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

Question

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.

LoneSurvivor · Accepted Answer

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

JJo · Answer

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)

DangerPenguin · Answer

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!

Bunuel · Answer

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

goncalogomes2000 · Answer

We can't assume any information. They say that "100 of the employees were nonexecutives". But they don't say that the number of nonexecutives that work on the company is 100....

Can't understand why is D

Vibhatu · Answer

Bunuel  You should put this information into the question, that "All employees can be divided in two categories"

Bunuel · Answer

No need. The statement "all employees can be classified as either executives or non-executives" is a logical and obvious categorization of  any  group of employees. We can divide any group into two distinct groups: those that possess a certain quality, and those that do not. For instance, all objects can be classified into two groups by color: black and NOT black. It should also be noted that this is an official question and it's as clear and unambiguous as it gets.

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

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GMAT Data Sufficiency (DS) Questions

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

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