Q. A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?

Explanation : 

A student appeared in 6 papers

– Total marks per subject = 100
– Total subjects = 6
– Total possible marks = 600
– Overall score = 60% = 360 marks
– Marks distribution pattern: 5x, 6x, 7x, 8x, 9x, 10x

Step 1: Form equation
5x + 6x + 7x + 8x + 9x + 10x = 360
45x = 360

Step 2: Solve for x
x = 360/45 = 8

Step 3: Calculate marks in each subject
Subject 1: 5x = 5 × 8 = 40 marks
Subject 2: 6x = 6 × 8 = 48 marks
Subject 3: 7x = 7 × 8 = 56 marks
Subject 4: 8x = 8 × 8 = 64 marks
Subject 5: 9x = 9 × 8 = 72 marks
Subject 6: 10x = 10 × 8 = 80 marks

Step 4: Count subjects below 60%
60% of 100 = 60 marks
Subjects below 60 marks:
1. 40 marks
2. 48 marks
3. 56 marks

Therefore: Student scored less than 60% in 3 subjects.