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Let the max marks be X.
Candidate gets 20% of X, but still fails by 10 marks.
0.2X + 10 = passing marks
Another candidate, 0.42X-0.12X = passing marks
0.3X = 0.2X +10
0.1X = 10
X = 100

B is the answer.
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20% of max marks + 10 = passing marks
and 42% of max marks - 12% of max marks = passing marks.

Subtracting equation 1 from equation 1,

10% of max marks = 10

max marks = 100 (Option B)
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Bunuel
A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.

A. 50
B. 100
C. 150
D. 200
E. 250

given: 0.2t=p-10 and 0.42t=p+0.12t
equate: 0.2t+10=0.30t,… t=100

Answer (B).
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Let the maximum marks being 100.

20% marks fail by 10 marks: that means 20 marks out of 100 and failed by 10 marks. Hence, passing marks 30.

=> 42% marks: 42 out of 100.

Now, \(\frac{(42 - 30) }{ 30}\) * 100 = 12% increase and hence 42 marks is 12% more than passing marks [30].

Hence, the maximum marks are 100.

Answer B
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