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# Profit Per Student (in Dollars) at Dan’s Dojo,

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1734 [0], given: 397

Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink]  14 Jul 2018, 05:11
Expert's post
00:00

Question Stats:

50% (00:48) correct 50% (00:00) wrong based on 4 sessions
Profit Per Student (in Dollars) at Dan’s Dojo, 2000–2004

 2000 60 2001 80 2002 80 2003 100 2004 162

At Dan’s Dojo, the percent increase from 2004 to 2005 (not shown) was the same as the percent increase from 2000 to 2001. What was the profit per student for 2005?

[Reveal] Spoiler: OA
216

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1734 [0], given: 397

Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink]  14 Jul 2018, 05:30
Expert's post
Explanation

The percent increase from 2000 to 2001 is:

Percent Change =$$\frac{Difference}{Original}\times 100 \%$$
Percent Change =$$\frac{20}{10}\times 100 \%=33.333333 \%$$

Now, apply a 33.33333%, or $$\frac{1}{3}$$, increase to 2004’s figure. The GRE calculator cannot accept a repeating decimal; instead, divide 162 by 3 to get the amount of increase, and then add 162 to get the new profit per student in 2005: 162 ÷ 3 + 162 = 216.
_________________

Sandy
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Re: Profit Per Student (in Dollars) at Dan’s Dojo,   [#permalink] 14 Jul 2018, 05:30
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