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Data Interpretation · Question 75 of 75

In the Srinagar school's survey shown in the chart, exactly half of the 1,200 students are girls, and 40% of…

Question 75

HardOriginal question

In the Srinagar school's survey shown in the chart, exactly half of the 1,200 students are girls, and 40% of the students who chose cricket are girls. What percentage of the girls chose cricket?

Pie chart titled Students' favourite sport. Cricket 35%; Football 20%; Badminton 18%; Kabaddi 15%; Hockey 12%.
Options for question 75

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Cricket fans: 35% of 1,200=42035\% \text{ of } 1{,}200 = 420. Girls among them: 40% of 420=16840\% \text{ of } 420 = 168.

  2. Girls in the school: half of 1,200=6001{,}200 = 600.

  3. Share of girls choosing cricket: 168600×100=28%\frac{168}{600} \times 100 = 28\%.

Worth noting

40% of cricket fans are girls is not the same as 40% of girls liking cricket: the base changes from cricket fans to girls. 40% is the share of girls among cricket fans, which answers a different question. 60% is the boys' share of cricket fans. 35% is cricket's share of all students.

Concept
Changing the base of a percentage
Typical time
120 s
Your time
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The rule this testsPie charts
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