Question

The amount of work to be done by a
company is increased by 80%. By what
percentage is it necessary to increase the number
of workers so as to complete the revised work in
the same time as before, if the additional workers
are 60% more efficient than the existing ones?
(a) 75% (b) 60%
(C) 50%
(d) Cannot be determined
(e) None of these​

Answer 1

||✪✪ QUESTION ✪✪||

The amount of work to be done by a company is increased by 80%. By what percentage is it necessary to increase the number of workers so as to complete the revised work in the same time as before, if the additional workers are 60% more efficient than the existing ones?

(a) 75%

(b) 60%

(C) 50%

(d) Cannot be determined

(e) None of these

|| ✰✰ ANSWER ✰✰ ||

Lets Assume That, Initial Total workers were 100, and They complete The work in 1 day.

Than,

→ Total workers * Total day = Total Amount of work .

→ 100 * 1 = 100 units.

Now, Given That, The Total work is increased by 80% .

So,

→ New Total work = (100 * 180)/100 = 180 units.

Now, This work has to be done in same time as before. That means in 1 day only.

So ,

→ Number of workers Required = (180/1) = 180 workers. (With Initial Efficiency).

→ Extra workers Required = 180 - 100 = 80 workers.

_________________________

Now, we have Given That, the additional workers are 60% more efficient than the existing ones .

That Means, we can say That,

→ Ratio of Initial workers efficiency : Ratio of additional workers Efficiency = 100 : 160 = 5 : 8 .

So, we can conclude That, The Additional workers are (8/5) Times more efficient than the existing ones..

_______________________

So,

→ Actual Number of workers = 80 / (8/5) = 80 * (5/8) = 50 workers.

→ Required % = (50 * 100) / 100 = 50% (Ans). (Option C).

Answer 2

Option C is correct......