Question

a student got marks in the ratio 6:7:8:9:10 in five subjects having equal maximum marks. in all he scored 60% marks. in how many subjects he got more than 50% ?

Answer 1

The mark ratio of a student is given as 6:7:8:9:10.

It is ration of all five subjects. It is equal to the maximum marks.  

He scored 60% marks in every subject.  

We can consider the ratio as 6x,7x,8x,9x and 10x marks out of y. The average of 40/5x = 8x.

8x is 60%

8/6x is 10%

40/6x is 50%

6.67x is 50%

Hence, he got over 50 percentages in four subjects.

Answer 2

Given: The  Ratio of five marks is 6:7:8:9:10.

Let marks in five subjects are $6x, 7x, 8x, 9x, 10x$.

Average

$\frac{6x+7x+8x+9x+10x}{5}=\frac{40x}{5}$

$\frac{6x+7x+8x+9x+10x}{5}=8x$

scored 60% = 8x

scored 50% = $8x\times \frac{50\%}{60\%}$

$=6.67\%$

Hence he scored 50% in 4 subjects.

#SPJ2