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

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Q: 143 (IAS/2001)
A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, the number of literate females is

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,4,4,4,0,3,1

keywords: 

{'population': [3, 1, 2, 1], 'literate females': [0, 0, 1, 0], 'males': [0, 0, 0, 1], 'number': [0, 0, 0, 2], 'city': [20, 2, 8, 20]}

To find the number of literate females, we first need to calculate the total number of literate people in the city.

The total population of the city is 300,000, and 50% of the population is literate. So the number of literate people in the city is:

300,000 * 0.5 = 150,000

Now, we need to find the number of literate males. We know that 70% of the males are literate. The total number of males in the city is 180,000, so the number of literate males is:

180,000 * 0.7 = 126,000

To find the number of literate females, we subtract the number of literate males from the total number of literate people:

150,000 - 126,000 = 24,000

Therefore, the number of literate females is 24,000.