Bunuel
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
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.
Since this year the peanut butter increased by 20%, 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