Question

If George is 33 1/3% richer than Pete, than Pete is what percent poorer than George?

Answer 1

25%

Explanation:

George is 33
`(1)/(3)`% (
`(100)/(3)`%) richer than Pete. Let Pete's percentage of wealth be 100%.

Thus George percentage of wealth = 100% +
`(100)/(3)`%

=
`(400)/(3)`%

= 133
`(1)/(3)`%

Pete's percent poorer than George can be determined by;

=
`((100)/(3))` ÷
`((400)/(3) )` × 100

=
`((100)/(3))` ×
`(3)/(400)` ×100

= 0.25 × 100

= 25%

Pete is 25% poorer than George.