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GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

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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

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?

30
72
60
35

Solution:

In 2010,

Total employees

=600

P=0.2 \times 600=120

Q=0.25 \times 600=150

R=0.25 \times 600=150

S=0.25 \times 600=150

T=0.05 \times 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

in

2016=120+150+150=420

S increased by

40 \%=0.4 \times 150=60

Total S employees in

2016=150+60=210

Therefore,

T

in

2016=690-(420+210)=60

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