Sure, let's solve this step-by-step.
1. Determine the percentage of people who like other games:
- We are given that 60% of the people like cricket and 30% like football.
- First, we add the percentages of people who like cricket and football:
[tex]\[
60\% + 30\% = 90\%
\][/tex]
- Since percentages need to total 100%, the percentage of people who like other games is:
[tex]\[
100\% - 90\% = 10\%
\][/tex]
Therefore, 10% of the people like other games.
2. Calculate the total number of people:
- We are given that the total number of people in the city is 50 lakh, i.e., 5,000,000.
3. Calculate the number of people who like cricket:
- We know that 60% of the people like cricket.
- To find the number of people who like cricket, we use the total population and the percentage:
[tex]\[
\text{Number of people who like cricket} = \left( \frac{60}{100} \right) \times 5,000,000
\][/tex]
[tex]\[
= 0.60 \times 5,000,000
\][/tex]
[tex]\[
= 3,000,000
\][/tex]
Therefore, 3,000,000 people like cricket.
4. Calculate the number of people who like football:
- We know that 30% of the people like football.
- To find the number of people who like football, we use the total population and the percentage:
[tex]\[
\text{Number of people who like football} = \left( \frac{30}{100} \right) \times 5,000,000
\][/tex]
[tex]\[
= 0.30 \times 5,000,000
\][/tex]
[tex]\[
= 1,500,000
\][/tex]
Therefore, 1,500,000 people like football.
5. Calculate the number of people who like other games:
- We know that 10% of the people like other games.
- To find the number of people who like other games, we use the total population and the percentage:
[tex]\[
\text{Number of people who like other games} = \left( \frac{10}{100} \right) \times 5,000,000
\][/tex]
[tex]\[
= 0.10 \times 5,000,000
\][/tex]
[tex]\[
= 500,000
\][/tex]
Therefore, 500,000 people like other games.
Summary:
- The percentage of people who like other games is 10%.
- The number of people who like cricket is 3,000,000.
- The number of people who like football is 1,500,000.
- The number of people who like other games is 500,000.
