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In a class, 75% if students are above 150 cm in height and of these 30% are girls and the rest are boys. If there are 105 boys who are above 150 cm. Find the total number of students in a class 
1. 160
2. 30
3. 200
4. 150

1 Answer

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Correct Answer - Option 3 : 200

Given

Percentage of students above 150 cm in height = 75%

Calculation

Let the number of students in a class above 150 cm is x

Percentage of boys who are above 150 cm  = ( 100 - 30)%

⇒ 70%

70% of x = 105

⇒ x = (105 × 100)/70

⇒ x = 150

Total number of students who are above 150 cm is 150

Let the total number of students in a class is y

⇒ 75% of y = 150

⇒ y = (150 × 100)/75

⇒ y = 200

∴ Total number of students is 200.

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