The following table shows the percentage (%) distribution of total population,…
2022
The following table shows the percentage (%) distribution of total population, literate males and literate females in six cities A-F. In all six cities together, total population, number of literate males and number of literate females are 1.5 crore, 40 lakh and 25 lakh, respectively. Ratio of males to females among the total population is 8 : 7. Based on the data in the table, answer the questions 1-5:
City-wise Distribution of Population
City | Population (out of 1.5 crore) | Literate Males (out of 40 lakh) | Literate Females (out of 25 lakh) |
|---|---|---|---|
A | 16% | 18% | 24% |
B | 18% | 12% | 18% |
C | 21% | 20% | 12% |
D | 15% | 16% | 16% |
E | 20% | 19% | 20% |
F | 10% | 15% | 10% |
Literate population of City E is .......... % of the population of E.
Answer: D. 42 — ConceptWhen a subgroup is given as a percentage of a larger total, first convert that subgroup percentage into an absolute count. For combined subgroups, add…
- A.
40
- B.
64
- C.
96
- D.
42
Attempted by 2 students.
Show answer & explanation
Correct answer: D
Concept
When a subgroup is given as a percentage of a larger total, first convert that subgroup percentage into an absolute count.
For combined subgroups, add their absolute counts and then use: required percentage = (combined subgroup count ÷ relevant total) × 100.
Application
City E population = 20% of 1.5 crore = 0.30 crore = 30 lakh.
Literate males in City E = 19% of 40 lakh = 7.6 lakh.
Literate females in City E = 20% of 25 lakh = 5 lakh.
Total literate population of City E = 7.6 lakh + 5 lakh = 12.6 lakh.
Required percentage = (12.6 ÷ 30) × 100 = 42%.
Cross-check
Taking 42% of City E population gives 0.42 × 30 lakh = 12.6 lakh, which equals the sum of its literate males and literate females.
Therefore, the literate population of City E is 42% of its population.