Question

The year in which the most substantial percentage increase in market value for any share is recorded is:

• A. 2019-20
• B. 2021-22
• C. 2020-21
• D. 2018-19
• A. Company C
• B. Company A
• C. Company B
• D. Company D
• A. 45
• B. 60
• C. 35
• D. 10
• A. 2022-23
• B. 2019-20
• C. 2020-21
• D. 2021-22

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
We need to find the year which saw the single largest percentage increase for any of the four companies compared to the previous year.
Step 2: Key Formula or Approach:
\[ \text{Percentage Increase} = \frac{\text{Current Year Value} - \text{Previous Year Value}}{\text{Previous Year Value}} \times 100% \] We will calculate this for all positive changes and identify the maximum.
Step 3: Detailed Explanation:
By visual inspection, the steepest upward slopes appear to be for Company A (2018-19 to 2019-20) and Company D (2017-18 to 2018-19). Let's calculate these and other major increases.
- Company A (2019-20): \( \frac{322.5 - 272.5}{272.5} \times 100% = \frac{50}{272.5} \times 100% \approx 18.3% \)
- Company C (2020-21): \( \frac{207.5 - 185.0}{185.0} \times 100% = \frac{22.5}{185.0} \times 100% \approx 12.2% \)
- Company D (2018-19): \( \frac{160.0 - 135.0}{135.0} \times 100% = \frac{25}{135.0} \times 100% \approx 18.5% \)
Comparing the calculated increases, the largest is approximately 18.5% for Company D. This increase was recorded in the year 2018-19.
Step 4: Final Answer:
The most substantial percentage increase is recorded in the year 2018-19.

Answer 2

Step 1: Understanding the Question:
This question asks for the company that had the highest percentage increase in any single year.
Step 2: Key Formula or Approach:
This question is directly answered by the calculation performed for the previous question (Q.25). We need to identify the company corresponding to the highest percentage increase found.
Step 3: Detailed Explanation:
From the analysis in Q.25, we calculated the most significant percentage increases for each year:
- The largest percentage increase found was approximately 18.5%.
- This increase occurred for Company D between the years 2017-18 and 2018-19.
Step 4: Final Answer:
Company D exhibits the most significant percentage increase.

Answer 3

Step 1: Understanding the Question:
The question asks for the maximum immediate profit one could make by performing a specific transaction at the end of any of the given years. The transaction is: Sell 1 share of C, sell 1 share of D, and use the proceeds to buy 1 share of A. The "gain" here refers to the cash left over after the transaction.
Step 2: Key Formula or Approach:
\[ \text{Gain at year-end} = (\text{Value of Company C} + \text{Value of Company D}) - \text{Value of Company A} \] We will calculate this gain for the end of each year from 2017-18 to 2022-23 and find the maximum.
Step 3: Detailed Explanation:
- 2017-18: (185.0 + 135.0) - 285.0 = 320.0 - 285.0 = 35
- 2018-19: (172.5 + 160.0) - 272.5 = 332.5 - 272.5 = 60
- 2019-20: (185.0 + 160.0) - 322.5 = 345.0 - 322.5 = 22.5
- 2020-21: (207.5 + 137.5) - 297.5 = 345.0 - 297.5 = 47.5
- 2021-22: (185.0 + 145.0) - 285.0 = 330.0 - 285.0 = 45
- 2022-23: (172.5 + 147.5) - 310.0 = 320.0 - 310.0 = 10
Comparing the gains for each year, the maximum value is 60.
Step 4: Final Answer:
The potential maximum gain is 60.

Answer 4

Step 1: Understanding the Question:
We need to find the year (interval) in which the largest change in value, regardless of whether it's an increase or decrease, occurred for any single company.
Step 2: Key Formula or Approach:
Absolute Change = \( |\text{Current Year Value} - \text{Previous Year Value}| \) We will calculate this for all companies and all year intervals to find the maximum.
Step 3: Detailed Explanation:
Let's find the largest absolute change in each year interval:
- 2018-19: The largest change is for Company D: \( |160.0 - 135.0| = 25.0 \)
- 2019-20: The largest change is for Company A: \( |322.5 - 272.5| = 50.0 \)
- 2020-21: The largest change is for Company A: \( |297.5 - 322.5| = 25.0 \)
- 2021-22: The largest change is for Company C: \( |185.0 - 207.5| = 22.5 \)
- 2022-23: The largest change is for Company A: \( |310.0 - 285.0| = 25.0 \)
The greatest absolute change among all these is 50.0, which occurred for Company A in the year 2019-20.
Step 4: Final Answer:
The year with the greatest absolute change is 2019-20.