The length, breadth, and height of a room are 10 m, 8 m and 6 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs. 7.50 per m2.

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 2)
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  1. Rs. 2,220
  2. Rs. 1,850
  3. Rs. 2,150
  4. Rs. 2,000

Answer (Detailed Solution Below)

Option 1 : Rs. 2,220
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Detailed Solution

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Given:

Length of room = 10 m

Breadth of room = 8 m

Height of room = 6 m

Rate of whitewashing = Rs 7.50 per m2

Concept Used:

Area of four walls of room = 2h (l + b)

Area of ceiling = l × b

Calculation:

Area of four walls of room = 2h (l + b)

Area of four walls of room = 2 × 6 (10 + 8)

⇒ 12 × 18= 216 m2

Area of ceiling = l × b

Area of ceiling = 10 × 8 = 80 m2

Total area of four walls and ceiling = 216 + 80 = 296 m2

Now, the cost of whitewashing the walls and ceiling = 296 × 7.50 = Rs.2,220

∴ The price for whitewashing the walls of the room and the ceiling is Rs.2,220

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