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A certain bakery only sells bread. It sells bread at a regular price throughout the day but decreases its price by \(y\)

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A certain bakery only sells bread. It sells bread at a regular price throughout the day but decreases its price by \(y\)

by M7MBA » Wed Oct 07, 2020 10:16 am

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C

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E

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A certain bakery only sells bread. It sells bread at a regular price throughout the day but decreases its price by \(y\) percent after \(6\) pm. Today, the bakery sold \(300\) loaves of bread. Did the bakery make more than \(\$1450\) today?

(1) \(y = 60\)
(2) Fully priced loaves of bread cost \(\$12.50\) each.

Answer: C

Source: Princeton Review
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Source: — Data Sufficiency |
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Re: A certain bakery only sells bread. It sells bread at a regular price throughout the day but decreases its price by \

by deloitte247 » Thu Oct 15, 2020 7:00 am

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Your Answer

A

B

C

D

E

Global Stats

- Sells bread at a regular price throughout the day
- decreases price by y%
- Total bread sales = 300 loaves
Target question: Did the bakery make more than $1450 today?

Statement 1: y = 60
A loaf of bread was sold for 40% of its original price but the original price is unknown. So, total sales cannot be evaluated. Hence, statement 1 is NOT SUFFICIENT.

Statement 2: Fully priced loaves of bread cost $12.50 each.
Each loaf of bread sold before 6pm was for $12.50. So, each value of y is unknown, hence, statement 2 is NOT SUFFICIENT.

Combining both statements together:
From statement 1: After 6pm, a loaf of bread was for 40% of the full price
From statement 2: Full price of a loaf of bread is $12.50
Price after 6pm = 40% * $12.50 = $5
The worst case scenario is if all the 300 breads were sold after 6pm.
And that is the case, then the total sales = 300 * 5 = $1500
Since the worst-case scenario is > 1450, then, the average and best case will also be > 1450. Hence, the bakery made sales of more than $1450. Therefore, both statements combined together are SUFFICIENT.

Answer = option C
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