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It is assumed that number of students in ach batch is to be calculated.

Ratio of students in batch A , B , C and D is

A : B: C : D = 2 : 1 : 2 : 3

Let number of students in batch A = 2x ;

Let number of students in batch B = x ;

Let number of students in batch C = 2x ;

Let number of students in batch D = 2x

In Batch A, percentage of failed is 24 % , hence number of students passed in batch-A = ( 2-0.48) x = 1.52 x ;

In Batch B, percentage of failed is 20 % , hence number of students passed in batch-B = ( 1-0.2) x = 0.80 x ;

In Batch C, percentage of failed is 16 % , hence number of students passed in batch-C = ( 2-0.32) x = 1.68 x ;

In Batch D, percentage of failed is 20%, hence number of students passed in batch-D = ( 3-0.60) x = 2.40 x ;

Hence total number of students passed = ( 1.52 +0.80 +1.68+2.40) x = 6.40 x = 480

Hence from above expression, we get x = 75

Number of students in batch A = 2x  = 150 ;

Number of students in batch B = x  = 75 ;

Number of students in batch C = 2x  = 150 ;

Number of students in batch D = 3x  = 225 ;

Answered by Thiyagarajan K | 06 Feb, 2024, 04:53: PM

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