A company has both permanent and contract employees. 75% of them are skilled workers and the remaining are unskilled workers. If 70% of the skilled workers and 40% of the unskilled workers are permanent employees and the total number of contract employees is 315, find the total number of employees in the company.

840

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360

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630

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480

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None of the above

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Solution

The correct option is A 840
Let the total number of employees be = x
Then, skilled workers = 75% of x=0.75x
Unskilled workers = 25% of x=0.25x
Contract employees $= 0.3 \times 0.75 x + 0.6 \times 0.25 = 0.375 x = 315$
$\Rightarrow$ Total number of employees, $x = \frac{315}{0.375} = 840$

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The correct option is A 840Let the total number of employees be = x Then, skilled workers = 75% of x=0.75x Unskilled workers = 25% of x=0.25x Contract employees =0.3×0.75x+0.6×0.25=0.375x=315 ⇒ Total number of employees, x=3150.375=840

The correct option is A 840
Let the total number of employees be = x
Then, skilled workers = 75% of x=0.75x
Unskilled workers = 25% of x=0.25x
Contract employees $= 0.3 \times 0.75 x + 0.6 \times 0.25 = 0.375 x = 315$
$\Rightarrow$ Total number of employees, $x = \frac{315}{0.375} = 840$