The average monthly salary of the workers in a workshop is Rs 8500. if the average monthly salary of 7 technicians is Rs 10, 000 and the average monthly salary of the rest is Rs 7800, the total number of workers in the workshop is

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Solution

The correct option is C 22
Let the total number of workers in the workshop be x.
Then, number of other workers (besides technicians) = (x - 7)
Given, (x - 7) x 7800 + 7 x 10000 = 8500x
$\Rightarrow$ 7800x - 54600 + 7000 = 8500x
$\Rightarrow$ 700x = 15400 $\Rightarrow$ x = $\frac{15400}{700} \Rightarrow x = 22$

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The average monthly salary of the workers in a workshop is Rs 8500. if the average monthly salary of 7 technicians is Rs 10, 000 and the average monthly salary of the rest is Rs 7800, the total number of workers in the workshop is

The correct option is C 22Let the total number of workers in the workshop be x.Then, number of other workers (besides technicians) = (x - 7)Given, (x - 7) x 7800 + 7 x 10000 = 8500x⇒ 7800x - 54600 + 7000 = 8500x⇒ 700x = 15400 ⇒ x = 15400700⇒x=22