Quantitative Aptitude Ques 2439

Question: 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?

Options:

A) Rs. 6720

B) Rs. 5420

C) Rs. 7390

D) Cannot be determined

E) None of the above

Show Answer

Answer:

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,ft $

$ \Rightarrow $ $ 106x=212,ft $

$ \Rightarrow $ $ x=\frac{212}{106}=2,ft $

$ \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