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
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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.
