Question 1150818

By selling a dress for $5500, a woman lost 30%. For how much should she have sold it to gain 30% 
<pre>Losing 30% means that itw's sold for 70%, or .7, which is actually $5,500
We then get the following PROPORTION, with selling price to gain 30%, being P: {{{matrix(1,3, .7/1.3, "=", "$5,500"/P)}}}
.7P = 1.3(5,500) ------ Cross-multiplying
P, or selling price in order to gain 30% = {{{highlight_green(matrix(1,6, 1.3("5,500")/.7, "=", "10,214.28571,", rounded, to, highlight("$10,214.29")))}}}