. In a debate competition, the judges decided that 20 per cent of the total marks would be given for accent and presentation. 60 per cent reserved for the subject matter and the rest are for rebuttal. If this means 10 marks for rebuttal, then find the total marks.
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In a debate competition, the judges decided that
•20 % of the total marks would be given for accent and presentation
•60 % reserved for the subject matter
•And the rest (i.e. remaining 20%) are for rebuttal.
•If this means 10 marks are for rebuttal, then for the total marks, percentage formula should be applied.
•This Implies, (10*100)/20 gives the total marks.
•Therefore total marks are 50.
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Let x be the marks
Marks for accent and presentation=20% of x
= 20
×x=
5
x
Remaining marks =x−
5
x
=
5
4x
Reserved marks for subject matter
=60% of
5
4x
=
100
60
×
5
4x
=
15
12
x
Marks for rebuttal =
5
4x
−
25
12
x=
25
8
x
Now, marks for rebuttal =8
∴
25
8
x=8
⇒x=
8
25×8
⇒x=25
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