If 60% of students play cricket, 40% play football, and 10% play both, what perc

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Question: If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only one sport?

Options:

Correct Answer: 80%

Solution:

The percentage playing only cricket is 60% - 10% = 50%, and only football is 40% - 10% = 30%. Thus, total playing only one sport is 50% + 30% = 80%.

If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only one sport?

If 60% of students play cricket, 40% play football, and 10% play both, what percentage of students play only one sport?

Step 1: Identify the percentage of students who play cricket, which is 60%.
Step 2: Identify the percentage of students who play football, which is 40%.
Step 3: Identify the percentage of students who play both sports, which is 10%.
Step 4: Calculate the percentage of students who play only cricket by subtracting the percentage of students who play both from those who play cricket: 60% - 10% = 50%.
Step 5: Calculate the percentage of students who play only football by subtracting the percentage of students who play both from those who play football: 40% - 10% = 30%.
Step 6: Add the percentages of students who play only cricket and only football to find the total percentage of students who play only one sport: 50% + 30% = 80%.

Set Theory – Understanding the relationships between different groups (students playing cricket, football, and both) using Venn diagrams or basic set operations.
Percentage Calculation – Calculating percentages based on given data and understanding how to manipulate them to find specific subsets.