The internal length of a room is two times its breadth and three times its height The total cost of ...........

Quantitative Aptitude (CPO) Mensuration 2D

The internal length of a room is two times its breadth and three times its height. The total cost of painting its four walls at the rate of

Rs25/m is Rs3,600. What is the cost of laying a carpet on its floor at the rate of Rs90.50/m ?

This questions was previously asked in

SSC CPO 13th Dec 2019 Shift-1

Rs6,516

Rs7,240

Rs5,430

Rs5,970

Let's break down the problem:

- Let height = h

- Length = 3h (since length is three times height)

- Breadth = (length)/2 = 1.5h

Area of 4 walls = 2(height)(length + breadth)

= 2h(3h + 1.5h) = 2h(4.5h) = 9h²

Cost of painting 4 walls = Rs25/m²

Total cost = Rs3,600

So, 9h² x 25 = 3,600 ? 9h² = 144

? h² = 16 ? h = 4

- Length = 3h = 12 m

- Breadth = 1.5h = 6 m

Area of floor = 12 x 6 = 72 m²

Carpet cost = 72 x 90.50 = Rs6,516

Option 1: Rs6,516 is correct.

? Option 1: Rs6,516 is the right answer.

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