Question : Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows.
The number of students who obtained less than 250 marks is what percentage more than the number of students who obtained 400 or more marks? (correct to one decimal place)
Option 1: 150%
Option 2: 175.8%
Option 3: 114.3%
Option 4: 100%
Correct Answer: 114.3%
Solution :
The number of students who obtained less than 250 marks = 30 + 45 = 75
The number of students who obtained 400 or more marks = 35
So, the required percentage = $\frac{(75 - 35)}{35}× 100$
= ($\frac{40}{35}$) × 100
= 114.3%
$\therefore$ The number of students who obtained less than 250 marks is 114.3% more than the number of students who obtained 400 or more marks.
Hence, the correct answer is 114.3%.
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