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 male are literate, then the number of illiterate female is :

Correct option is C

A city of Rajasthan has a population of 3,00,000, out of which 1,80,000 are males, and 50% of the total population is literate. If 70% of the males are literate, find the number of illiterate females.

Solution:

Given:

1. Total population = 3,00,000
2. Male population = 1,80,000
- Female population = Total population - Male population = 3,00,000 - 1,80,000 = 1,20,000
3. Literate population = 50% of total population = (50/100) × 3,00,000 = 1,50,000
4. Literate males = 70% of male population = (70/100) × 1,80,000 = 1,26,000

Step 1: Calculate Literate Females.

Literate population = Literate males + Literate females
Literate females = Literate population - Literate males
= 1,50,000 - 1,26,000 = 24,000

Step 2: Calculate Illiterate Females.

Illiterate females = Total female population - Literate females
= 1,20,000 - 24,000 = 96,000

Final Answer:

The number of illiterate females is 96,000