Ratios & Proportion
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Q.

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. 

 A.

150

 B.

200

 C.

400

 D.

None

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Solution:
Option(B) is correct

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 \(\dfrac{137.5}{68.75}\times 100=200\)


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