The following table shows the percentage distribution of population in five…
2024
The following table shows the percentage distribution of population in five different age groups for five different cities A–E. Based on the data in the table, answer the questions that follow.
City-wise Details of Population
Note: a < Age ≤ b means age belonging to group [a, b]
If the total population of City-B and City-E are 96000 and 130000, respectively, then the population of City-E in the age group of (0,13] years is approximately ___% more than the population of City-B in the same age group.
- A.
47.24
- B.
49.67
- C.
52.34
- D.
57.5
Show answer & explanation
Correct answer: C
First, calculate the population of City-B in the age group (0, 13]. From the table, this is 16% of the total population.
Population of City-B (0, 13] = 16% of 96,000 = 0.16 × 96,000 = 15,360.
Next, calculate the population of City-E in the age group (0, 13]. From the table, this is 18% of the total population.
Population of City-E (0, 13] = 18% of 130,000 = 0.18 × 130,000 = 23,400.
Finally, find the percentage by which City-E's population is more than City-B's.
Difference = 23,400 - 15,360 = 8,040.
Percentage Increase = (8,040 / 15,360) × 100 ≈ 52.34%.