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12 Jan 2019, 12:36
1
00:00

Difficulty:

65% (hard)

Question Stats:

47% (02:59) correct 53% (02:42) wrong based on 17 sessions

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The price of a pastry at 10 AM was $p. Each hour after 11 AM, the price decreases by 20%. If Julie bought the pastry at 11:15 AM whereas her sister bought the same 3 hours later, then the price paid by Julie's sister was what percent less than that paid by Julie?(There is no price change apart from those mentioned above) A. 33.33% B. 37.5% C. 48.8% D. 51.2% E. None of these Manager Status: Manager Joined: 27 Oct 2018 Posts: 97 Location: Malaysia Concentration: Strategy, International Business GPA: 3.67 WE: Pharmaceuticals (Health Care) Re: The price of a pastry at 10AM was$p. Each hour after 11AM, the price  [#permalink]

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12 Jan 2019, 14:34
1
visualizing the time line:

10:00 <---(p)---> 11:00 <---(p)---> 12:00 <---($$\frac{4}{5}$$p)---> 13:00 <---($$(\frac{4}{5})^2$$p)---> 14:00 <---($$(\frac{4}{5})^3$$p)---> 15:00

Julie's price = p
sister's price = $$(\frac{4}{5})^3$$p

$$(\frac{4}{5})^3$$p = p(1- $$\frac{x}{100}$$)

$$(\frac{4}{5})^3$$ = 1- $$\frac{x}{100}$$

$$\frac{x}{100}$$ = 1 - $$\frac{64}{125}$$

x = $$\frac{61}{125} * 100$$ = $$\frac{488}{1000} * 100$$ = 48.8 %

So C IMO
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...Thanks for KUDOS

Re: The price of a pastry at 10AM was $p. Each hour after 11AM, the price &nbs [#permalink] 12 Jan 2019, 14:34 Display posts from previous: Sort by # The price of a pastry at 10AM was$p. Each hour after 11AM, the price

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