  Let $f$ be a Maass cusp form for $\rm SL_2(\mathbb{Z})$ with Laplace
eigenvalue $1/4+\mu_f^2$, $\mu_f>0$. Let $g$ be an arbitrary but fixed
holomorphic or Maass cusp form for $\rm SL_2(\mathbb{Z})$. In this paper, we
establish the following uniform subconvexity bound for the Rankin-Selberg
$L$-function $L(s,f\otimes g)$ $$ L\left(1/2+it,f\otimes g\right)\ll
(\mu_f+|t|)^{9/10+\varepsilon}, $$ where the implied constant depends only on
$\varepsilon$ and $g$.
