Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The cost of carpeting a room 18 m long with a carpet 75 cm wide at ₹ 4.50 per metre is ₹ 810. The breadth of the room is
(a)7 m
(b)7.5 m
(c)8 m
(d)8.5 m
Answer
Answer (as printed):
Explanation
Length of the carpet $=\left(\frac{\text { Total cost }}{\text { Rate } / \mathrm{m}}\right)=\left(\frac{8100}{45}\right) \mathrm{m}=180 \mathrm{m}$. Area of the room = Area of the carpet $=\left(180 \times \frac{75}{100}\right) \mathrm{m}^{2}=135 \mathrm{m}^{2}$. ∴ Breadth of the room $=\left(\frac{\text { Area }}{\text { Length }}\right)=\left(\frac{135}{18}\right) \mathrm{m}=7.5 \mathrm{m}$.