5% of all the candidates listed in an exam are absent. 80% of the appeared candidates passed. What percentage of all the listed candidates passed?

Let's denote the total number of candidates listed for the exam as \( T \).

Given information:
1. 5% of all candidates are absent.
2. 80% of the appeared candidates passed.

Now, let's calculate the number of candidates who appeared for the exam. The number of absent candidates is \( 0.05 \times T \), and the number of candidates who appeared is \( T - 0.05 \times T \).

The percentage of candidates who passed among those who appeared is \( 80\% \).

Now, let's find the total number of candidates who passed:

\[ \text{Total candidates passed} = 0.80 \times (T - 0.05 \times T) \]

To find the percentage of all listed candidates who passed, we need to express this as a percentage of the total listed candidates:

\[ \text{Percentage of candidates passed} = \left( \frac{\text{Total candidates passed}}{T} \right) \times 100 \]

Substitute the expression for total candidates passed:

\[ \text{Percentage of candidates passed} = \left( \frac{0.80 \times (T - 0.05 \times T)}{T} \right) \times 100 \]

Simplify the expression:

\[ \text{Percentage of candidates passed} = \left( \frac{0.80 \times (0.95 \times T)}{T} \right) \times 100 \]

Simplify further:

\[ \text{Percentage of candidates passed} = 0.76 \times 100 \]

\[ \text{Percentage of candidates passed} = 76\% \]

So, 76% of all the listed candidates passed the exam.

NurAlam

Hello there! I'm Nur Alam Miah, a passionate and Open-minded individual with a deep love for blog, article,writer. I believe that life is a continuous journey of learning and growth, and I embrace every opportunity to explore new avenues and expand my horizons. In terms of my professional background, I am a Blog Writer with a focus on writing improve. Throughout my career, I have learn unique blog article. I am dedicated to my work.facebooktwitter instagrampinteresttelegramwhatsapp

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