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 =$\frac{\text{Literate people of the city}}{\text{Total population of the city}} × 100$
The populations of the 6 cities are 250000$,$ 200000$,$ 220000$,$ 300000$,$ 150000 and 400000 respectively. What is the correct order of the number of literate people in these cities?
Option 1: City 6 > City 1 > City 4 > City 2 > City 3 > City 5
Option 2: City 4 > City 6 > City 1 > City 2 > City 3 > City 5
Option 3: City 6 > City 4 > City 1 > City 3 > City 2 > City 5
Option 4: City 6 > City 1 > City 4 > City 3 > City 2 > City 5
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Correct Answer: City 6 > City 1 > City 4 > City 3 > City 2 > City 5
Solution :
In city 1, there are 80% of 250000 literate people,
i.e. $80 \times \frac{250000}{100}=200000$ literate people.
In city 2, there are 85% of the 200000 literate people,
i.e. $85 \times \frac{200000}{100}=170000$ literate people.
In city 3, there are 78% of 220000 literate people,
i.e. $78 \times \frac{220000}{100}=171600$ literate people.
In city 4, there are 63% of 300000 literate people,
i.e. $63 \times \frac{300000}{100}=189000$ literate people.
In city 5, there are 92% of 150000 literate people,
i.e. $92 \times \frac{150000}{100}=138000$ literate people.
In city 6, there are 58% of 400000 literate people,
i.e. $58 \times \frac{400000}{100}=232000$ literate people.
So, the order is City 6 > City 1 > City 4 > City 3 > City 2 > City 5.
Hence, the correct answer is City 6 > City 1 > City 4 > City 3 > City 2 > City 5.