Height of a boy is measured as AB in one system and as CD in another system. A, C are numerical values and B, D are units. If$\frac{\text{A}}{\text{C}}=100$ , then$\frac{\text{B}}{\text{D}}=$                  

Height of a boy = AB in one system

Height of a boy = CD in second system

We know$\text{P}={\text{N}}_{\text{1}}{\text{U}}_{\text{1}}={\text{N}}_{\text{2}}{\text{U}}_{\text{2}}$

$\Rightarrow \frac{{\text{N}}_{\text{1}}}{{\text{N}}_{\text{2}}}=\frac{{\text{U}}_{\text{2}}}{{\text{U}}_{\text{1}}}$  

We should get height of a boy = AB = CD

$\frac{\text{A}}{\text{C}}=\frac{\text{D}}{\text{B}}$

Given that$\frac{\text{A}}{\text{C}}=100$    then$\frac{\text{D}}{\text{B}}=100$  and$\frac{\text{B}}{\text{D}}=\frac{1}{100}$