King Heiro ordered for a 3 kilo crown with 2 kilos of gold and 1 kilo silver. On its delivery, the crown weighed 3 kilos (as ordered), but the king was suspicious about its quality. He asked his friend and philosopher Archimedes to determine whether any cheating took place. Archimedes knows that different elements lose weight in water, in different proportions. Suppose gold loses 1/20th of its weight and silver 1/10th, and the new crown weighed 2.75 kilos in water, determine how much gold was siphoned off.