GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

Question : 6 of 65

Marks: +1, -0

A firm hires employees at five different skill levels

{P}, {Q}, {R}, {S}, {T}

. The shares of employment at these skill levels of total employment in 2010 is given in the pie chart as shown. There were a total of 600 employees in 2010 and the total employment increased by

15 \%

from 2010 to 2016 . The total employment at skill levels

{P}, {Q}

and

{R}

remained unchanged during this period. If the employment at skill level S increased by

40 \%

from 2010 to 2016 , how many employees were there at skill level T in 2016?

Validate

Solution:

In 2010,
Total employees

=600

{P}=0.2 × 600=120

{Q}=0.25 × 600=150

{R}=0.25 × 600=150

{S}=0.25 × 600=150

{T}=0.05 × 600=30

Employees increased in

2016=15 \%=90

Total employees in

2016=600+90=690

{P}, {Q}

and

{R}

remained unchanged, so total of

{P}, {Q}

and

{R}

2016=120+150+150=420

S increased by

40 \%=0.4 × 150=60

Total S employees in

2016=150+60=210

Therefore,

T

2016=690-(420+210)=60

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