A candidate who gets 36% marks in the examination fails by 24 marks but
another candidate, who gets 43% marks, gets 18 more marks than the
minimum pass marks. Find the maximum marks and the percentage of pass
marks.
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Answer:
First candidate = 36% × x + 24
Second candidate = 43% × x - 18
First candidate = Second candidate
36/100 × x + 24 = 43/100 × x - 18
9x/25 + 24 = 43x/100 - 18
9x/25 - 43x/100 = -24 - 18
36x/100 - 43x/100 = -42
36x - 43x/100 = -42
-7x/100 = -42
x = -42 × -100/7
x = 600
Maximum marks = 600
36% × x + 24 = y
36/100 × 600 + 24 = y
216 + 24 = y
240 = y
Passing marks = 240
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