Advertisements
Advertisements
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.
Advertisements
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`
APPEARS IN
RELATED QUESTIONS
If 60% people in city like cricket, 30% like football, and the remaining like other games, then what percentage of the people like other games? If the total number of people is 50 lakh, find the exact number who like each type of game.
Convert the following percentage to fractions and ratio:
2.5%
Find the duplicate ratio of the following :
`2/3 : 4/9`
State true or false :
A ratio equivalent to 7 : 9 is 27 : 21.
Find the third proportional of 1.6 and 0.8
Three numbers are in the ratio `(1)/(2) : (1)/(3) : (1)/(4)` If the sum of their squares is 244, find the numbers.
The ratio of the number of boys to the number of girls in a school of 560 pupils is 5 : 3. If 10 new boys are admitted, find how many new girls may be admitted so that the ratio of the number of boys to the number of girls may change to 3 : 2.
Choose the correct answer from the given options :
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 288, then the smaller number is
If a : b = 9 : 10, find the value of `(5a + 3b)/(5a - 3b)`
The marked price of a table is Rs. 625 and its sale price is Rs. 500. What is the ratio of the sale price to the marked price?
