Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially?
Correct Answer: 149600 kgs
Explanation:
Let the total quantity of gold be p kgs.
Accordingto the question,
50% of p + 25% of p + 12.5% of p = 130900
87.5% of p = 130900
p = 130900 x 100/87.5 = 149600 kgs.
Therefore, the initial gold quantity that king has = p = 149600 kgs.