Question

In an exam 75 of the candidate passed in commerce, 70 of candidates passed in maths while 20 failed in bath the subjects. If 260 candidates passed in both the subjects,fmd the total number of candidates.​

Answer 1

Answer:

Failures in English =>100-70=30

Failures in maths =>100-65=35

Failures in both subjects =>27

Failures in one or both subjects = 100-38=62%

let the total students be x,

xX62100=248

=>x=248X10062=400

Answer 2

400 is the total number of candidates

Solution:

Given that,

75 % of the candidate passed in commerce

Therefore,

Failures in commerce = 100 % - 75 % = 25 %

70 % of candidates passed in maths

Failures in maths = 100 % - 70 % = 30 %

20 % failed in both the subjects

Therefore,

Failed only in commerce = 25 % - 20 % = 5 %

Failed only in maths = 30 % - 20 % = 10 %

Percentage of passed students in both subject = 100 - (5 + 10 + 20)

Percentage of passed students in both subject = 100 -  35 = 65 %

260 candidates passed in both the subjects

Let "x" be the total number of candidates

Therefore,

65 % of total students = 260

65 % of x = 260

$\frac{65}{100} \times x = 260$

0.65x = 260

x = 400

Thus 400 is the total number of candidates

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