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% |
The difference between the illiterate population and the literate population of City C is
Answer: B. 9.5 lakh — ConceptA percentage distribution gives a part as (percentage ÷ 100) × the stated total. For a population, the literate and illiterate groups together make the…
- A.
8.5 lakh
- B.
9.5 lakh
- C.
10.5 lakh
- D.
20.5 lakh
Attempted by 2 students.
Show answer & explanation
Correct answer: B
Concept
A percentage distribution gives a part as (percentage ÷ 100) × the stated total. For a population, the literate and illiterate groups together make the total population.
Thus, first find the city’s total population and its literate population; then obtain the illiterate population by subtraction and compare the two groups.
Application
City C’s total population = 21% of 150 lakh = 0.21 × 150 = 31.5 lakh.
Literate males in City C = 20% of 40 lakh = 0.20 × 40 = 8 lakh.
Literate females in City C = 12% of 25 lakh = 0.12 × 25 = 3 lakh.
Total literate population in City C = 8 + 3 = 11 lakh.
Illiterate population in City C = 31.5 − 11 = 20.5 lakh.
Cross-check
The two groups reconstruct the city total: 20.5 + 11 = 31.5 lakh. Their difference is 20.5 − 11 = 9.5 lakh.
Therefore, the required difference is 9.5 lakh.