A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtained 60% of the total marks then, the number of papers in which he got more than 50% marks is
A. 1
B. 3
C. 4
D. 5
E. None of these
Answer: Option C
Solution(By Examveda Team)
Let the marks obtained in five subjects be 6x, 7x, 8x, 9x and 10x. Total marks obtained = 40x Max. Marks of the five subjects = $$\frac{{40{\text{x}}}}{{0.6}}$$ [40x is 60% of total marks] Max. Marks in each subject = $$\frac{{40{\text{x}}}}{{0.6 \times 5}}$$ = 13.33x Hence, % of each subject = $$\frac{{6{\text{x}} \times 100}}{{13.33}}$$ = 45.01% Or, $$\frac{{7{\text{x}} \times 100}}{{13.33}}$$ = 52.51 In same way other percentage are 60.01%, 67.52%, 75.01%. Hence, number of subjects in which he gets more than 50% marks = 4Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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