Question

A solid body is found floating in water with a/b of its volume submerged. The same solid is found floating in a liquid with a/b of its volume above the liquid surface. The specific gravity of the liquid is

Answer 1

P be density

Pw be density of water
Pl be density of liquid

Pw * Vw = Pl * Vl

Vw = volume of water displaced ( volume of solid body displaced) = a/b
Vl = 1-a/b
SG = Pl/Pw

SG = Vw/Vl = (a/b) / (1-a/b) = a/(b-a)