Jim wants to buy some new shoes. A local shoe shop has a pair for $59.95 with a 10% discount. Another shop has the same pair for $75.99 with a 25% discount. What is the amount of the lower price?

1 Answer

The first pair of shoes is cheaper by $3.03, costing $53.96 vs the other pair at $56.99


One way we can do this is to see that when we have a discount, we're in essence not having to pay for a certain percentage of the price, and so we pay the remaining percentage.

For example, with a pair of shoes that has a 10% discount, we still have to pay 90% of the price.

The first pair of shoes will cost:

#$59.95xx90%=$59.95xx0.9=$53.955=$53.96# (rounding up the half cent)

and the other pair will cost:

#75.99xx75%=75.99xx0.75=$56.9925=$56.99# (rounding down the quarter cent)

Therefore the first pair of shoes is cheaper by $3.03.