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

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sandy
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Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   14 Jul 2018, 05:11
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Profit Per Student (in Dollars) at Dan’s Dojo, 2000–2004
200060
200180
200280
2003100
2004162


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?

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216
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   14 Jul 2018, 05:30
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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.
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   17 Sep 2019, 05:12
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Previous percent increase is 33.3% so From 2004-2005; 162*33.3 = 5394.6 then divide it by 100 we get 53.946; adding this with 162 + 53.946 = 215.9460, this is the actual per-student profit whereas we take it as 216.
Now, my question is in the main/real GRE xm do I need to put the 215.94 or just by leveling 215.94 to 216 and then put 216 as an answer. ???
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   17 Sep 2019, 05:16
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The question will specify if the value must be rounded or you have to insert the exact value.

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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   17 Sep 2019, 05:26
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huda wrote:
Previous percent increase is 33.3% so From 2004-2005; 162*33.3 = 5394.6 then divide it by 100 we get 53.946; adding this with 162 + 53.946 = 215.9460, this is the actual per-student profit whereas we take it as 216.
Now, my question is in the main/real GRE xm do I need to put the 215.94 or just by leveling 215.94 to 216 and then put 216 as an answer. ???


Be careful, an increase from 60 to 80 is a 1/3 increase.
1/3 = 33.3333333.....%
In your solution, you rounded 33.3333333.....% down to 33.3%
So, your final answer is a bit off.

If we stick with the fraction increase of 1/3, we need only find 1/3 of 162, which is exactly 54

So, our final answer = 162 + 54 = 216

Cheers,
Brent
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   17 Sep 2019, 05:29
GreenlightTestPrep wrote:
huda wrote:
Previous percent increase is 33.3% so From 2004-2005; 162*33.3 = 5394.6 then divide it by 100 we get 53.946; adding this with 162 + 53.946 = 215.9460, this is the actual per-student profit whereas we take it as 216.
Now, my question is in the main/real GRE xm do I need to put the 215.94 or just by leveling 215.94 to 216 and then put 216 as an answer. ???


Be careful, an increase from 60 to 80 is a 1/3 increase.
1/3 = 33.3333333.....%
In your solution, you rounded 33.3333333.....% down to 33.3%
So, your final answer is a bit off.

If we stick with the fraction increase of 1/3, we need only find 1/3 of 162, which is exactly 54

So, our final answer = 162 + 54 = 216

Cheers,
Brent


Many Many thanks :) :)
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   30 Oct 2019, 20:49
he percent increase from 2000 to 2001 is:

Percent Change =DifferenceOriginal×100%DifferenceOriginal×100%
Percent Change =2010×100%=33.333333%2010×100%=33.333333%

Now, apply a 33.33333%, or 1313, 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.
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Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   08 Sep 2021, 14:12
i still didnt understand why do we divide by 1/3 and then why is the result of 162/3 added to 162 again
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   09 Sep 2021, 00:25
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From \(2000\) to \(2001\), there is \(33.33\)% increase.

The same increase will be there for \(2004\) to \(2005\)

So, profit in 2005 will be \((1 + \frac{1}{3}) * 162 = 216\)

saad wrote:
i still didnt understand why do we divide by 1/3 and then why is the result of 162/3 added to 162 again
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   09 Sep 2021, 02:12
rx10 wrote:
From \(2000\) to \(2001\), there is \(33.33\)% increase.

The same increase will be there for \(2004\) to \(2005\)

So, profit in 2005 will be \((1 + \frac{1}{3}) * 162 = 216\)

saad wrote:
i still didnt understand why do we divide by 1/3 and then why is the result of 162/3 added to 162 again



dude i am so sorry but i still didnt understand why that (1 + (1/3))
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Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   09 Sep 2021, 03:14
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Sir,

It's a basic one. We need to find an increase.

Let's say we have a value of \(100\). Now if it increases by \(30\)% it will be calculated as \((1 + \frac{30}{100})*100 = 130\)

We have taken \((1 + \frac{1}{3})\) as the value increases by \(33\frac{1}{3}\)%, which is \(\frac{1}{3}\) increase.

saad wrote:
dude i am so sorry but i still didnt understand why that (1 + (1/3))
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   09 Sep 2021, 15:35
rx10 wrote:
Sir,

It's a basic one. We need to find an increase.

Let's say we have a value of \(100\). Now if it increases by \(30\)% it will be calculated as \((1 + \frac{30}{100})*100 = 130\)

We have taken \((1 + \frac{1}{3})\) as the value increases by \(33\frac{1}{3}\)%, which is \(\frac{1}{3}\) increase.

saad wrote:
dude i am so sorry but i still didnt understand why that (1 + (1/3))


okay but why specifically 30% and how did you get that 30%
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   09 Sep 2021, 19:22
It's just an example to make you understand.

saad wrote:
rx10 wrote:

Let's say we have a value of \(100\). Now if it increases by \(30\)% it will be calculated as \((1 + \frac{30}{100})*100 = 130\)


okay but why specifically 30% and how did you get that 30%
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Re: Profit Per Student (in Dollars) at Dan’s Dojo, [#permalink] New post   09 Sep 2021, 23:05
rx10 wrote:
It's just an example to make you understand.

saad wrote:
rx10 wrote:

Let's say we have a value of \(100\). Now if it increases by \(30\)% it will be calculated as \((1 + \frac{30}{100})*100 = 130\)


okay but why specifically 30% and how did you get that 30%


oh shit shit my bad i didnt realize it
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Re: Profit Per Student (in Dollars) at Dans Dojo, [#permalink] New post   17 Jul 2023, 12:22
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