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

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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

Given that length of hall is

45

m and width are

32

m. And the rate for a

1.2

m wide carpet is Rs.

40

per metre.
Then, area of hall

=

length \times width

\Rightarrow

Area of hall

= 45 \times 32

\Rightarrow

Area of hall

= 1440 m^{2}

Cost for per meter square

=

\frac{1440}{1.2}

Then cost of carpet

=

\frac{1440}{1.2} \times 40

\Rightarrow

Cost of carpet

=

Rs.

48000

When cost of

80

cm width at rate Rs.

25

per meter.
Then cost per meter

= \frac{1440}{0.80}

.
Then cost of carpet

=

\frac{1440}{0.80} \times 25

\Rightarrow

Cost of carpet

=

Rs.

45000

So, cost of carpet when rate for a

1.2

m wide carpet is Rs.

40

per metre is Rs.

48000

and when rate for a

1.2

m wide carpet is Rs.

40

per metre then cost is Rs.

45000 .

Hence, the correct option is 1.

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

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