The ratio of marks obtained by Vinod and Basu 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.
150
200
400
None
Explanation:
Let Vinod marks be 6x and Basu s 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, Vinod’s marks is 6x=150 and Basu’s marks = 5x=125.
Therefore, the combined average of their marks % = $\dfrac{150+125}{2}$=137.5
If the total mark of the exam is 100 then their combined average of their percentage is 68.75
Therefore, if their combined average of their percentage is 137.5 then the total marks would be $\dfrac{137.5}{68.75}$×100=200
Let Vinod marks be 6x and Basu s 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, Vinod’s marks is 6x=150 and Basu’s marks = 5x=125.
Therefore, the combined average of their marks % = $\dfrac{150+125}{2}$=137.5
If the total mark of the exam is 100 then their combined average of their percentage is 68.75
Therefore, if their combined average of their percentage is 137.5 then the total marks would be $\dfrac{137.5}{68.75}$×100=200