In a company, 35% of employees are from a science background and
5
1
​

th
are from an arts background. The rest are either illiterate or with a commerce background. The number of illiterate is 300 which is
2
1
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of the commerce background. How many employees are from science or arts background?

Let the total number of employees in the company be x.
Science Background: 35% of x=0.35x

Arts Background:
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of x=20% of x=0.20x
Combined Science and Arts background =0.35x+0.20x=0.55x=55% of x.

The remaining portion of employees =100%−55%=45% of x.

According to the question, the remaining employees are either illiterate or from a commerce background.

Number of illiterate employees =300

This is
2
1
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of the commerce background ⟹Commerce Employees=300×2=600.

Total number of remaining employees =300+600=900.

Since this represents 45% of the total employees:

45% of x=900
100
45
​
x=900⟹x=
45
900×100
​
=2000
The number of employees from a science or arts background (55% of x):

Required Employees=55% of 2000=
100
55
​
×2000=1100