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The following data grid presents the cargo volume handled (in thousands of Metric Tonnes, '000 MT) across five maritime ports from FY 2021–22 to FY 2024–25:

PortFY 2021–22FY 2022–23FY 2023–24FY 2024–25
Port Alpha450540648777.6
Port Beta800720648583.2
Port Gamma300375450562.5
Port Delta600660792871.2
Port Epsilon500550605726

Which of the following statements regarding the performance of these ports are correct? Select all that apply.

  1. Port Alpha registered a constant year-on-year cargo growth rate of 20% across all three consecutive periods.Cevap
  2. The combined total cargo volume handled by all five ports increased by more than 30% in FY 2024–25 compared to FY 2021–22.Cevap
  3. C
    Port Beta accounted for more than 20% of the total cargo volume handled across all five ports in FY 2024–25.
  4. D
    Port Gamma achieved the largest absolute increase in cargo volume between FY 2021–22 and FY 2024–25.

Cevap

The statements confirming that Port Alpha registered a constant year-on-year growth rate of 20% and that the combined total cargo volume grew by more than 30% are correct.
The statement regarding Port Alpha is correct because the year-on-year growth rate is uniformly 20%20\% for every year (90/450=20%90/450 = 20\%, 108/540=20%108/540 = 20\%, and 129.6/648=20%129.6/648 = 20\%). The statement regarding combined total growth is also correct because the total cargo grew from 26502650 thousand MT to 3520.53520.5 thousand MT, which equals a 32.85%32.85\% increase—clearly exceeding 30%30\%.

Adım Adım Çözüm

1
Calculate year-on-year percentage growth for Port Alpha.
FY 21–22 to 22–23: (540−450)/450=0.20(540 - 450) / 450 = 0.20 (20%20\%). FY 22–23 to 23–24: (648−540)/540=0.20(648 - 540) / 540 = 0.20 (20%20\%). FY 23–24 to 24–25: (777.6−648)/648=0.20(777.6 - 648) / 648 = 0.20 (20%20\%).
Verify if the annual growth rate remains constant across all three consecutive periods.
2
Calculate total cargo volume for FY 2021–22 and FY 2024–25 across all ports.
Total FY 2021–22 =450+800+300+600+500=2650= 450 + 800 + 300 + 600 + 500 = 2650 thousand MT. Total FY 2024–25 =777.6+583.2+562.5+871.2+726=3520.5= 777.6 + 583.2 + 562.5 + 871.2 + 726 = 3520.5 thousand MT.
Determine the combined aggregate performance for percentage growth evaluation.
3
Compute total overall growth percentage from FY 2021–22 to FY 2024–25.
Percentage Growth =3520.5−26502650×100%=870.52650×100%≈32.85%= \frac{3520.5 - 2650}{2650} \times 100\% = \frac{870.5}{2650} \times 100\% \approx 32.85\%.
Compare calculated growth (32.85%32.85\%) against the target threshold of 30%30\%.
4
Calculate Port Beta's share of total cargo in FY 2024–25.
Share =583.23520.5×100%≈16.57%= \frac{583.2}{3520.5} \times 100\% \approx 16.57\%.
Test whether Port Beta's share exceeded 20%20\% in FY 2024–25.
5
Compare absolute growth values across all ports between FY 2021–22 and FY 2024–25.
Alpha: 327.6327.6, Beta: −216.8-216.8, Gamma: 262.5262.5, Delta: 271.2271.2, Epsilon: 226.0226.0.
Identify the port with the maximum absolute increase.

Anahtar Kavram

Tabular Data Interpretation: Multi-Period Rate Analysis and Baseline Distinctions
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