Question 19

The total number of stocks listed is 200.

To determine the total number of stocks listed, we can analyze the provided information. If 34 stocks closed at the same price, and 48% closed higher, this implies that the remaining 52% closed lower. By calculating the total based on these percentages, we arrive at 200 stocks.

A) 200

This option is correct because if we consider 100% of the stocks listed as X, and we know that 48% closed higher and 34 stocks remained the same, we can set up the equation. If 52% of X equals the number of stocks that closed lower, and 48% of X plus 34 equals X, we can solve for X to find that it equals 200.

B) 160

This option is incorrect because if there were 160 stocks listed, 48% of 160 would equal 76.8 stocks closing higher, which is not possible since we can only have whole stocks. Thus, this choice does not satisfy the conditions of the problem.

C) 150

This option is incorrect as well. With 150 stocks, 48% would mean 72 stocks closing higher. Consequently, the number of stocks closing lower would be 150 - 34 - 72 = 44, which does not align with the stated percentages since it should equate to 52% of 150.

D) 100

This option is incorrect because if there were 100 stocks, then 48% would be 48 stocks closing higher. This would lead to 100 - 34 - 48 = 18 stocks closing lower, which does not match the expected breakdown of percentages.

E) 50

This option is incorrect as well. If only 50 stocks were listed, 48% would indicate 24 stocks closing higher. This would mean that 50 - 34 - 24 = -8 stocks would be closing lower, which is not feasible and contradicts the information provided.

Conclusion

The only option that satisfies the conditions of the problem is 200 stocks. It aligns with the percentage distribution of stocks closing higher and lower while accounting for the 34 stocks that closed unchanged. All other options fail due to either resulting in non-integer values or not matching the given percentages accurately.