Question
Download Solution PDFSonu scores 25% marks and failed by 15 marks, while another student who scores 45% marks gets 5 marks more than minimum pass marks. The minimum pass marks is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
Let total marks = x
Pass marks = Sonu's marks + 15
Pass marks = Another student's marks - 5
Calculation:
Sonu's marks = 25% of x = (25 ÷ 100) × x = x ÷ 4
Another student's marks = 45% of x = (45 ÷ 100) × x = (9x ÷ 20)
According to the question:
x ÷ 4 + 15 = (9x ÷ 20) - 5
⇒ 5x ÷ 20 + 15 = 9x ÷ 20 - 5
⇒ 15 + 5 = 9x ÷ 20 - 5x ÷ 20
⇒ 20 = 4x ÷ 20
⇒ 20 × 20 = 4x
⇒ 400 = 4x
⇒ x = 100
Minimum pass marks = x ÷ 4 + 15
⇒ 100 ÷ 4 + 15
⇒ 25 + 15
⇒ 40
∴ The minimum pass marks is 40.
Last updated on Mar 4, 2025
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