A certain company paid bonuses of $125 to each of its executive employ : Data Sufficiency (DS)

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A certain company paid bonuses of $125 to each of its executive employ

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Math Expert

Joined: 02 Sep 2009

Posts: 53067

A certain company paid bonuses of $125 to each of its executive employ [#permalink]

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09 Dec 2014, 14:24

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Difficulty:

5% (low)

Question Stats:

83% (00:59) correct

18% (01:31) wrong

based on 111 sessions

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Project DS Butler: Day 26: Data Sufficiency (DS51)

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Tough and Tricky questions: Word Problems.

A certain company paid bonuses of $125 to each of its executive employees and $75 to each of its nonexecutive employees. If 100 of the employees were nonexecutives, how many were executives?

(1) The company has a total of 120 employees.
(2) The total amount that the company paid in bonuses to its employees was $10.000.

Kudos for a correct solution.

Spoiler: OA

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Joined: 08 Jul 2012

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Re: A certain company paid bonuses of $125 to each of its executive employ [#permalink]

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09 Dec 2014, 20:10

A certain company paid bonuses of $125 to each of its executive employees and $75 to each of its nonexecutive employees. If 100 of the employees were nonexecutives, how many were executives?

Let x be the no. of executives, so company paid x*125 & 100*75
(1) The company has a total of 120 employees --> 100 are non exec. so x=20....sufficient
(2) The total amount that the company paid in bonuses to its employees was $10.000 --> x*125 + 100*75 = 10000......sufficient

Ans. D)
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Joined: 10 Sep 2014

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Re: A certain company paid bonuses of $125 to each of its executive employ [#permalink]

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10 Dec 2014, 08:12

statement 1: sufficient
tells us that there are 20 executives since we already know that there are 100 non executives

statement 2: sufficient
since we already know that there are 100 non executives, we know that $75 x 100 = $7500.
$10,000 - $7,500 = $2500. Divide by $125 (executive price) to get the answer

Answer D!

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Joined: 23 Nov 2016

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Re: A certain company paid bonuses of $125 to each of its executive employ [#permalink]

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08 Oct 2018, 17:56

Here we are mistakenly assuming that company only consisting of Executive and Non Executive,what if company consists of other category employee that is not explicitly mentioned here. Statement 1 is not sufficient. Statement 2 is sufficient because we know the bonus

Math Expert

Joined: 02 Sep 2009

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Re: A certain company paid bonuses of $125 to each of its executive employ [#permalink]

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08 Oct 2018, 20:13

LoneSurvivor wrote:

All employees can be divided in two categories, those who are executives and those who are not. Those two categories add up to 100%.
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