​Find the cost of carpeting a 15m-long and 11m-wide room with a 75-cm-wide carpet, if the price of the carpet is ₹13 per meter (not considering the cost of labour). ​

Correct option is A

Width of the room = $11\text{m}$

Width of the carpet = $75\text{cm }=0.75\text{m}$

Price of the carpet = ₹13 per meter

Formula Used:

Area of the room = Length × Width

Length of carpet required = $$\frac{\text{Area of the room }}{\text{Width of the carpet}}$$​Area of the roomWidth of the carpet\frac{\text{Area of the room}}{\text{Width of the carpet}}​

Cost of carpeting = Length of carpet required × Price per meter

Solution:

Area of the room= 15 $$\times 11$$ =165 m²

Length of carpet required = $$\frac{165}{0.75}$$= 220 m

Cost of carpeting = 220 $$\times 13$$ = ₹2860

Option (a) is right answer.