Question : Directions: Study the following histogram of marks in mathematics (out of 50) of students in a class and answer the following question.
The percentage of number of passed students is (31 is the pass marks):
Option 1: $85\frac{8}{9}$%
Option 2: $86\frac{8}{9}$%
Option 3: $87\frac{8}{9}$%
Option 4: $88\frac{8}{9}$%
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Correct Answer: $88\frac{8}{9}$%
Solution :
The total number of students in the class = 15 + 20 + 40 + 50 + 10 = 135
The number of the successful students = 20 + 40 + 50 + 10 = 120
$\therefore$ The percentage of the number of passed students (31 is the pass marks)
= $\frac{120}{135} \times 100$
= $\frac{800}{9}$%
= $88\frac{8}{9}$%
Hence, the correct answer is $ 88\frac{8}{9}$%.
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