Question

In an examination, $40\%$ of the candidates wrote their answer in Hindi and the others in English. The average marks of the candidates written in Hindi is $74$ and the average marks of the candidates written in English is $77$. What is the average marks of all the candidates?

• A. $75.5$
• B. $75.8$
• C. $76.0$
• D. $76.8$

Answer 1

The correct option is B $75.8$

Let there be $100$ students who took the examination.
The number of students who wrote answers in Hindi and in English are thus $40$ and $60$ respectively.
Therefore, average marks of all the candidates
$=(40\times 74+60\times 77)÷100$
$=7580÷100=75.8$