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A school in Kolkata offers three different language (English, Bengali and Hindi) choices to write the class 10th final examination. In the year 2019, passing percentage of the final examination from English, Hindi and Bengali was 85, 88 and 91% respectively. If the school has a total of 1500 students in the ratio of 2 : 5 : 8 for English, Hindi and Bengali versions, what is the overall passing percentage of the students in the school in 2019?

A school in Kolkata offers three different language (English, Bengali and Hindi) choices to write the class 10th final examination. In the year 2019, passing percentage of the final examination from English, Hindi and Bengali was 85, 88 and 91% respectively. If the school has a total of 1500 students in the ratio of 2 : 5 : 8 for English, Hindi and Bengali versions, what is the overall passing percentage of the students in the school in 2019? Correct Answer 89.2%

Given:

Passing % for English version students = 85%

Passing % for Hindi version students = 88%

Passing % for Bengali version students = 91%

Total students = 1500

Ratio of English, Hindi and Bengali version students = 2 : 5 : 8

Concept:

This is a problem revolving around percentage calculation.

Calculation:

Number of English version students = 200

Number of Hindi version students = 500

Number of Bengali version students = 800

Number of students who passed from English version = 200 × (85 / 100) = 170

Number of students who passed from Hindi version = 500 × (88 / 100) = 440

Number of student who passed from Bengali version = 800 × (91 / 100) = 728

Total number of passing students = (170 + 440 + 728) = 1338

%pass = (1338 / 1500) × 100 = 89.2%

× 100 = 89.2%

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