JIPMAT 2021 (QA) - A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than those required to pass. The pass percentage is | PYQs + Solutions | AfterBoards
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JIPMAT 2021

Arithmetic
>
Percentages

Conceptual

A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than those required to pass. The pass percentage is

Correct Option: 4
Let the total marks be xx \newline Let pass percentage be p%p\%
Given: \newline 1) 25%25\% of x=px−30x = px - 30 \newline 2) 50%50\% of x=px+20x = px + 20
Converting to equations: \newline 0.25x=px−300.25x = px - 30 \newline 0.50x=px+200.50x = px + 20
Subtracting equations: \newline 0.25x=500.25x = 50 \newline x=200x = 200
Substituting in first equation: \newline 50=200p−3050 = 200p - 30 \newline 80=200p80 = 200p \newline p=0.4p = 0.4 or 40%40\%
Therefore, the pass percentage is 40%40\%.

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