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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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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The question will specify if the value must be rounded or you have to insert the exact value.

Regards
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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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Many Many thanks
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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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i still didnt understand why do we divide by 1/3 and then why is the result of 162/3 added to 162 again

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 \((1 + \frac{1}{3}) * 162 = 216\)


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

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.


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

It's just an example to make you understand.


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oh shit shit my bad i didnt realize it