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During a three-year period, the profits of company X changed by what

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During a three-year period, the profits of company X changed by what  [#permalink]

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Project DS Butler: Day 35: Data Sufficiency (DS69)


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During a three-year period, the profits of company X changed by what percent from the second year to the third year?

(1) The increase in profits of company X from the first year to the second year was the same as the increase form the first year to the third year.
(2) For company X, the profits for the first year were $13,800 and the profits for the third year were $15,900

Originally posted by rxs0005 on 15 Feb 2011, 08:16.
Last edited by gmatbusters on 10 Dec 2018, 07:07, edited 1 time in total.
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Re: During a three-year period, the profits of company X changed by what  [#permalink]

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New post 18 Nov 2013, 02:39
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During a three-year period, the profits of company X changed by what percent from the second year to the third year?


(1) The increase in profits of company X from the first year to the second year was the same as the increase form the first year to the third year. Since the increase in profits from 1st year to the 2nd year was the same as the increase from the 1st year to the 3rd year then there was not any increase in profits from the 2nd year to the 3rd year, which means 0% increase from the 2nd year to the 3rd year. Thus, this statement implies that there was no increase from the second year to the third year. Sufficient.


(2) For company X, the profits for the first year were $13,800 and the profits for the third year were $15,900. We need the profits for the second year. Not sufficient.

Answer: A.
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Re: During a three-year period, the profits of company X changed by what  [#permalink]

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New post 01 Jan 2016, 06:18
rxs0005 wrote:
During a 3 year period, the profits of company X changed by what percent form the second year to the third year

(1) The increase in profits of company X from first year to the second year was the same as the increase from the first year to the third year
(2) For company X the profits for first year = 13000$ and for 3rd year = 15900$


let's start with statement (2): It's clearly not sufficient, as we don't have any information about the 2nd year.
(1) This one is tricky. Either you solve this one conceptually (see the solution provided by Bunuel) or using algebra:

Profits
1st year=x
2md year = y
3rd year = z

Percent change
1st - 2nd year:\(\frac{y-x}{x}\)
1st - 3rd year:\(\frac{z-x}{x}\)
And both changes are equal:\(\frac{y-x}{x}=\frac{z-x}{x}\), just do the required manipualtions and you'll get y=z, hence 0% change Sufficient
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Re: During a three-year period, the profits of company X changed by what  [#permalink]

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New post 21 Feb 2017, 19:29
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frcbayog wrote:
During a three-year period, the profits of company X changed by what percent from the second year to the third year?

(1) The increase in profits of company X from the first year to the second year was the same as the increase from the first year to the third year.
(2) For company X, the profits for the first year were $13,800 and the profits for the third year were $15,900.


Hi,

We are looking for increase in profit from 2nd to 3rd year..

Let's see the statements...

(1) The increase in profits of company X from the first year to the second year was the same as the increase from the first year to the third year.
This means there has been no increase in profit from 2nd to 3rd year..
Say if 1st yr it was 2000, 2nd yr it went upto 2200 and third year too it remained 2200...
Hence sufficient

(2) For company X, the profits for the first year were $13,800 and the profits for the third year were $15,900.[/quote]
Nothing about 2nd year.
Insufficient

A
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Re: During a three-year period, the profits of company X changed by what  [#permalink]

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New post 18 Mar 2018, 19:44
Got this right. but it looks more like a CR thing than quant. can we really expect this type of question on the test?
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Re: During a three-year period, the profits of company X changed by what  [#permalink]

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New post 18 Mar 2018, 21:42
krish76 wrote:
Got this right. but it looks more like a CR thing than quant. can we really expect this type of question on the test?


Hello

Yes its possible. As per the website, GMAT quant section tests "...your ability to analyse data and draw conclusions using reasoning skills".

Also, "The GMAT exam measures the test taker's ability to assess higher-order reasoning skills (verbal, quantitative, analytical writing and integrated reasoning)..."

There is a possibility that a question might just need reasoning/logic and no calculation at all.
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Re: During a three-year period, the profits of company X changed by what  [#permalink]

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New post 24 Dec 2018, 22:47
rxs0005 wrote:

Project DS Butler: Day 35: Data Sufficiency (DS69)


For DS butler Questions Click Here


During a three-year period, the profits of company X changed by what percent from the second year to the third year?

(1) The increase in profits of company X from the first year to the second year was the same as the increase form the first year to the third year.
(2) For company X, the profits for the first year were $13,800 and the profits for the third year were $15,900


We are looking for the % change from 2nd year to 3rd year.

Let's assign some variables:

F = first year;
S = second year;
T = third year;

% change from S -> T is the same as (T - S)/S

Statement 1:
% change from F->S is the same as F->T

F->S = (S-F)/F
F->T = (T-F)/F

Setting these two equal to each other: we get S = T, thus percent change is 0

Statement 2: We are not given the profits of S, thus it is INSUFF

Answer: A
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Re: During a three-year period, the profits of company X changed by what &nbs [#permalink] 24 Dec 2018, 22:47
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