Question

In an examination, 30% and 35% student's respectively failed in History and Geography with 27% students failed in both the subjects. If the number of students passing the examination is 248 find the total number of students who appeared the examination.

• A. 425
• B. 380
• C. 400
• D. None of these

Answer 1

The correct option is C 400

Percentage of students passing the examination

$=(100-(30+35-27\left)\right)\%$

[Here, x = 30, y = 35 and z = 27]

$=(100-38)\%=62$

Let the total number of students appearing in examination x.

Given : 62% of x = 248

or,

$\frac{62}{100}\times x=248orx=\frac{248\times 100}{62}=400$

Therefore, 400 students appeared in examination.