A company has two plants \(A\) and \(B\) to manufacture motorcycles. \(60\)% motorcycles are manufactured at plant \(A\)…

A company has two plants \(A\) and \(B\) to manufacture motorcycles. \(60\)% motorcycles are manufactured at plant \(A\) and the remaining are manufactured at plant \(B\) .\(80\)% of the motorcycles manufactured at plant \(A\) are rated of the standard quality, while \(90\)% of the motorcycles manufactured at plant \(B\) are rated of the standard quality. A motorcycle picked up randomly from the total production is found to be of the standard quality. If \(p\) is the probability that it was manufactured at plant \(B\) , then \(126 p\) is

[JEE Main 2024, 06 Apr (Shift 1)]