Two solids A and B float in water. It is observed that A floats with $\frac{1}{2}$ of its body immersed in water and B floats with $\frac{1}{4}$ of its volume above the water level. The ratio of the density of A to that of B is
(a) 4 : 3                                  (b) 2 : 3
(c) 3 : 4                                   (d) 1 : 2

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