Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The cost of carpeting a room is ₹ 120. If the width had been 4 metres less, the cost of the carpet would have been ₹ 20 less. The width of the room is
(a)18.5 m
(b)20 m
(c)24 m
(d)25 m
Answer
Answer (as printed): C
Explanation
Let the length and breadth of the carpet be 1 and b metres respectively and let the rate of carpeting be ₹ $x$ per metre. Then, $l b x=120$ ...(i) And, $l(b-4) x=\Rightarrow l b x-4 l x=100 \Rightarrow 4 l x=20$ ...(ii) Dividing (i) by (ii), we get: $\frac{l b x}{4 l x}=\frac{120}{20} \Rightarrow b=24 \mathrm{m}$.