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July 21 2017
Question The ratio of marks obtained by Ajay and Vijay is 6:5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted?
Answer

Let Ajay's marks be 6x and Vijay's marks is 5x. Therefore, the sum of the marks  = 6x + 5x = 11x.

But the sum of the marks is given as 275 = 11x. we get x = 25

Therefore Ajay marks is 6x = 150

and Vijay marks = 5x = 125.

Therefore, the combined average of their marks  = (150 + 125)/2 = 137.5

If the total marks of the exam is 100 then their combined average of percentage is 68.75.

Therefore, if their combined average of their percentage is 137.5 then the total marks would be

(137.5/68.75)*100 = 200

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