The rate for a 1.2m wide carpet is Rs. 40per metre; find the cost of covering a hall 45m long and 32m wide with this carpet. Also, find the cost of carpeting the same hall if the carpet, 80cm wide, is at Rs. 25per metre.

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Rs. 48,000; Rs. 45,000

Rs. 52,000; Rs. 75,000

Rs. 66,000; Rs. 35,000

Rs. 17,000; Rs. 85,000

answer is A.

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Detailed Solution

It is given that; length of the hall is 45m and width is 32m.
It is also given that the carpet to be used is 1.2m in width.
The area of rectangular floor is given as

length \times breadth

.
Then area of hall = 45×32
=1440

m^{2}

Length of carpet =

\frac{1440}{1.2}

=120

m^{2}

Then cost of carpet =

120 \times 40

=Rs. 48000
When the hall is of 80cm width and the rate is Rs. 25 per metre,
The cost carpet =

\frac{1440}{0.80} \times 25

=Rs. 45000
Hence, the cost of covering the hall with 1.2 m wide carpet with Rs.40 per metre is Rs. 48000 and the cost of covering the hall with 80 cm wide carpet with Rs.25 per metre is Rs. 45000.
Hence, the correct option is 1.

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