Question

In an examination 86 % of the candidates passed and 224 failed. How many candidates appeared for the exam ?

• A. 800
• B. 1540
• C. 1600
• D. 3136

Answer 1

Answer:

C. 1600

The total number of candidates who appeared for the exam is 1600.

Step-by-Step Calculation

1. Find the failure percentage:

   • Total candidates = $100\%$

   • Passed candidates = $86\%$

   • Failed candidates = $100\% - 86\% = \mathbf{14\%}$

2. Set up the equation:

   • We are given that $14\%$ of the total candidates equals $224$.

   • Let the total number of candidates be $x$.
     $\frac{14}{100} \times x = 224$

3. Solve for $x$:
   $x = \frac{224 \times 100}{14}$

4. $x = 16 \times 100 = \mathbf{1600}$