Durign a special promotion, a certain filling station is

BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

Durign a special promotion, a certain filling station is

by BTGmoderatorLU » Thu Aug 30, 2018 3:46 pm

Timer

00:00

Your Answer

Global Stats

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.

Quote

Source: Beat The GMAT — Problem Solving | Thu Aug 30, 2018 3:46 pm

GMAT/MBA Expert

Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Thu Aug 30, 2018 9:20 pm

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
_________________
Manhattan Review

Locations: Manhattan Review Warangal | GMAT Prep Dilsukhnagar | GRE Prep Begumpet | Visakhapatnam GRE Coaching | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

Quote

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8085; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Tue Sep 11, 2018 4:24 pm

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]