The amount of work in a steel plant 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 and old labours work with their initial productivity

Option 1 -

60%

Option 2 -

66.66%

Option 3 -

40%  

Option 4 -

33.33%

0 21 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    a month ago
    Correct Option - 3


    Detailed Solution:

    Let the number of men be 100.

    Then, Men × Time = Work

    100 × 1 = 100 unit

    Amount of work increased by 50%.

    So, New work = 150 unit

    as the planned time remains same i.e. 1

    Then men required will be 150 i.e., 50 more workers but since new workers are 25% more efficient i.e. 54 times efficient as existing workers.

     Actual number of workers = 505/4 = 40 men

     Required percent = 40100×100 = 40%

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