Question

You purchase a birthday gift for $105.00. You recall the tag above the gifts to read $175.00 as a retail price. You are pleasantly surprised at the discount that you had not seen. What was the percentage of discount offered on your gift? i assume the answer will be 70%?

Answer 1

If the retail price was $175.00, and you purchased this item for $105.00, then the discount was 40%

Explanation:

`(105)/(175) = (21)/(35)= (3)/(5) = 0,6` - that means you paid 60% out of the total price

the discount however is not the percentage that you paid, but the X% OFF, so in that case:

`100 - 60 = 40`

The discount on this item was 40%

Answer 2

We then swap this around for the lower number that equals to 100.

100-60= 40

40%

I hope this is helpful.