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# The price of season tickets this year is 25% more than the price last

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Math Expert
Joined: 02 Sep 2009
Posts: 48044
The price of season tickets this year is 25% more than the price last  [#permalink]

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26 Apr 2018, 13:32
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Difficulty:

15% (low)

Question Stats:

81% (00:33) correct 19% (00:28) wrong based on 54 sessions

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The price of season tickets this year is 25% more than the price last year. Last year’s price is what percent of this year’s price?

(A) 75%
(B) 80%
(C) 90%
(D) 120%
(E) 125%

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Re: The price of season tickets this year is 25% more than the price last  [#permalink]

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26 Apr 2018, 15:13
Let the price this year be 125p. Let the price last year be 100p

Last year’s price percentage of this year’s price = $$\frac{(100p}{125p)}$$% = 80%

Hence option B = 80% is the answer.
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Re: The price of season tickets this year is 25% more than the price last  [#permalink]

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26 Apr 2018, 22:49

Solution

Given:
• The price of season tickets this year is 25% more than the last year’s price

To find:
• Last year’s season ticket price is what percentage of this year’s price

Approach and Working:
• Let us assume that last year season tickets’ price was x
o Therefore, this year the price = 1.25x
• Hence, last year’s price as a percentage of this year’s price = $$\frac{x}{1.25x}$$ * 100 = 80%

Hence, the correct answer is option B.

Note:
This can also be solved if we assume last year’s price as 100.
Therefore, this year’s price = 125
Hence, last year’s price as a percentage of this year’s price = $$\frac{100}{125}$$ * 100 = 80%
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Re: The price of season tickets this year is 25% more than the price last  [#permalink]

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26 Apr 2018, 23:33
Bunuel wrote:
The price of season tickets this year is 25% more than the price last year. Last year’s price is what percent of this year’s price?

(A) 75%
(B) 80%
(C) 90%
(D) 120%
(E) 125%

Let last year's price = 100

Then this year's price = 125

Now, (100/125)*100 = 80%

Therefore, Last year’s price is 80% of this year’s price.

(B)

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Re: The price of season tickets this year is 25% more than the price last  [#permalink]

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27 Apr 2018, 00:17
Bunuel wrote:
The price of season tickets this year is 25% more than the price last year. Last year’s price is what percent of this year’s price?

(A) 75%
(B) 80%
(C) 90%
(D) 120%
(E) 125%

Ans: B

although solutions are given here but I solved this by the concept of 25% increase and 20% decrease of %age concept. If we increase the price of any article by 25% then to go back to the same price we need to give 20% discount. by giving 20% discount means making the price 80% of current price. so ans is 80%.

Ans: B
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Re: The price of season tickets this year is 25% more than the price last  [#permalink]

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30 Apr 2018, 16:30
Bunuel wrote:
The price of season tickets this year is 25% more than the price last year. Last year’s price is what percent of this year’s price?

(A) 75%
(B) 80%
(C) 90%
(D) 120%
(E) 125%

We can let last year’s price = 100 and this year’s price = 125.

Thus, last year’s price is 100/125 = 4/5 = 80% of this year’s price.

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Re: The price of season tickets this year is 25% more than the price last &nbs [#permalink] 30 Apr 2018, 16:30
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