Question

Tick (✓) the correct answer:
In an examination, 65% of the total examinees passed. If the number of failures is 420, the total number of examinees is
(a) 500
(b) 1000
(c) 1200
(d) 1625

Answer 1

(c) 1200

$$\begin{gathered} \mathrm{Let}x\mathrm{be}\mathrm{the}\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{examinees}. \\ \mathrm{Percentage}\mathrm{of}\mathrm{the}\mathrm{examinees}\mathrm{passed}=65\% \\ \mathrm{Percentage}\mathrm{of}\mathrm{the}\mathrm{examinees}\mathrm{failed}=35\% \\ \mathrm{Number}\mathrm{of}\mathrm{the}\mathrm{examinees}\mathrm{failed}=\left(35\%\mathrm{of}\mathrm{x}\right) \end{gathered}$$
$$\begin{gathered} =\left(x\times \frac{35}{100}\right) \\ =\frac{35x}{100} \end{gathered}$$
$$\begin{gathered} \mathrm{Now},\frac{35\mathrm{x}}{100}=420 \\ \Rightarrow x=\left(420\times \frac{100}{35}\right) \\ \Rightarrow x=1200 \end{gathered}$$