In an examination, Vinod scored 25% of marks and failed by 10 marks. Sachin scored 30% of marks, which were 20 marks more than the passing marks. Find the total marks of the examination.
1. 500
2. 600
3. 750
4. 800
1. 500
2. 600
3. 750
4. 800
Correct Answer – Option 2 : 600
Given:
Percentage of marks scored by Vinod = 25%
marks by which Vinod failed = 10
Percentage of marks scored by Sachin = 30%
marks obtained by Sachin above pas mark = 20
Calculation:
Let total marks in the exam be x.
Pass marks = Marks obtained by Vinod + 10 = 25% × x + 10
Pass marks = marks obtained by Sachin – 20 = 30% × x – 20
Equating the pass marks in both cases,
25% × x + 10 = 30% × x – 20
30 = 5% × x
Or, x = 600
∴ The total marks of the exam is 600.