Question : Direction: The table given 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 = $\frac{\text{Literate people of the city}}{\text{Total population of the city}} × 100$
The total population of city 6 is 2,00,000 and the total population of city 2 is 2,20,000. What is the respective ratio of literate males of city 2 and literate females of city 6?
Option 1: 348 : 595
Option 2: 255 : 199
Option 3: 595 : 348
Option 4: 199 : 255
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Correct Answer: 595 : 348
Solution :
In city 6, there are 58% of the 2,00,000 literate people,
$=58 × \frac{200000}{100}=116000$ literate people
The ratio of literate males to females in city 6 = $2:3$
⇒ The number of literate females in city 6 is given as $3× \frac{116000}{(2 + 3)} = 69600$
In city 2, there are 85% of 2,20,000 literate individuals
$=85 × \frac{220000}{100}=187000$ literate people
The ratio of literate males to females in city 2 = $7:4$
Number of literate male is given as $7\times\frac{187000}{(7 + 4)}=119000$
⇒ The required ratio is $\frac{119000}{69600}=595 : 348$
Hence, the correct answer is 595 : 348.
