A merchant claims to sell pure gold coins of relative density 19.3. He sells gold coins of weight 26.075 gf to a customer. In order to check the purity of gold coins, the customer weighs the coins when immersed in pure water and funds that they weigh 24.225 gf in, water. Was the merchant lying?

A merchant claims to sell pure gold coins of relative density 19.3. He

1.	A merchant claims to sell pure gold coins of relative density 19.3. He sells gold coins of weight 26.075 gf to a customer. In order to check the purity of gold coins, the customer weighs the coins when immersed in pure water and funds that they weigh 24.225 gf in, water. Was the merchant lying?
Answer» Solution :Weight of GOLD coins in AIR =26.075 gf Weight of gold coins in water =24.25gf LOSS of weight of coins in water =26.075-24.225 =1.85gf Relative DENSITY of the coins `=("weight of coins in air")/("loss of weight in water")=(26.075)/(1.85)` =14.095 Since the relatively density of the gold coins is much less than the CLAIMED by merchant (which is 19.3), so the merchant is lying.