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6. If 60% of people in a city like cricket, 30% 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.

Sagot :

GinnyAnsweridn
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.
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