A candidate who gets 30% of the marks fails by 50 marks. But another candidate…
2024
A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing ?
- A.
300
- B.
400
- C.
200
- D.
500
Attempted by 64 students.
Show answer & explanation
Correct answer: C
Let the total marks be x.
If a candidate gets 30% and fails by 50 marks, then the passing marks = 0.3x + 50.
If another candidate gets 45% and has 25 marks more than passing, then the passing marks = 0.45x - 25.
Equate the two expressions and solve:
0.3x + 50 = 0.45x - 25
0.15x = 75 => x = 500
Passing marks: 0.3 × 500 + 50 = 150 + 50 = 200
Check: 30% of 500 = 150 (50 less than 200) and 45% of 500 = 225 (25 more than 200). The conditions are satisfied.