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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
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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
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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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Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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
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