Correct Answer - Option 1 : 4
Given:
A student took 5 papers in an examination where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together the candidate obtained 60% of total marks.
Concept used:
Percentage
Calculation:
Let us assume full marks of each paper be 100
Total marks = 5 × 100 = 500
As per the question,
⇒ (60/100) × 500 = 300 (obtained marks)
Marks in these papers were in the proportion
⇒ 6x + 7x + 8x + 9x + 10x = 300
⇒ 40x = 300
⇒ x = 7.5
Papers in which he gets more than 50 marks
⇒ 6x = 6 × 7.5 = 45
⇒ 7x = 7 × 7.5 = 52.5
⇒ 8x = 8 × 7.5 = 60
⇒ 9x = 9 × 7.5 = 67.5
→ 10x = 10 × 7.5 = 75
We can see that in 4 papers he scored more than 50 marks.
