# How many regular employees are there?

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A company has 21 employees consisting of regular workers, vice presidents and one president.
All of the employees chip in money for a charity drive.
Regular workers pay Rs 70 each, vice presidents pay Rs 170 each and the president pays Rs 300.
If the company collects Rs 2000 in all, how many regular employees are there?

posted Dec 26, 2018

17

If r- regular employee, v- vice president, p- president, then we have:
r+v+p=21 ------------> (1)
70r+170v+300p=2000 => 7r+17v+30p=200 ------------> (2)
(2)- 7*(1) => 10v+23p=53 ------------> (3)
It is obvious that v=3, p=1, then r=21-1-3=17

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