A box contains some identical red coloured balls,labelled as A, each weighing 2 grams

A box contains some identical red coloured balls,labelled as A, each weighing 2 grams. Another box contains identical blue coloured balls, labelled as B, each weighing 5 grams. Consider the combinations AB, A${{B}{2}}$,${{A}{2}}$B, ${{A}{2}}$${{B}{3}}$ and show that the law of multiple proportion is applicable.

In AB 2g of A reacts with 5g of ‘B’ 4g of A reacts with 10g of ‘B’.
In A${{B}{2}}$
2g of A reacts with 2 X 5g = 10g of ‘B’
4g of A reacts with 20g of B.
In ${{A}
{2}}$B 4g of A reacts with 5g of 'B’
In ${{A}{2}}$${{B}{3}}$ 4g of A reacts with 15g of 'B’
The ratio between different weights of ‘B’ which react with fixed mass (4g) of A is
10 : 12 : 5 : 15
i.e., 5 : 6 : 1 : 3 which is simple.
Hence, the law of multiple proporation is applicable.