The pie chart given below shows the number of car sold by 8 different companies. The total number of car sold by all these 8 companies are 5,000. Number of cars sold by a particular company is shown as a percent of total number of cars sold by all these 8 companies.

SSC Himanshu Akash 24.04.2023 G2

What is the ratio of total central angle formed by sector R and S to the total central angle formed by sector U and V?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
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  1. 1 ∶ 4
  2. 2 ∶ 1
  3. 1 ∶ 2
  4. 3 ∶ 1

Answer (Detailed Solution Below)

Option 2 : 2 ∶ 1
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Detailed Solution

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Calculation:

According to the question:

⇒ 100% = 360° 

⇒ 1 % = 3.6° 

The central angle formed by sector R = 17% = 17 × 3.6 = 61.2° 

The central angle formed by sector S = 13% = 13 × 3.6 = 46.8° 

The central angle formed by sector U = 6% = 6 × 3.6 = 21.6° 

The central angle formed by sector V = 9% = 9 × 3.6 = 32.4°

Total central angle formed by sector R and S : Total central angle formed by sector U and V

⇒ (R + S) : (U + V) = (61.2° + 46.8°) : (21.6° + 32.4°)

⇒ (R + S) : (U + V) = 108 : 54 = 2 : 1

∴ The correct answer is 2 : 1.

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