P5 Math: Tammy bought a blouse and a skirt

Tammy bought a blouse and a skirt at 20% discount each. She was given a further 30% membership discount of the discounted price. She then paid %54.60 for the two items. If the skirt cost $52.50 before any discount, find the original price for the blouse.

Solution:

We have to work backwards.

$54.60 is after 30% discount i.e $54.60 is 70% --> before 30% discount = (100/70) x 54.60 = $78.

$78 is after 20% discount i.e $78 is 80% -->  before 20% discount = (100/80) x 78 = $97.50.

$97.50 is price for both blouse and skirt before any discount.

So, price for the blouse before any discount = 97.50 - 52.50 = $45.