Rohit Sharma played well this season, his current batting average is 38. If he…
2023
Rohit Sharma played well this season, his current batting average is 38. If he scores 78 runs in today's match his batting average will become 42, how many matches has he played in this season?
- A.
8
- B.
9
- C.
10
- D.
6
Attempted by 46 students.
Show answer & explanation
Correct answer: B
Let x be the number of matches played before today's match.
Total runs before today = 38 × x.
After scoring 78, total runs = 38x + 78 and total matches = x + 1.
New average = (38x + 78) ÷ (x + 1) = 42.
Solve: 38x + 78 = 42(x + 1) → 38x + 78 = 42x + 42 → 36 = 4x → x = 9.
Answer: He has played 9 matches this season (before today's match).