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# Last year, the price of a jar of peanut butter at a certain store was

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
Last year, the price of a jar of peanut butter at a certain store was  [#permalink]

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15 Jun 2017, 05:03
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Difficulty:

15% (low)

Question Stats:

80% (02:16) correct 20% (02:52) wrong based on 64 sessions

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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

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Last year, the price of a jar of peanut butter at a certain store was  [#permalink]

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15 Jun 2017, 05:52
Bunuel 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

Peanut butter = \$P
Price of Peanut butter increased by 20% = 120% of P = 120/100 * P = 6/5 * P

Jelly = \$J ---- (Where J =2P)
Price of Jelly decreased by 20% = 80% of J = 80/100 * J = 4/5 *J = 4/5(2P) = 8/5*P

Price of one jar of Peanut butter and one jar of Jelly = 6/5*P + 8/5*P = (6P + 8P)/5 = 14P/5

Customer got 25% discount. ie; 75% of 14P/5 = 75/100 * 14P/5

3/4 * 14P/5 = (3*14/4*5)P = (42/20)P = (21/10) P or 21P/10. Answer D...
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Re: Last year, the price of a jar of peanut butter at a certain store was  [#permalink]

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15 Jun 2017, 06:10
Let P=100, thus J=200, last year.

So this year P = 120 (20% increase), and J = 160 (20% decrease). Price paid this year by customer = 120+160 = 280.

But after 25% discount, price = 75% of 280 = 3/4 * 280 = 210.
So we have to look for an option where if we put P=100, we should get answer as '210'.

That is only option D. Hence D answer
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Re: Last year, the price of a jar of peanut butter at a certain store was  [#permalink]

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17 Jun 2017, 05:08
1
Bunuel 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

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

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Re: Last year, the price of a jar of peanut butter at a certain store was  [#permalink]

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20 Jan 2019, 20:24
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Re: Last year, the price of a jar of peanut butter at a certain store was   [#permalink] 20 Jan 2019, 20:24
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