Question

4)
In an examination 92% of the candidates passed. If the number of candidates who
failed is 400. Find the total number of candidates who appeared in the
examination.​

Answer 1

Solution:

Question is based on percentage and its application. We have the percentage of passed candidates and no. of failed ones. We have to find the total.

Given:

• Percentage of passed candidates = 92%
• Number of failed candidates = 400

We have to find the total number of candidates appeared in the examination.

According to given data, No. of failed candidates:

➝ 100% - 92%

➝ 8%

But, 8% of the total are failed candidates whose number is 400. Then let's consider the total no. be x

➝ $\sf{8\% \: of \: x = 400}$

This is equals to,

➝ $\sf{\dfrac{8x}{100} = 400}$

We have to find x, So let's isolate x in the LHS by desired transferring of other numbers.

➝ $\sf{x = \dfrac{400 \times 100}{8} }$

➝ $\sf{x = 5000}$

Hence, the total number of candidates in the school is $\boxed{\sf{5000}}$ (Answer).....