In a certain store, item X sells for 10 percent less than item Y. What

Question

In a certain store, item X sells for 10 percent less than item Y. What is the ratio of the store’s revenue from the sales of item X to that from the sales of item Y?

(1) The store sells 20 percent more units of item Y than of item X.
(2) The store’s revenue from the sales of item X is $6,000 and from the sales of item Y is $8,000.

GMATinsight · Answer

If X and Y are the No. of items sold of X and Y, Then
X = 0.9Y
Let, Price of each item of X = a
and Price of each item of Y = b
Revenue of X = aX
Revenue of Y = bY

Question  : aX : bY = ? but since X/Y=0.9 so the question is a:b = ?

Statement 1 : b = 1.2a 
i.e. a/b = 5/6
SUFFICIENT

Statement 2 : aX = 6000 and bY = 8000 
i.e. aX/bY = 6000/8000
SUFFICIENT

Answer: option D

manishkhare · Answer

Price of Item Y =p so price of item X =.9p

From Option A:
Number of Items X=q ,Number Of Items Y=1.2q

Revenue from Item X=0.9pq

Revenue from Item Y=1.2pq

Ratio of Revenue = \frac{0.9pq}{1.2pq}

A is sufficient

From B :

The store’s revenue from the sales of item X is $6,000 and from the sales of item Y is $8,000.

Ratio Of revenue :  \frac{$6000}{$8000}

B is sufficient

Correct answer = D

Bunuel · Answer

VERITAS PREP OFFICIAL SOLUTION:

Question Type: What Is the Value?  This question asks for the ratio of revenue from sales of x to revenues from sales of y. So “revenue x: revenue y = ?”

Given information in the question stem or diagram: Item x sells for 10% less than item y.

Statement 2 is very clear on this problem so you should begin there.

Statement 2: The store’s revenue from sales of X = $6,000 and the revenue from sales of y = $8,000. This statement is clearly sufficient. The ratio is simply 6,000:8,000 or 3:4. The answer is either B or D. Note: This is a very good example of the construct “When one statement is very easy, the other will be hard and counterintuitive.” Everyone knows this is sufficient so there will be something tricky about Statement 1. Slow down and make sure you are not over- or underleveraging the given information in Statement 1.

Statement 1: The store sells 20% more of item y than item x. This statement, when combined with the given information, is sufficient. 20% more of item y is sold at 10% higher prices. Revenue = (Unit Price)(Number of Units). Conceptual understanding will allow you to stop at this point and realize that although you do not have the actual number of units or the actual price per unit, you can calculate the ratio of revenue from x to that of revenue from y. This is sufficient and  the answer is D . Note: Most people under-leverage this information because it does not give any hard number values. Using your hint from the other statement to dig deeper here, you should eventually realize that the percentage data is sufficient.

joondez · Answer

I wasn't able to see the connect within 2 minutes. I think for people with weaker quant skills, picking numbers is the easiest way to solve this problem.

Given:
Revenue = Price * Number sold
Xprice = 0.9*Yprice
We are looking for (Xrevenue/Yrevenue)
Choose some numbers: If Yprice = 10, then Xprice = 9

Statement 1:
Ysales = 1.2*Xsales
Choose some numbers: If Xsales = 10, then Ysales = 12
Xrevenue = 9*10 = 90
Yrevenue = 10*12 = 120
(Xrevenue/Yrevenue) = 90/120 = 3/4
Sufficient

Statement 2:
(Xrevenue/Yrevenue) = 6000/8000 = 3/4
Sufficient

Both are sufficient, so the answer is D

tapasgupta · Answer

Let Price of Item Y =y
Then price of item X = 9/10 *y = 0.9 y

And revenue = Sale price * no of items.

A) Let no of items of X = x
Then no of items of Y = 1.2x

So, Ratio of revenue = 0.9y*x/y*1.2x
 = 9/12 = 3/4 Sufficient

B) Ratio of Revenue = 6000$/8000$
 = 3/4 Sufficient

Hence Correct answer should be D.

CEdward · Answer

So admittedly, I got this wrong. But, I knew there was something ominous about St1.
I had the initial setup like this:

:

Which is actually the correct answer. But whenever ratios are written like so instead of division, it just becomes harder to see what to make of it.

bumpbot · Answer

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In a certain store, item X sells for 10 percent less than item Y. What

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In a certain store, item X sells for 10 percent less than item Y. What

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