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# The average (arithmetic mean) salary in a firm increased by 20% after

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
The average (arithmetic mean) salary in a firm increased by 20% after  [#permalink]

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08 Jan 2018, 01:06
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:10) correct 33% (02:09) wrong based on 47 sessions

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The average (arithmetic mean) salary in a firm increased by 20% after a number of new employees were hired. How many people joined the firm?

(1) The average (arithmetic mean) salary for those who just joined the firm is 40% higher than the average of salaries in the firm before the new employees were hired.
(2) There were 10 people in the firm initially.

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examPAL Representative
Joined: 07 Dec 2017
Posts: 1153
Re: The average (arithmetic mean) salary in a firm increased by 20% after  [#permalink]

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08 Jan 2018, 01:38
Bunuel wrote:
The average (arithmetic mean) salary in a firm increased by 20% after a number of new employees were hired. How many people joined the firm?

(1) The average (arithmetic mean) salary for those who just joined the firm is 40% higher than the average of salaries in the firm before the new employees were hired.
(2) There were 10 people in the firm initially.

To calculate the number of new people we need a baseline number and a ratio of old:new.
We'll look for statements that give us this information, a Logical approach.

(1) This gives us a ratio of old:new salaries but no number.
Insufficient!

(2) This gives us the original number but because we don't the salary of the newcomers it does not give us a ratio.
Insufficient.

Combined: (1) gives us a ratio and (2) gives us a baseline number.
Sufficient!

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Re: The average (arithmetic mean) salary in a firm increased by 20% after   [#permalink] 08 Jan 2018, 01:38
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