Probability

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