$A$ body is performing $SHO$ with a total energy of $100\,J$. In the table below, column-$I$ shows the kinetic energy $(K)$ at a specific time, and column-$II$ shows the potential energy $(U)$ at that same time. Match them appropriately.

Column-$I$	Column-$II$
$(a)$ $K = 10\,J$	$(i)$ $U = 40\,J$
$(b)$ $K = 60\,J$	$(ii)$ $U = 90\,J$
	$(iii)$ $U = 50\,J$

$(A)$ For a body performing $SHO$, the total energy $(E)$ is the sum of kinetic energy $(K)$ and potential energy $(U)$:
$E = K + U$
Given $E = 100\,J$.
For $(a)$, $K = 10\,J$:
$U = E - K = 100\,J - 10\,J = 90\,J$.
This matches $(ii)$.
For $(b)$, $K = 60\,J$:
$U = E - K = 100\,J - 60\,J = 40\,J$.
This matches $(i)$.
Therefore, the correct matching is $(a-ii, b-i)$.