A city of Rajasthan has population 3,00,000, out of which 1,80,000 are male…
2022
A city of Rajasthan has population 3,00,000, out of which 1,80,000 are male and 50% of the total population is literate. If 70% of the males are literate, then the number of illiterate females is
Answer: C. 96,000 — Concept: A population-partition percentage problem splits the whole population into two groups (here, male and female). When the literacy percentage is known…
- A.
93,000
- B.
94,000
- C.
96,000
- D.
97,000
Attempted by 22 students.
Show answer & explanation
Correct answer: C
Concept: A population-partition percentage problem splits the whole population into two groups (here, male and female). When the literacy percentage is known for the whole population and for one group, the literate count of the other group equals the whole's literate count minus that group's literate count; the illiterate count of a group is then its total minus its literate count.
Application:
Female population = Total population − Male population = 3,00,000 − 1,80,000 = 1,20,000.
Total literate population = 50% of 3,00,000 = 1,50,000.
Literate males = 70% of 1,80,000 = 1,26,000.
Literate females = Total literate − Literate males = 1,50,000 − 1,26,000 = 24,000.
Illiterate females = Female population − Literate females = 1,20,000 − 24,000 = 96,000.
Cross-check: Illiterate males = 1,80,000 − 1,26,000 = 54,000, so total illiterate = 54,000 + 96,000 = 1,50,000, which matches 3,00,000 − 1,50,000 obtained directly from the overall literacy rate — confirming the result.
So the number of illiterate females is 96,000.