The pie chart given below shows the number of boys in 8 schools. The total number of boys in all these 8 school is 10,000. Number of boys in a particular school is shown as a percent of total number of boys in all these 8 schools.

What is the ratio of total central angle formed by sector C, D and F to the total central angle formed by sector A, G and H?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 4)

Answer 1

Given:

Sector C = 12%

Sector D = 2%

Sector F = 6%

Sector A = 19%

Sector G = 14%

Sector H = 10%

Formula used:

Angle= \({percent\: of \:sector\over 100}\) × 360

Calculation:

Angle of following sectors:

C = \({12\over100}\) × 360 = 43.2

D = \({2\over100}\) × 360 = 7.2

F = \({6\over100}\) × 360 = 21.6

Total= 72

A = \({19\over100}\) × 360 = 68.4

G = \({14\over100}\) × 360 = 50.4

H = \({10\over100}\) × 360 = 36

Total= 154.8

Ratio= 72:154.8 = 20:43

∴ The ratio of total central angle formed by sector C, D and F to the total central angle formed by sector A, G and H is 20:43.