Profit-loss problem

Question

A dealer sold a good for a loss of 2.5%. Had he sold it for $100 more, he would have gained 7.5%. At what price must he sell it for to have a gain of 12.5%?

Answer 1

x-.025x

x+100=x+.075x

100=.075x

x=1333.33

1333.33*(1+.125)=$1500