Department $x$ sells goods to Department $Y$ at a profit of $25\%$ on cost & to Department $Z$

at a profit of $10\%$ on cost$.$ Department $Y$ sells goods to $x$&$Z$ at a profit of $15\%$&$20\%$ on

sales, respectively. Department $Z$ charges $20\%$&$25\%$ profit on cost to Department $x$&$Y,$

respectively.

Department Managers are entitled to $10\%$ Commission on Net Profit subject to unrealized

profits on Departmental sales being eliminated.

Departmental profits after charging manager's commission, but before adjustment

of unrealized profits are $x=Rs\mathrm{.}36,000$;$Y=Rs\mathrm{.}27,000$;$Z=Rs\mathrm{.}18,000$

Stocks lying at different departments at the year$-$end are as under:

Find out the correct Departmental Profits after charging Managers' Commission.

marks$)$