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If there are 32 girls in the class and the ratio of girls to boys is 16 : 9, then what percentage (%) of the girls are in the class?
1. 32%
2. 48%
3. 64%
4. 80%

1 Answer

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Correct Answer - Option 3 : 64%

Given:

Number of girls = 32 

The ratio of girls and Boys = 16 : 9

Concept:

percentage = (part/whole) × 100

Solution: 

Let the number = y 

Then,

Girls : boys = 16y : 9y

⇒ 16y = 32 

⇒ y = 2 

Now (put the value of y) boys = 9 × 2 = 18 

Total number girls and boys = 32 + 18 = 50 

Percentage = (32/50) × 100 = 64%

∴ The % of girls is 64%

 

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