You can either use a 10% off discount coupon OR you can use a discount 25% off coupon. For what price for the pair of pants would you end up paying the same amount for either discount method?

Question

You can go to a store to buy a pair of pants. You can either use a 10% off discount coupon OR you can use a discount 25% off coupon.  You can’t use both, however. For what price for the pair of pants would you end up paying the same amount for either discount method?

Answer 1

(1-.1)A = (1-.25)B

.9A = .75B

A/B =.75/.9 = 75/90 = 25/30 = 5/6

when the prices of the pants are in a 5 to 6 ratio, then the discounts could make the ultimate price the same fore each pair

10% off a cheaper pair of pants will be the same as 25% off a more expensive pair

Let one pair cost $100 and the other $120

10% off $100 leaves $90 discounted price $100-$10=$90

25% off $120 leaves $90 discounted price $120-$30 = $90

Answer 2

0.9x = 0.75y, 6x = 5y. So x < y. We have to end up with pair of pants with price x and apply 25% discount coupon