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…

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