Question

A survey was conducted in the school. Students using different modes of transport are given below:

Mode of Transport	Percentage of Students
Bicycle	35
Bus	a
Railway	2a
Rickshaw	20

Find the value of a and draw the Pie diagram.

Answer 1

Sum of all percentages = 100%

35 + a + 2a + 20 = 100

55 + 3a = 100

3a = 100 − 55

3a = 45

a = `45/3`

a = 15

The percentage for Bus is 15%

The percentage for the railway = 2 × 15

= 30%

Mode of Transport	Percentage of Students	Percentage of students preferring transport type	Central Angle
Bicycle	35	`35/100 xx 360°`	126°
Bus	15	`15/100 xx 360°`	54°
Railway	30	`30/100 xx 360°`	108°
Rickshaw	20	`20/100 xx 360°`	72
Total	100		360°