During a one-day sale, a store sold each sweater

[alejandro.ventura]

During a one-day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. How many of these sweaters were sold during the sale?

1. During the sale, the total revenue from the sweater of these sweaters was $270.

2. During the Sale, the store sold each of these sweaters at a price that was 50% greater than the store's cost to purchase each sweater.

[purnendu.shukla]

I think the answer will be "C".

[adiagr]

I agree answer should be C.


Say cost prioce of each sweater is C $. Then question tells us that Sales Price is C+30.

Statement 1:

Gives us the info that total revenue is 270$.

(C+30) x No. of sweaters = 270.

Can't be solved.

So (1) Not sufficient.

Statement 2

(C+30) - C = 0.5 C

C is known

Still we do not know what total revenue was and so No. of sweaters can't be obtained.

Combining (1) and (2)

C is known and total revenue is known. Ans. can be obtained.

so option (C) seems to be the correct answer.

What is OA?

[alejandro.ventura]

The correct answer is C. Makes sense now.

[mschwrtz]

Nice work.

[fancy14]

even said that though, the answear seems to be 4.5, how can we sold 0.5 of sweater?

[700+]

even said that though, the answear seems to be 4.5, how can we sold 0.5 of sweater?

It does not look like the number of sweaters sold is 4.5.

Statement 2

(C+30) - C = 0.5 C

So, C = 60
Sales Price = C + 30 = 90

Number of Sweaters sold x 90 = $270 (Total Revenue)
Therefore, Number of Sweaters sold = 3

Hope I was able to clear your doubt.

[RonPurewal]

nicely done; thanks.

[aliassad]

Just wanted to add a variation on this question. If we replace the term "revenue" by "profit" then the correct answer would be A?

Thanks in advance.

[RonPurewal]

Just wanted to add a variation on this question. If we replace the term "revenue" by "profit" then the correct answer would be A?

Thanks in advance.

yes.

by the way, this sort of thing -- "tweaking" the question a little bit and seeing the resulting effect on the answer -- is a VERY good way to get your brain into the right mindset for data sufficiency.

[aliassad]

Thanks Ron.

This is something I have learnt from you.

[RonPurewal]

sweet.