Question

un In a company 20% workers opted pension and 60% workers opted provident fund and the rest were uncertain. the difference between the provident fund oriented workers and uncertain workers is 1600, then how many workers are in

company?​

Answer 1

Answer:

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4000

Step-by-step explanation:

$percentage \: of \: workers \: opting \: pension = 20\%$

$percentage \: of \: workers \: opting \:provident \: fund = 60\%$

$remaining \: percentage =100\% - (20\% + 60\%)$

$= 100\% - 80\%$

$= 20\%$

Therefore, percentage of uncertain workers is 20%.

Now, moving to the second part-

Given that, difference of provident fund orienting workers and uncertain workers is 1600.

Therefore, we get

$60\% - 20\% = 1600$

$40\% = 1600$

40% of the total no. of workers is 1600.

$\frac{40}{100} x = 1600$

Let the total number of workers in the factory be x

$40x = 1600 \times 100$

$40x = 160000$

$x = \frac{160000}{40}$

$x = 4000$

Therefore, the total number of workers in the factory is 4000.