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Question
The population of the town is 180,000, out of which males are `1/3` of the whole population. Find the number of females. Also, find the ratio of the number of females to the whole population.
Solution 1
Total population = 1,80,000
Population of males = `1/3` × 1,80,000 = 60,000
∴ Population of females = 1,80,000 – 60,000 = 1,20,000
The ratio of females to the whole population
= 1,20,000 : 1,80,000 = 12 : 18 = 2 : 3
Solution 2
The total population of the town = 180,000
The number of males = `1/3` of the total population
Number of males `=1/3×1,80,000=60,000`
The number of females will be the remainder of the population after subtracting the number of males:
Number of females = Total population − Number of males
Number of females = 1,80,000 − 60,000 = 1,20,000
Ratio of females to total population `= ("Number of females")/("Total population") = 120000/180000`
Simplify the fraction:
Ratio `= (120000div60000)/(180000div60000)=2/3`
The number of females is 120,000
The ratio of females to the total population is `2/3`
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