Archimedes established the principle while investigating a suspected fraud in the construction of a crown. The crown was made of an alloy of gold and silver instead of from pure gold. Assume that the volume of the alloy was the combined volumes of the components. The density of gold is 19.3 gm'cm3, and the density of silver is 10.5 gmslcm3. If the crown weighed lt} gms in air and 940 ans in pure water, determine the percentage of gold in the crown by weight