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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


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

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.

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