In a debate competition, the judges decide that 20 percent of the total marks would be given for accent and presentation. 60 percent 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.
Solution:
Given, the judges decide that 20 percent of the total marks would be given for accent and presentation in a debate competition.
60 percent of the rest are reserved for the subject matter and the rest are for rebuttal.
We have to find the total marks if 8 marks are for rebuttal.
Let the total marks be x
Marks for accent and presentation = 20% of x
= (20/100) × x
= x/5
Remaining marks = x - x/5 = 4x/5
Marks for subject matter = 60% of 4x/5
= 60/100 × 4x/5
= 12x/25
Remaining marks = 4x/5 - 12x/25
= (20x - 12x)/25
= 8x/25
Marks for rebuttal = 8
According to the question,
8x/25 = 8
x = 25
Therefore, the total mark is 25.
✦ Try This: In a meseum, the entrance ticket costs Rs. 250. In Vacation, the cost of the ticket is reduced, there by increasing the sale by 50 %, but it was found that the collection is decreased by 17.5 %. What is the deduction in the ticket price?
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 8
NCERT Exemplar Class 7 Maths Chapter 7 Problem 130
In a debate competition, the judges decide that 20 percent of the total marks would be given for accent and presentation. 60 percent 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.
Summary:
In a debate competition, the judges decide that 20 percent of the total marks would be given for accent and presentation. 60 percent of the rest are reserved for the subject matter and the rest are for rebuttal. If this means 8 marks for rebuttal, then the total marks is 25.
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