A certain bakery only sells bread. It sells bread at a

Question

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.

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

narangvaibhav · Answer

Good Q

let n(A) be number of bread sold before 6PM and p(A) be proce of each such bread, Similarly, let n(B) be number of bread sold post 6PM and p(B) be proce of each such bread.
Q is asking if n(A)*p(A)+n(B)*p(B)>=1450
also n(A)+n(B)=300
 p(B)=(1-y%)*p(A)
=> n(A)*p(A)+(300-n(A))*(1-y%)*n(A)

so three unknowns are there n(A), y & p(A)

statement 1: y= 60%, but we donot know other 2 variables=> not sufficient
Statement 2: p(A)=$12.50, but we donot know other 2 variables=> not sufficient

1+2=> y=60% & p(A)=$12.5
=> p(B)= (1-0.6)*12.5= 5$

even if p(A)=0=> p(B)=300
total sale= 300*5=$1500> $1450, hence SUFFICIENT

Ans: C

macjas · Answer

This one tricked me and is a very good example of how elegantly tricky (re: not hard) some GMAT problems are. Overall, the Princeton review questions are mostly in the 500-650 range IMO but they do have a few gems like this one where you need to use common sense!

Bunuel · Answer

You don't really need several variables to solve this question.

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.

(1) y = 60. Clearly insufficient.
(2) Fully priced loaves of bread cost $12.50 each. If all 300 loaves of bread were sold before 6PM then the bakery would made more than $1450 but if all 300 loaves of bread were sold after 6PM for $1 then the bakery made less than $1450. Not sufficient.

(1)+(2) The price of the loaf of bread after 6PM is $12.50*(1-0.6)=$5. Now, even if all 300 loaves of bread were sold after 6PM the bakery would still made $5*300=$1,500>$1,450. Sufficient.

Answer: C.

Varthini · Answer

Even if all the 300 loaves were sold at 60%off that is $5, total amount is 1500.

In this 60%is from statement 1

Base price is from statement 2

Hence both together is needed

Posted from my mobile device

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A certain bakery only sells bread. It sells bread at a

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A certain bakery only sells bread. It sells bread at a

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