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Question
An industry has a sewage treatment plant which produces sludge with a moisture content of 98%. With the solid content remaining the same, the sludge is thickened so that the moisture content now is 96%. If the original quantity of sludge is P, what is the quantity of the thickened sludge?
A.
0.98 P
B.
3P/4
C.
2P/3
D.
P/2
Answer ( Option D)

P/2

Solution

If the sludge with volume V1 and moisture content w1, reduce to volume V and moisture content w, then by assuming density of sludge remaining constant,

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