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If the Cost of Carpeting the Floor is Rs.30 per Square Feet, Then Which of the Following Can Represent the Length and Breadth of the Drawing Room of Riz and Rekha'S Apartment? - Mathematics

Question

MCQ

Direction:  Answer the question on the basis of the information given below.

After their wedding, Riz and Rekha decide to move into a new apartment, which is unfurnished. So they decide to buy the necessary home appliances with the gift money that they received at their wedding. The total gift money received was Rs.1,23,000 out of which the amount spent on wooden furniture is Rs.24,000, which is double the amount spent on carpeting the drawing room floor. The remaining amount was spent on buying exactly three items namely TV, AC and Washing Machine, the prices of which are in the ratio 11 : 13: 5 respectively.

If the cost of carpeting the floor is Rs.30 per square feet, then which of the following can represent the length and breadth of the drawing room of Riz and Rekha's apartment?

Options

  • 20 feet and 15 feet

  • 25 feet and 15 feet

  • 20 feet and 16 feet

  • 25 feet and 16 feet

Solution

25 feet and 16 feet

Explanation:

The correct answer is (4) - length = 25 feet and breadth = 16 feet. It is known that Riz and Rekha spent half of Rs.24,000, which is Rs.12,000 on carpeting. The rate of carpeting the floor is given as Rs.30 per square feet. So the area of the floor that has been carpeted is  

`12000/30 = 400` square feet.
Out of the options, only 25 feet and 16 feet gives us the required area. 

Concept: Ratio and Proportion (Entrance Exam)
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