Comprehension

Study the following Pie Charts:

On an average, how many persons live in every pucca house?

This question was previously asked in
UPSC CDS-I 2025 (Elementary Mathematics) Official Paper (Held On: 13 Apr, 2025)
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  1. 8
  2. 8·54
  3. 9·54
  4. 7·54

Answer (Detailed Solution Below)

Option 3 : 9·54
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Detailed Solution

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Given:

From Chart-I: Number of houses = 1,20,000

Angle for Pucca houses = 110°

From Chart-II: Population = 21,00,000

Angle for population living in Pucca houses = 60°

Formula used:

Part of total = (Angle / 360) × Total Value

Average = Total Value / Number of units

Calculations:

Number of Pucca Houses = (110 / 360) × 1,20,000

⇒ Number of Pucca Houses = (11 / 36) × 1,20,000

⇒ Number of Pucca Houses = 11 × (120000 / 36)

⇒ Number of Pucca Houses = 110000 / 3

Population Living in Pucca Houses = (60 / 360) × 21,00,000

⇒ Population Living in Pucca Houses = (1 / 6) × 21,00,000

⇒ Population Living in Pucca Houses = 3,50,000

Average Persons per Pucca House = Population Living in Pucca Houses / Number of Pucca Houses

⇒ Average Persons per Pucca House = 350000 / (110000 / 3)

⇒ Average Persons per Pucca House = (350000 × 3) / 110000

⇒ Average Persons per Pucca House = (35 × 3) / 11

⇒ Average Persons per Pucca House = 105 / 11

⇒ Average Persons per Pucca House ≈ 9.5454...

∴ The correct answer is option 3.

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