The chart shows the breakdown of the stock holdings in one investors

Question

Data Insights (DI) Butler 2023-24 Click here for Details ] https://gmatclub.com/forum/download/file.php?mode=view&id=73749 The chart shows the breakdown of the stock holdings in one investor’s portfolio, by number of company stocks held, each company’s market capitalization type (Large, Mid, or Small), and the type of stock (Growth, Core, or Value). Based on the given information, fill in the blanks in each of the following statements. 1.1 The Growth stocks in the investor’s portfolio represent GRAPH_1_PLACEHOLDER % of the total portfolio. 1.2 The investor has GRAPH_2_PLACEHOLDER times as many Large Cap stocks in her portfolio as Small Cap stocks. 12 (1).jpg

Aniket03 · Answer

Hi,

Could you please provide solution for this problem ?

DongTan · Answer

Can you explain this question?

My answers are as follows:
From the chart, we have the following numbers:

Small cap - Growth: 8
Small cap - Core: 9
Small cap - Value: 12
Mid cap - Growth: 6
Mid cap - Value: 13
Large cap - Growth: 11
Large cap - Value: 17
Large cap - Core: 12

To find x, the percentage of Growth stocks in the investor's portfolio, we need to determine the total number of stocks and the number of Growth stocks:

Total number of Growth stocks = Small cap - Growth + Mid cap - Growth + Large cap - Growth
= 8 + 6 + 11 = 25

Total number of stocks = Sum of all stocks in each category (Small cap, Mid cap, Large cap)
= (8 + 9 + 12) + (6 + 13) + (11 + 17 + 12)
= 29 + 19 + 40
= 88

Percentage of Growth stocks = (Number of Growth stocks / Total number of stocks) * 100
= (25 / 88) * 100
≈ 28.41%

Therefore, x ≈ 28.41. The Growth stocks in the investor's portfolio represent approximately 28.41% of the total portfolio.

To find y, the ratio of Large Cap stocks to Small Cap stocks:

Number of Large Cap stocks = Large cap - Growth + Large cap - Value + Large cap - Core
= 11 + 17 + 12
= 40

Number of Small Cap stocks = Small cap - Growth + Small cap - Core + Small cap - Value
= 8 + 9 + 12
= 29

Ratio of Large Cap stocks to Small Cap stocks = Number of Large Cap stocks / Number of Small Cap stocks
= 40 / 29
≈ 1.38 (rounded to two decimal places)

Therefore, y ≈ 1.38. The investor has approximately 1.38 times as many Large Cap stocks in her portfolio as Small Cap stocks.

SN_09 · Answer

Sajjad1994  - can you please post the official explanation for this one? There seems to be a mismatch in the answers, not sure how to reconcile.

For the first one, the answer is somewhere around 28% (and we dont have that as an option in the dropdown). How are we getting a 35?

For the second one as well, what  DongTan  has mentioned above, looks to be the correct approach.

Please provide the detailed solution if possible, thank you!

Ipsita! · Answer

Kindly provide the official explanation.What Dongtan has done seems to be the best approach

Posted from my mobile device

Sajjad1994 · Answer

Official Explanation

The investor has 20 Large Cap Growth stocks, 8 Small Cap Growth stocks, and 6 Mid Cap Growth stocks, for a total of 34 Growth stocks. In total, the investor has 96 stocks in her portfolio. Therefore, the percentage of growth stocks in the portfolio is:

\frac{34}{96}(100) = 35.42 %

The correct answer is (C).

The investor has 20 Large Cap Growth, 17 Large Cap Value, and 11 Large Cap Core stocks, for a total of 48 Large Cap stocks. She has 12 Small Cap Value, 9 Small Cap Core, and 8 Small Cap Growth stocks, for a total of 29 Small Cap stocks. If the investor has n times as many Large Cap stocks in her portfolio as Small Cap stocks, then:

48=29n

n=1.66

The correct answer is (C).

Gemmie · Answer

1.1 The Growth stocks in the investor’s portfolio represent   % of the total portfolio.

Growth: 20 + 6 + 8 = 34
Value: 17 + 13 + 12 = 42
Core: 11 + 9 = 20

Total: 34 + 42 + 20 = 96

% Growth:  \frac{34}{96} = 35.42 %

1.2 The investor has   times as many Large Cap stocks in her portfolio as Small Cap stocks.

L: 20 + 17 + 11 = 48
S: 12 + 9 + 8 = 29

\frac{L}{S} = \frac{48}{29} = 1.66

sghosh1096 · Answer

Q1 The Growth stocks in the investor’s portfolio represent   ____  % of the total portfolio. 
Growth stocks = Small cap Growth+ Mid cap growth+ Large cap growth = 8+6+20=34
total stocks=96
growth stocks in % of whole=100*34/96
now use approximation to find the value, 34/96 should be slightly bigger than 0.34 hence 35.42%

Q2 The investor has   ____   times as many Large Cap stocks in her portfolio as Small Cap stocks. 
 total large cap stocks= LC value+ LC growth + LC core = 48 
 total small cap stocks = SC value + SC growth + SC core = 29 
 required fraction = 48/29 
 using approximation, the value should be larger than 1.5 and less than 2 (as fraction is 1+19/29) only option is 1.66

The chart shows the breakdown of the stock holdings in one investors

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