Durign a special promotion, a certain filling station is

BTGmoderatorLU wrote:Source: Princeton Review

During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella's total per-gallon discount is what percent of Kim's total per-gallon discount?

A. 80%
B. 100%
C. 116.7%
D. 120%
E. 140%

The OA is D.

Say the price of per gallon of gas = $1

Thus,

Total discount received by Kim = 10% of 1*(20 – 10) = $1
Kim's total per-gallon discount = 1/20 = $0.05

Total discount received by Isabella = 10% of 1*(25 – 10) = $1.50
Kim's total per-gallon discount = 1.5/25 = $0.06

Thus,

Isabella's total per-gallon discount is (0.06 / 0.05)*100% = 120% of Kim's total per-gallon discount

The correct answer: D

Hope this helps!

-Jay
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BTGmoderatorLU wrote:Source: Princeton Review

During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella's total per-gallon discount is what percent of Kim's total per-gallon discount?

A. 80%
B. 100%
C. 116.7%
D. 120%
E. 140%

Let’s assume that the price per gallon of gas is $10. Thus, the discounted price per gallon of gas after the first 10 gallons is 0.9 x 10 = $9. In other words, after the first 10 gallons, each additional gallon has a $1 discount in price.

Now let’s calculate the total discount for each person. Since Kim purchased 20 gallons of gas, the 10 additional gallons (that is, after the initial 10 gallons) will receive a $10 discount, so her total per-gallon discount is 10/20 = $0.50. Since Isabella purchased 25 gallons of gas, the 15 additional gallons (that is, after the initial 10 gallons) will receive a $15 discount, so her total per-gallon discount is 15/25 = $0.60. Therefore, Isabella’s total per-gallon discount is 0.60/0.50 = 6/5 = 1.2 = 120% of Kim’s total per-gallon discount.

Answer: D