Question

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?
A) 153145 kgs
B) 147890 kgs
C) 152400 kgs
D) 149600 kgs

Answer 1

Q:

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?

A) 153145 kgs
B) 147890 kgs
C) 152400 kgs
D) 149600 kgs

Answer:   D) 149600 kgs 

Explanation:

Let the total quantity of gold be p kgs.

According to 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.

Answer 2

hey mate !

questions !!

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?

$\huge{Answer:}$

= 149600Kgs
_________________


Let the total quantity of gold be 'x' kgs.

Now,

According to the question,

$50\% \: of \: x \: + 25\% \: of \: x + 12.5\% \: of \: x \: = 130900$

$87.5\% \: of \: x \: = 130900$

$x = \frac{130900}{\frac{100}{87.5} }$

$= 149600\:kgs$

Therefore,

The initial gold quantity that king has $149600\:kgs.$

So,

Correct option D) $149600\:kgs$

$\huge{Be \:Brainly}$