$11\mathrm{.}6$ In a process for concentrating $1000kg$ freshly extracted orange juice containing $15\%$ solids, the juice is strained, yielding $750kg$ of strained juice and $250kg$ of pulpy juice The strained juice is concentrated in a vacuum evaporator to give an evaporated juice of $60\%$ solids. The $250kg$ of pulpy juice is bypassed around the evaporator and mixed with the evaporated juice in a mixer to improve the flavour. The final concentrated juice, contnins $40\%$ selids. Calculate

$($a$)$ The mass of finat concentrated juiee $($kg$)$ Ans: $375$kg

$($b$)$ The concentration of solids in the strained juice Ans:$10\%.$

$($c$)$ The concentration of solids in the pulpy juice. Ans:$75\%$