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Ratio and Proportion - Quant/Math - CAT 2013

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Question 4 the day: May 26, 2003

The question for the day is from the topic of Ratio and Proportion.
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.

(1) 150 (2) 200
(3) 400 (4) None of these.
Correct Answer - (2)
Solution:


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 marks is 6x = 150 and Basu marks = 5x = 125.

Therefore, the combined average of their marks = (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 (137.5 / 68.75)*100 = 200.




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