Although Snoggs's _reason_ for wishing to take his rise at £2, 10s.
half-yearly did not concern our puzzle, the _fact_ that he was duping
his employer into paying him more than was intended did concern it. Many
readers will be surprised to find that, although Moggs only received
£350 in five years, the artful Snoggs actually obtained £362, 10s. in
the same time. The rest is simplicity itself. It is evident that if
Moggs saved £87, 10s. and Snoggs £181, 5s., the latter would be saving
twice as great a proportion of his salary as the former (namely,
one-half as against one-quarter), and the two sums added together make
£268, 15s.