Question

If 60 percent of people in a city like cricket, 30 percent like football and the remaining like other games, then what percent 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.

Answer 1

Hint: Here, we will proceed by subtracting the sum of all the given percentages from 100 percent in order to obtain the percentage of the people liking other games. Then, we will use the concept of percentage.

Complete step-by-step answer:

Given, Percentage of people who like cricket = 60 percent
Percentage of people who like football = 30 percent
Total number of people in the city = 50 lakh =50,00,000
As we know that
Percentage of people who like cricket + Percentage of people who like football + Percentage of people who like other games = 100 percent
$ \Rightarrow $60 percent + 30 percent + Percentage of people who like other games = 100 percent
$ \Rightarrow $Percentage of people who like other games = (100-60-30) = 10 percent
So, only 10 percent of people in the city like other games.
Since, Number of people who like cricket = 60 percent of the total number of people in the city
$ \Rightarrow $Number of people who like cricket $ = \left( {\dfrac{{60}}{{100}}} \right) \times 50,00,000 = 30,00,000$ = 30 lakh
Number of people who like football = 30 percent of the total number of people in the city
$ \Rightarrow $Number of people who like football $ = \left( {\dfrac{{30}}{{100}}} \right) \times 50,00,000 = 15,00,000$ = 15 lakh
Number of people who like other games = 10 percent of the total number of people in the city
$ \Rightarrow $Number of people who like other games $ = \left( {\dfrac{{10}}{{100}}} \right) \times 50,00,000 = 5,00,000$ = 5 lakh

Note: In this particular problem, it is given that the people in the city like cricket or football or other games (i.e., there is no person who doesn’t like any game) that’s why the sum of the percentage of people liking cricket, football and other games is equal to 100 percent. Also, Number of Type A items = $\left( {\dfrac{{{\text{Percentage of type A items}}}}{{100}}} \right) \times $Total number of items.