If $$\sqrt{0.03×0.3×p}=0.3×0.03×\sqrt{q}$$​, then $$\frac{p}{q}$$​ is:

Correct option is B

Given:

​$$\sqrt{0.03×0.3×p}=0.3×0.03×\sqrt{q}$$

Solution:

$$\sqrt{0.03×0.3×p}=0.3×0.03×\sqrt{q}$$

Squaring both sides,

​$$(\sqrt{0.03×0.3×p})^2=(0.3×0.03×\sqrt{q})^2$$

$$0.03×0.3×p=0.3×0.3×0.03\times 0.03\times q$$

​​​$$p=0.009×q$$

$$\frac{p}{q}=$$ 0.009​​