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.

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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.

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

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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)

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745 with Only Self-Prep and GMAT Club

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Perfect 805 Score Debrief by Julia

My Rewards