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

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

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New post 09 Dec 2014, 14:24
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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.

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

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New post 09 Dec 2014, 20:10
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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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Re: A certain company paid bonuses of $125 to each of its executive employ  [#permalink]

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

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

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New post 08 Oct 2018, 20:13
LoneSurvivor wrote:
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


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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: A certain company paid bonuses of $125 to each of its executive employ   [#permalink] 08 Oct 2018, 20:13
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