Question

270 candidates appeared for an examination, of which 252 passed. The pass percentage is?
A) \[80\% \]
B) \[83\dfrac{1}{2}\% \]
C) \[90\dfrac{1}{3}\% \]
D) \[93\dfrac{1}{3}\% \]

Answer 1

Hint:
Here, we have to calculate the pass percentage of the candidates who have appeared for an examination. We will find the pass percentage using the Percentage formula. A percentage is a number or ratio that represents a fraction of 100.

Formula Used:
Percentage can be calculated by the formula Percentage\[ = \dfrac{x}{n} \times 100\% \] where \[x\] is the value of which whose percentage is to be calculated and \[n\] is the total number of values.

Complete step by step solution:
Total number of candidates appeared for an examination\[ = \]270
Number of candidates who have passed the examination\[ = \]252
Now, we have to calculate the pass percentage of the candidates.
Percentage\[ = \dfrac{x}{n} \times 100\]
\[ \Rightarrow \] Pass percentage of the candidates\[ = \dfrac{{252}}{{270}} \times 100\]
By simplification, we will get
\[ \Rightarrow \] Pass percentage of the candidates\[ = \dfrac{{280}}{3}\% \]
We know that the percentage can be either in decimal form or in fraction form. So, the improper fraction we obtained to its simplest form in mixed fraction.
By converting Improper fraction to mixed fraction, we will get
\[ \Rightarrow \] Pass percentage of the candidates\[ = 93\dfrac{1}{3}\% \]

Therefore, the pass percentage of the candidates who have appeared for an examination is \[93\dfrac{1}{3}\% \].

Note:
We should know that the improper fraction can be converted to mixed fraction by dividing the numerator by the denominator. Then we have to write the whole number. Then we have to write the remainder above the denominator where the denominator remains the same. The percentage can also be represented in decimal form.
So, the pass percentage of the candidates who have appeared for an examination would be 93.33% too.