A pump draws a solution of specific gravity $1\mathrm{.}5$ from a storage tank through $70$

mm pipe. Velocity in the suction line is $1$ m$/$s$.$ The pump discharges through a

$50$ mm pipe to an overhead tank. The efficiency of the pump is $60\%.$ The end

of the discharge pipe is $15$ m above the level of solution in the feed tank.

Friction losses in the entire piping system is $28$ J$/$kg$.$ What pressure must the

pump develop?