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Last year, department A earned 35% more than department B did.

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Last year, department A earned 35% more than department B did.  [#permalink]

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New post 26 Feb 2016, 02:29
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Last year, department A earned 35% more than department B did. Is department A's earnings this year higher than department B's last year's earnings?

(1) Department B earned $1,002,035 last year

(2) Department A earned 35% less this year than it did last year
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Re: Last year, department A earned 35% more than department B did.  [#permalink]

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New post 26 Feb 2016, 04:59
n2223 wrote:
Last year, department A earned 35% more than department B did. Is department A's earnings this year higher than department B's last year's earnings?

(1) Department B earned $1,002,035 last year

(2) Department A earned 35% less this year than it did last year


Given: Last year Department A earned 35% more than department B
Assume Earning of Department B last year = 100x
Therefore earning of Deprtment A last year = 135x

Required: Is department A's earnings this year higher than department B's last year's earnings

Statement 1: Department B earned $1,002,035 last year
Nothing can be said about Department A's earning this year.
INSUFFICIENT

Statement 2: Department A earned 35% less this year than it did last year
Earning of Department A this year = 0.65*135x = 87.75x
This is clearly less than the earning of Department B last year.
SUFFICIENT

Option B
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Re: Last year, department A earned 35% more than department B did.  [#permalink]

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New post 28 Feb 2016, 18:04
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Last year, department A earned 35% more than department B did. Is department A's earnings this year higher than department B's last year's earnings?

(1) Department B earned $1,002,035 last year

(2) Department A earned 35% less this year than it did last year


When you modify the original condition, this question is frequently given on GMAT Math, which is "2 by 2" question like the table below.
Attachment:
GCDS  n2223    Last year, department A earned 35 (20160227).jpg
GCDS n2223 Last year, department A earned 35 (20160227).jpg [ 23.39 KiB | Viewed 1758 times ]

When you modify the original condition and the question above, they become b>c?. For 2), b>1.35c>c, which is always yes and sufficient.
Thus, B is the answer.


-> Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
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Re: Last year, department A earned 35% more than department B did.  [#permalink]

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New post 12 Apr 2016, 14:43
Answer is straightforward option B as we don't get any information from statement 1 B's earning from last year but we get information from statement 2 about A's earning this year
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Re: Last year, department A earned 35% more than department B did.  [#permalink]

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New post 16 Feb 2019, 18:40
Hello from the GMAT Club BumpBot!

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Re: Last year, department A earned 35% more than department B did.   [#permalink] 16 Feb 2019, 18:40
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