Question

Raina had two coupons for a bicycle .

Coupon A: 15% off a $95 bicycle

Coupon B:$18 rebate on a $95 bicycle .

Choose the coupon that gives the lower price. Then fill in the blank with the correct value.

Answer 1

B

Explanation:

a quick look sees already the answer :

$18 would be 18% rebate for $100. as the price is not even $100, $18 rebate must be even more than 18%.

but coupon A gives only 15%.

so, clearly, coupon B gives the higher rebate and therefore the lower price.

now, let's do some precise calculation to prove our thinking :

100% = $95

1% = 100%/100 = $95/100 = $0.95

coupon A gives 15% discount

15% = 15×1% = 15×0.95 = $14.25

actual price = 95 - 14.25 = $80.75

but coupon B gives $18 discount.

actual price = 95 - 18 = $77

the %-discount = 18/1% = 18/0.95 = 18.94736842...%

so, as expected, coupon B gives the higher discount and therefore the lower price.