Question

In an examination 96% of candidates passed and 50 failed. How many candidates
appeared for the exam?

Answer 1

Solution :

Let us assume that a total of x candidates gave the exam .

Now, 96% of the candidates passed and 50 failed .

Percentage of candidates who failed :

> x - 96% of x

> 100% of x - 96% of x

> 4% of x .

But , it is mentioned that 50 candidates failed .

So ,

> 4% of x = 50

> 4/100 x = 50

> 4x = 5000

> x = 1250

Thus, a total of 1250 candidates attempted the exam .

This is the required answer.

_________________________________________

Answer 2

Answer:

Given :-

• In an examination hall 96% of candidates passed and 50 failed.

To Find :-

• How many candidates appeared for the exam.

Solution :-

Let, the number of candidates prepared for the exam be x

Number of candidates failed = 50

And, the percentage of candidates passed = 96%

Then, number of candidates failed = 100% - 96% = 4%

According to the question,

⇒ 4/100 × x = 50

⇒ x = 50 × 100/4

⇒ x = 5000/4

➠ x = 1250

∴ The number of candidates prepared for the exam is 1250.

VERIFICATION :-

↦ 4/100 × x = 50

By putting x = 1250 we get,

↦ 4/100 × 1250 = 50

↦ 1250 = 50 × 100/4

↦ 1250 = 5000/4

↦ 1250 = 1250

➦ LHS = RHS

Hence, Verified ✔