Question

In an examination 30% of the students failed in maths, 40% failed in science and 25% failed in both the subjects. If 220 passed in both the subjects. Find the number of students appeared in the examination the subjects.

Answer 1

Please see the attachment

Answer 2

The number of students appeared in the examination the subjects is 400

Solution:

Given that,

30% of the students failed in maths

40% failed in science

25% failed in both the subjects

Then,

Total failed = 30 + 40 - 25 = 45 %

Then,

Passed = 100 % - 45 % = 55 %

Given,

220 passed in both the subjects

Let "x" be the number of students appeared in the examination the subjects

Thus,

55 % = 220

100 % = x

Then,

$55 \times x = 220 \times 100 \\\\x = 400$

Thus number of students appeared in the examination the subjects is 400

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