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.

Answer 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

Answer 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`