+-40 Ellie bought a scarf and a dress.
the scarf cost £4
she sold both items for a total of £26
she made:
100% profit on the cost of the scarf
30% profit on the total cost
work out her percentage profit on the dress
Let the cost of the dress = D
4 + D =26/1.30, solve for D
D = 16 pounds- purchase price of the dress
16 + 4 =20 pounds - cost of the dress and scarf.
4 + [100% x 4] + 16P =1.30 x 20
8 + 16P = 26 subtract 8 from both sides
16P =26 - 8
16P = 18 divide both sides by 16
P =18/16
P =1.125 - 1 x 100 =12.5% - profit on the dress. So that:
4+[100%x4] + [16x1.125] =20x1.30
8 + 18 = 26
