(a)
The solubility of silver bromide in hypo solution due to the formation of $Na_{3}Ag\left( S_{2}O_{3} \right)_{2}.$
$AgBr + 2Na_{2}S_{2}O_{3}\ \longrightarrow Na_{3}Ag\left( S_{2}O_{3} \right)_{2} + 2NaBr$
Sod. argentothiosulphate
(colourless)