Question

In an examination 5% of the candidates were found ineligible and 85% of The Eligible candidates belongs to general category. If 4275 people belonged to other categories, then how many applied for the examination in total.?

Answer 1

Answer:

30,000 candidates applied for the examination,.

Step-by-step explanation:

Given :

    In an examination 5% of the candidates were found ineligible,  and 85% of The Eligible candidates belongs to general category.  4275 people belonged to other categories,..

To Find :

The total number of candidates who applied for the examination,.

Solution :

Let the total number of candidates who applied for the examination be x,

By dividing the given data into statements for our simplicity,.

Statement 1 :

   In an examination 5% of the candidates were found ineligible.

⇒ 5% of x were ineligible = $\frac{5}{100}x$

⇒ (100 - 5)% of x were eligible = $\frac{95}{100}x$

Statement 2 :

    85% of The Eligible candidates belongs to general category.

⇒ $(\frac{95}{100}x) \times \frac{85}{100}$ were of general category,.

Statement 3 :

   4275 people belonged to other categories,.

⇒ $4275 = (\frac{95}{100}x) \times \frac{100 - 85}{100}$

⇒ $4275 = (\frac{95}{100}x) \times \frac{15}{100}$

⇒ $4275 = \frac{95 \times 15}{100 \times 100}x$

⇒ $4275 = \frac{1425}{10000}x$

⇒ $x = \frac{4275 \times 10000}{1425} = 30,000$

∴ 30,000 candidates applied for the examination,.