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.

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°

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Maharashtra State BoardSSC (English Medium) 10th Standard

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A survey was conducted in the school. Students using different modes of transport are given below: Mode of Transport Bicycle, Bus, Railway, Rickshaw Percentage of Students 35, a, 2a, 20 - Algebra Mathematics 1

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.

Diagram

Sum

Solution

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°