To solve the problem:

Problem

We are told:

• 94% of the candidates passed.
• 48 candidates failed.

We need to determine the total number of candidates who appeared for the examination.

Solution

1. Let the total number of candidates be $x$.
2. Then, the number of candidates who passed is $0.94x$.
3. The number of candidates who failed is $x - 0.94x = 0.06x$.
4. According to the problem, $0.06x = 48$.
5. Solve for $x$: $x = \frac{48}{0.06} = 800$

Answer

The total number of candidates who appeared for the examination is 800.

Let me know if you'd like a detailed breakdown or further clarifications.

Here are 5 questions to expand your understanding:

1. If 75% of the candidates passed, how many failed in an exam with 800 candidates?
2. What percentage of candidates failed in this case?
3. How would the result change if 60 candidates failed instead of 48?
4. Can you calculate the number of passing candidates given the total and failure rate?
5. How would you determine the percentage of failures if the total candidates and failures are known?

Tip: Always verify your calculations by substituting the result back into the original problem for accuracy.