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Question

The following pie charts show the distribution of students studying Science and Commerce in three different schools namely A, B, C.
The ratio of the number of students studying Science to that studying Commerce in school B is:

A
3:4
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B
2:3
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C
1:2
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D
1:1
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Solution

The correct option is C 1:2
Step 1: Given, total number of students in Science =400

Central angle of the school B sector =90
Number of students studying Science in school B
= Total number of students in Science × Fraction of school B
=400×90360
=400×14
=100

Step 2: Total number of students in Commerce =600

Central angle of the school B sector =120
Number of students studying Commerce in school B
= Total number of students in Commerce × Fraction of school B
=600×120360
=600×13
=200

Step 3: Ratio of the number of students studying Science to that studying Commerce in school B
=Number of students studying Science in school B : Number of students studying Commerce in school B
=100:200
Divide both sides by 100
=100100:200100
=1:2

Option(c.) is the correct choice.

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