A king ordered to make a crown from8 kg of gold andgoldsmith took away

1.	A king ordered to make a crown from8 kg of gold andgoldsmith took away some amount ofgold and replaced it by an equalamount of silver and the crown whenmade, weighed 10 kg. The king knowsthat under water gold loses th of20its weight, while silver loses th. When10the crown was weighed under water, itwas 9-25 kg. How much gold was stolenby the goldsmith?
Answer» Weight of gold = 8 kgWeight of silver = 2 kg Let gold Smith took x amount of gold and added equal amount of silver from crown Actual weight of gold used= 8-xActual weight of silver used= 2 + x As crown weigh 9.25 kg under water, so it losses .75 kg total weight in water Then, (8 - x) /20 + (2 + x)/10 = .75(8 - x + 4 + 2x) = .75 * 20x + 12 = 15x = 15 - 12 = 3kg Therefore gold stolen by goldsmith = 3 kg

A king ordered to make a crown from8 kg of gold andgoldsmith took away some amount ofgold and replaced it by an equalamount of silver and the crown whenmade, weighed 10 kg. The king knowsthat under water gold loses th of20its weight, while silver loses th. When10the crown was weighed under water, itwas 9-25 kg. How much gold was stolenby the goldsmith?

Answer»

Weight of gold = 8 kgWeight of silver = 2 kg

Let gold Smith took x amount of gold and added equal amount of silver from crown

Actual weight of gold used= 8-xActual weight of silver used= 2 + x

As crown weigh 9.25 kg under water, so it losses .75 kg total weight in water

Then, (8 - x) /20 + (2 + x)/10 = .75(8 - x + 4 + 2x) = .75 * 20x + 12 = 15x = 15 - 12 = 3kg

Therefore gold stolen by goldsmith = 3 kg