The amount of work in a leather factory is increased by $50 %$ . By what percent is it necessary to increase the number of workers to complete the new amount of work in previously planned time, if the productivity of the new labour is $25 %$ more.

60 %

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66 \frac{2}{3} %

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40 %

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33 \frac{1}{3} %

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Solution

The correct option is C $40 %$
Let the number of workers are 100
$M a n \times T i m e = W o r k$
$100 \times 1 = 100$ unit work
$150 \times 1 = 150$ unit work
Extra man power = 50
But since, new workers are $\frac{5}{4}$ time as efficient as existing workers.
Thus,
Actual no. of workers = $\frac{50}{\frac{5}{4}} = 40$ workers
% required = $\frac{40}{100} \times 100 = 40$ %

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The amount of work in a leather factory is increased by 50%. By what percent is it necessary to increase the number of workers to complete the new amount of work in previously planned time, if the productivity of the new labour is 25% more.

The correct option is C 40%Let the number of workers are 100Man×Time=Work100×1=100 unit work150×1=150 unit workExtra man power = 50But since, new workers are 54 time as efficient as existing workers.Thus,Actual no. of workers = 5054=40 workers% required = 40100×100=40%

The amount of work in a leather factory is increased by $50 %$ . By what percent is it necessary to increase the number of workers to complete the new amount of work in previously planned time, if the productivity of the new labour is $25 %$ more.