| What would be the cost of laying a carpet on a floor which has its length and breadth in the respective ratio of 32: 21 and where its perimeter is 212 ft, if the cost per square feet of laying the carpet is Rs. 2.5? |
A) Rs. 6720
B) Rs. 5420
C) Rs. 7390
D) Cannot be determined
E) None of the above
Correct Answer: A
Solution :
| Let the length and breadth of a floor be 32x and 21x, respectively. |
| Given, perimeter of the floor = 212 ft |
| \[2\,(32x+21x)=212\,\text{f}t\] |
| \[\Rightarrow \] \[106x=212\,\text{f}t\] |
| \[\Rightarrow \] \[x=\frac{212}{106}=2\,\text{f}t\] |
| \[\therefore \] Area of the floor = Length \[\times \] Breadth |
| \[=(32\times 2)\times (21\times 2)=64\times 42\] |
| = 2688 sq ft |
| Hence, cost of laying carpet \[=2688\times 2.5\] |
| = Rs. 6720 |
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