-related info fast with the new School-Specific MBA Forum
  
   It is currently 19 May 2013, 18:11
  
  # 1996 amount x was invested, By 1997 the amount increased by
  
  Author Message
  TAGS:
  Manager
  Joined: 10 Oct 2005
  Posts: 66
  Followers: 1
  
  Kudos [?]: 0 [0], given: 0
  
  1996 amount x was invested, By 1997 the amount increased by [#permalink]  17 Oct 2005, 20:52
  1996 amount x was invested, By 1997 the amount increased by r%. By 1998 the total amount of 1997 increased by y%. What is the percentage of increase from with respect to x at the end of 1998.
  Senior Manager
  Joined: 02 Oct 2005
  Posts: 307
  Followers: 1
  
  Kudos [?]: 2 [0], given: 0
  
  Percentage increase: (ry/100 + r + y) %
  
  After 1st year: Total amount is (1 + r/100) * x
  After 2nd year: Total amont is (1 + r/100) * x * (1 + y/100)
  
  = x * ( 1 + ry/10000 + r/100 + y/100)
  = x ( 1 + ( (ry/100) + r + y) / 100)
  
  % increase is = ( ( (ry/100) + r + y) * x / x ) * 100
  = (ry/100 + r + y) %
  
  Let me know if I have missed something
  GMAT Club Legend
  Joined: 07 Jul 2004
  Posts: 5134
  Location: Singapore
  Followers: 9
  
  Kudos [?]: 87 [0], given: 0
  
  1996 - x
  1997 - rx/100 + x
  1998 - y/100(rx/100+x) + rx/100 + x = rxy/10000 + xy/100 + rx/100 + x
  
  Difference between 1998 and 1996 = rxy/10000 + xy/100 + rx/100 + x - x = rxy/10000 + xy/100 + rx/100
  
  % increase = x/100(ry/100 + y + r) / x * 100% =( ry/100 + y + r )%
  Senior Manager
  Joined: 30 Oct 2004
  Posts: 290
  Followers: 1
  
  Kudos [?]: 3 [0], given: 0
  
  Wouldn't this be a candidate for the "pick numbers" strategy and then backsolve? Just curious....
  
  Anyways.... on this one without the 5 options... we have no choice but to formulate the equations (got the eqn using ywilfreds approach)
  
  _________________
  
  -Vikram
  
  Similar topics Replies Last post
  Similar
  Topics:
  four dollars amounts w, x, y, and z, were invested in a 4 06 Sep 2006, 18:29
  _____________________________________________ | Amount 7 09 Sep 2007, 16:13
  For dollars amounts, w,x,y, and z, were invested in a 3 27 Jan 2008, 13:54
  1 Four dollar amounts, w, x, y, and z, were invested in a 2 18 Apr 2009, 20:39
  Four dollar amounts w,x ,y, and z, were invested in a 1 15 Apr 2010, 12:19
  Display posts from previous: Sort by
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  # 1996 amount x was invested, By 1997 the amount increased by
  
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