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Kelly used to get a 30% discount on movie tickets. When the price of t

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Bunuel
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Kelly used to get a 30% discount on movie tickets. When the price of t [#permalink] New post   04 Sep 2019, 00:58
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Kelly used to get a 30% discount on movie tickets. When the price of the movie ticket increased by 50%, the amount of discount in dollars remained the same. What is Kelly's discount with the new Ticket price in percent terms?

A. 10%
B. 20%
C. 25%
D. 35%
E. 38%
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B
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Re: Kelly used to get a 30% discount on movie tickets. When the price of t [#permalink] New post   04 Sep 2019, 02:02
let the price of movie tickets be = X

discount she gets on movie tickets = 30%

amount of discount in dollars = \(\frac{30}{100}\)*X = 0.3X

When the price of the movie ticket increased by 50% the amount of discount remains the same
now
the new price of movie tickets = X+\(\frac{50X}{100}\) = 1.5X

Amount of discount on movie tickets = 0.3X

let now kelly gets T percent discount of the new price

so amount of discount =\(\frac{1.5X*T}{100}\)

0.3X = \(\frac{1.5X*T}{100}\)

T(percentage of discount) = 20

B is the correct answer
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Kelly used to get a 30% discount on movie tickets. When the price of t [#permalink] New post   04 Sep 2019, 02:21
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IMO B.

price = p; discount = d; new discount = x

d = (0.3)*p

d = (x)*1.5*p

(0.3)*p = (x)*1.5*p
0.3 = 1.5x
x = 0.3/1.5 = 0.2 = 20%

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Re: Kelly used to get a 30% discount on movie tickets. When the price of t [#permalink] New post   04 Sep 2019, 02:32
Just plug in values, easy value to plug in is 100,30 ./. Discount is 30, now the price increased by 50./. , the new price is 150 , percentage of discount as per new price is 30/150 * 100 =20

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Re: Kelly used to get a 30% discount on movie tickets. When the price of t [#permalink] New post   04 Sep 2019, 11:29
Let's assume the original price of movie ticket to be $100
Kelly's discount = 30% i.e. $30
New price of movie ticket = 50% of original price + original price
= 50 + 100 = $150

Now we have to find $30 is what % of $150
30 = x% of $150
Solving this we get x = 20%

Ans = B
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Re: Kelly used to get a 30% discount on movie tickets. When the price of t [#permalink] New post   05 Sep 2019, 00:57
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Bunuel wrote:
Kelly used to get a 30% discount on movie tickets. When the price of the movie ticket increased by 50%, the amount of discount in dollars remained the same. What is Kelly's discount with the new Ticket price in percent terms?

A. 10%
B. 20%
C. 25%
D. 35%
E. 38%


Let \(p\) be the initial price of a ticket, and \(d\) the new discount.

Given: \(p*0.3=(p*1.5)*d\) --> p cancels out and we'll get: \(d=\frac{0.3}{1.5}=0.2=20%\)

Answer: B.
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Re: Kelly used to get a 30% discount on movie tickets. When the price of t [#permalink] New post   22 Sep 2020, 23:51
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Let the initial price of the movie ticket be 100.

=> 30% discount: Discounted price is 70

Price increase by 50%: The increased price is 150.

Kelly's discount with the new Ticket price in percent terms: \(\frac{30}{150}\) * 100 = 20

Answer B
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Re: Kelly used to get a 30% discount on movie tickets. When the price of t [#permalink] New post   19 May 2022, 20:01
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Re: Kelly used to get a 30% discount on movie tickets. When the price of t [#permalink]
19 May 2022, 20:01
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