In an examination, a student who gets 20% of the maximum marks fails by 5 marks. Another student who scores 30% of the maximum marks gets 20 marks more than the pass marks. The necessary percentage required for passing is :
Options:
A . 22%
B . 23%
C . 20%
D . 32%
Answer: Option A Answer: (a) Let the maximum marks be x. According to question, 20% of x + 5 = 30% of x –20 (30 –20)% of x = 25 x = ${25 × 100}/10 = 250$ Passing marks = 20% of 250 + 5 = 55 % Passing marks = $55/250 × 100 = 22%$ Using Rule 22, Here, m = 30%, n = 20%, p = 5 and q = 20 Maximum marks = $100/\text"(n - m)" × (p + q)$ = $100/{(30 - 20)} × (5 + 20)$ = ${100 × 25}/10 = 250$ Passing marks = 20% of 250 + 5 = 55 % of passing marks = $55/250 × 100$ = 22%
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