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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Last year, the price of a jar of peanut butter at a certain ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Last year, the price of a jar of peanut butter at a certain ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Last year, the price of a jar of peanut butter at a certain store was P dollars and the price of a jar of jelly at the same store was J dollars, where J=2P. This year, the price of peanut butter increased by 20% and the price of jelly decreased by 20%. If a customer purchases one jar of peanut butter and one jar of jelly this year and receives a 25% discount, which of the following represents the amount that he paid, in terms of P? A. 3P/2 B. 17P/10 C. 19P/10 D. 21P/10 E. 11P/5 OA D Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2852 messages Followed by: 18 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: Last year, the price of a jar of peanut butter at a certain store was P dollars and the price of a jar of jelly at the same store was J dollars, where J=2P. This year, the price of peanut butter increased by 20% and the price of jelly decreased by 20%. If a customer purchases one jar of peanut butter and one jar of jelly this year and receives a 25% discount, which of the following represents the amount that he paid, in terms of P? A. 3P/2 B. 17P/10 C. 19P/10 D. 21P/10 E. 11P/5 OA D Source: Veritas Prep We are given that last year, the price of a jar of peanut butter at a certain store was P dollars, and the price of a jar of jelly at the same store was J dollars, where J = 2P. This year the peanut butter price increased by 20%, so the new price is 1.2P. Since the price of jelly decreased by 20%, the new price is 0.8J = 0.8(2P) = 1.6P. Thus, the regular price of one jar of peanut butter and one jar of jelly is 1.2P + 1.6P = 2.8P. Thus, at a 25% discount, the price is 0.75(2.8P) = 2.1P = 21P/10 Answer: D _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15362 messages Followed by: 1866 members Upvotes: 13060 GMAT Score: 790 Top Reply BTGmoderatorDC wrote: Last year, the price of a jar of peanut butter at a certain store was P dollars and the price of a jar of jelly at the same store was J dollars, where J=2P. This year, the price of peanut butter increased by 20% and the price of jelly decreased by 20%. If a customer purchases one jar of peanut butter and one jar of jelly this year and receives a 25% discount, which of the following represents the amount that he paid, in terms of P? A. 3P/2 B. 17P/10 C. 19P/10 D. 21P/10 E. 11P/5 The price of a jar of peanut butter at a certain store was P dollars and the price of a jar of jelly at the same store was J dollars, where J=2P. Let P = 10 and J = 20 This year, the price of peanut butter increased by 20% and the price of jelly decreased by 20% New P = 10 + (20% of 10) = 10 + 2 = 12 New J = 20 - (20% of 20) = 20 - 4 = 16 A customer purchases one jar of peanut butter and one jar of jelly this year and receives a 25% discount. Before the discount: New P + New J = 12 + 16 = 28 After the discount: 28 - (25% of 28) = 28 - 7 = 21 Which of the following represents the amount that he paid, in terms of P? The correct answer must yield$21 when P=10.
Only D works:
21P/10 = (21*10)/10 = 21.

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