Choose the correct answer of the following question:

We have,

Width of the carpet $=75 \mathrm{~cm}=0.75 \mathrm{~m}$ and length of the room $=15 \mathrm{~m}$

Length of the carpet $=\frac{\text { Cost of carpeting }}{\text { Rate of carpeting }}=\frac{8400}{70}=120 \mathrm{~m}$

Now, area of the carpet required for carpeting $=120 \times 0.75 \mathrm{~m}^{2}$

$\Rightarrow$ area of the floor $=120 \times 0.75 \mathrm{~m}^{2}$

$\Rightarrow 15 \times$ breadth $=120 \times 0.75$

$\Rightarrow$ breadth $=\frac{120 \times 0.75}{15}$

So, breadth $=6 \mathrm{~m}$

Hence, the correct answer is option (c).