A certain number of badges were distributed among a class of students The student who got 1 6th of t...........

Quant (SSC) Ratio, Proportion

A certain number of badges were distributed among a class of students. The student who got 1/6th of the total number of badges actually got 5 times the average number of badges the others got! How many students were there in the class?

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Explanation:

Let the total students be (n + 1)
Let total badges be x
Let the average of ‘n’ students be y
The student who got 1/6th of x = 5y
Or y = x/30
Therefore ‘n’ students got 1/30th of total share each
Or n * x/30 + 1 * x/6 = x
nx + 5x = 30x
n + 5 = 30
Or n = 25
Total = n + 1 = 26