In this question 

We follow the rule of BODMAS and then solveby rule of decimals

$\begin{array}{l}\text{22.5}\times \text{0.05 = 225}\times \text{5}\\ \text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}= 1.125 [}\because \text{in multiplication, }\text{we add the place of the decimals after multiplication]}\end{array}$

Hence, Option B is correct.