What was the ratio of the number of shares of stock X to shares of

Question

What was the ratio of the number of shares of stock X to shares of stock Y in Quinn's portfolio 60 days ago?

(1) 60 days ago, if Quinn had purchased 13 more shares of stock X, the ratio of shares of stock X to shares of stock Y in her portfolio would be 3:2

(2) 60 days ago, if Quinn had purchased 5% more shares of stock X, her portfolio would have contained 50% more shares of stock X than shares of stock Y.

This is a  Data Sufficiency Butler Question

Check the links to other Butler Projects:

Data Sufficiency Butler  
  Problem Solving Butler  
  Reading Comprehension Butler  
  Data Insights Butler

Whoisdmx15 · Answer

ratio of the number of shares of stock X to shares of stock Y in Quinn's portfolio 60 days ago?
Let x be number of shares of stock X and y be number of shares of stock Y.
We need to find  \frac{x}{y}

(1) 60 days ago, if Quinn had purchased 13 more shares of stock X, the ratio of shares of stock X to shares of stock Y in her portfolio would be 3:2

This statement gives us the following relation:

\frac{(x+13)}{y}=\frac{3}{2}

As can be seen the ratio cannot be determined without the knowledge of either x of y. Hence  Not sufficient

(2) 60 days ago, if Quinn had purchased 5% more shares of stock X, her portfolio would have contained 50% more shares of stock X than shares of stock Y.

This statement gives us the following relation:

\frac{(1.05*x)}{y}= \frac{3}{2}

Here the ration  \frac{x}{y}  can be determined.  Hence Suitable

IMO Ans B

AVMachine · Answer

E.

Nowhere has it mentioned anything about Y shares. Whether they are constant or not cannot be ascertained from the information given.

bhargavhhhhhhhh · Answer

- We need to find the ratio of shares of stock X to shares of stock Y in Quinn's portfolio 60 days ago.

Step 1: Define variables:
- Let X = Number of shares of stock X.
- Let Y = Number of shares of stock Y.

We need to find the ratio X:Y.

Step 2: Analyze the statements.

(1) 60 days ago, if Quinn had purchased 13 more shares of stock X, the ratio of shares of stock X to shares of stock Y in her portfolio would be 3:2.
- This means: (X + 13) / Y = 3 / 2.
- From this, we can form the equation: 2(X + 13) = 3Y.
- This provides a relationship between X and Y, but it doesn't directly give us the ratio X:Y. We need further information to solve.

(2) 60 days ago, if Quinn had purchased 5% more shares of stock X, her portfolio would have contained 50% more shares of stock X than shares of stock Y.
- This means: (X + 0.05X) = 1.5Y.
- Simplifying: 1.05X = 1.5Y.
- This provides another equation linking X and Y.

Step 3: Combine the statements.
- From (1): 2(X + 13) = 3Y.
- From (2): 1.05X = 1.5Y.
- By solving these two equations, we can find the values of X and Y and determine the ratio X:Y.

Answer: E. Both statements together are sufficient.

bumpbot · Answer

Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.

What was the ratio of the number of shares of stock X to shares of

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

What was the ratio of the number of shares of stock X to shares of

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards