Question

The rate for a $1.20$ 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 metre.

• A. Rs. $57,600;$ Rs. $36,000$
• B. Rs. $45,000;$ Rs. $45,000$
• C. Rs. $48,000;$ Rs. $45,000$
• D. Rs. $36,000;$ Rs. $57,600$

Answer 1

The correct option is C Rs. $48,000;$ Rs. $45,000$

Length of the floor $=45$ m
Breadth of the floor $=32$ m
Area of the floor $=$ Length $\times$ Breadth
$=45\times 32$
$=1440m^2$
Now, width of the carpet $=1.2$ m
Length of the carpet $=\frac{1440}{1.2}$ $=1200$ m
Total cost $=$ Rs. $(40\times 1200)$ $=$ Rs. $48000$
Now, width of the carpet $=80$ cm $=0.8$ m
Length of the carpet $=\frac{1440}{0.8}$ $=1800$ m
Total cost $=$ Rs. $(25\times 1800)$ $=$ Rs. $45000$