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Question : Direction: The table below shows the percentage of literate people in 6 cities. This table also shows the ratio of males to females among literate people.

City Percentage of literate people Males : Females
1 80 4 : 5
2 85 7 : 4
3 78 3 : 2
4 63 1 : 1
5 92 9 : 7
6 58 2 : 3

Percentage of literate people of any city = $\frac{\text{Literate people of the city}}{\text{Total population of the city}} × 100$
If there are 2,59,210 literate females in city 5, what is the total population of city 5?

Option 1: 6,44,000

Option 2: 3,54,200

Option 3: 6,90,000

Option 4: 4,83,000


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

Correct Answer: 6,44,000


Solution : Let the total number of population be $x$.
The number of literate individuals is given as 92% of $x$ = $\frac{92x}{100}$
It is given that the ratio of literate males to that of females is equal to $9:7$
According to the question,
The total number of literate females in city 5 is equal to 259210.
So, $\frac{92x}{100} \times \frac{7}{(7 + 9)} = 259210$
⇒ $x = \frac{(259210 × 16 × 100)}{(92 × 7)}$
⇒ $x= 6,44,000$
Hence, the correct answer is 6,44,000.

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