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04 Sep 2019, 00:58
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B
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86% (01:22) correct
14%
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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%
A. 10%
B. 20%
C. 25%
D. 35%
E. 38%
04 Sep 2019, 02:02
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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
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
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%
-------------------------------------
Kudos if helpful!
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%
-------------------------------------
Kudos if helpful!
