Question

Question 130

In a debate competition, the judges decide that 20% of the total marks would be given for accent and presentation. 60% of the rest are reserved for the subject matter and the rest are for rebuttal, If this means 8 marks for rebuttal, then find the total marks.

Answer 1

Let x be the Iota! marks.
Marks given for accent and presentation = 20% of x =
$\frac{20}{100}\times x=\frac{x}{5}$
Remaining marks $=x-\frac{x}{5}=\frac{4x}{5}$
Marks reserved for subject matter = 60% of rest marks $=\frac{60}{100}\times \frac{4x}{5}=\frac{12x}{25}$
Now, remaining marks $=\frac{4x}{5}-\frac{12x}{25}=\frac{20x-12x}{25}=\frac{8x}{25}$
According to the question
$\frac{8x}{25}=8\Rightarrow x=\frac{8\times 25}{8}=25$
Hence, total marks are 25.