# 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 = 4

Related Questions on Percentage

A. $$\frac{1}{4}$$

B. $$\frac{1}{3}$$

C. $$\frac{1}{2}$$

D. $$\frac{2}{3}$$

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