Question

The pie chart below depicts the results of a survey conducted to identify the favourite juice of some students.

How many students like mango juice, if the strength of the school is 720?

• A. 150
• B. 180
• C. 120
• D. 145

Answer 1

The correct option is A 150

Given: Total number of students = 720
In the pie chart given, the sector of angle ${75}^{\circ }$ corresponds to those students who like mango juice.

Here, ${360}^{\circ }$ corresponds to the total strength of the school which is 720.
$\Rightarrow$ The number of students corresponding to $1^{\circ }$ of the circle= $\frac{{720}^{\circ }}{{360}^{\circ }}$ = 2
$\Rightarrow$ The number of students corresponding to ${75}^{\circ }$ of the circle = $2\times 75$ = 150
$\therefore$ 150 students like mango juices.