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Q.

Choose the correct option: 

A swimming pool is of dimensions 25 m × 12 m × 5.5 m. The cost of cementing its floor and wall at the rate of Rs 12.50 per square metre is _____.

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a

Rs 7645.50

b

Rs 8837.50 

c

Rs 6478.75

d

Rs 8835.50

answer is C.

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Detailed Solution

detailed_solution_thumbnail

Given,

length (l) of the swimming pool = 25 m

breadth (b) of the swimming pool = 12 m 

height (h) of the swimming pool = 5.5 m

The area of the four walls as well as the floor of the swimming pool is given by = 2h (l + b) + lb

=2×5.525+12+25×12 =[11(37)+300] =[407+300] =707 m2

Cost of cementing 1 m2 of area = Rs 12.50

∴ Cost of cementing 707 m2 of area = Rs (707 × 12.50) = Rs 8837.50

Thus, the cost of cementing the floor and the wall of the swimming pool is Rs 8837.50.

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