650 kg of juice containing 15% sugar and 85% non-sugar liquid is produced when 1000 kg of a certain fruit is fed in a juice extractor. The residue contains 70% pulp and small amount of juice in it. Calculate the weight of the residue and the percentage of unextracted sugar in it
Ans :
The amount of sugar in juice = ( 650 x 15) / 100 = 97.5 kg
The weight of residue = weight of fruit - weight of juice
= 1000 kg - 650 kg
= 350 kg residue
This residue has 70% pulp , so the rest 30% is juice.
So the amount of juice in residue : ( 30 x 350) / 100 = 105 kg juice
Now the juice has 15 % sugar
So the amount of sugar here : ( 15 x 105) / 100 = 15.75 g of sugar
Total sugar = 97.5 kg + 15.75 kg = 113.25 kg
So percentage of unextracted sugar = ( 15.75 / 113.25) x 100
= 13.9 %
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