DIVIDING INTO THREE PARTS
If a number n is divided into three parts in the ratio x : y : z, then
x
First part = -------------- X n
x + y + z
y
Second Part = --------------- X n
x + y + z
z
Third Part = --------------- X n
x + y + z
Example.1)
Suppose, Mr. Richard has distributed his whole life savings worth $ 50000 to his son, daughter, & wife in the ratio of 6 : 5 : 14. so, find out distributed money ?
Ans.) As per the given condition, Mr. Richard has distributed his money worth $ 50,000 in the ratio of 6 : 5 : 14 to his son, daughter, & wife respectively.
6
So, son will get the money = 50,000 X -------------
6 + 5 + 14
= 50,000 X ---------
25
= 2000 X 6 = $ 12,000
5
So, daughter will get the money = 50,000 X -------------
6 + 5 + 14
= 50,000 X ---------
25
= 2000 X 5 = $ 10,000
14
So, wife will get the money = 50,000 X -------------
6 + 5 + 14
14
= 50,000 X ----------
25
= 2000 X 14 = $ 28,000 (Ans.)
Example.2)
Suppose, Mr. Devid has distributed his whole property worth $ 2,50,000 to his son, daughter, wife, & himself in the ratio of 3 : 4 : 6 : 12. so, find out distributed property value ?
Ans.) As per the given condition, Mr. Devid has distributed his money worth $ 2,50,000 in the ratio of 3 : 4 : 6 : 12 to his son, daughter, & wife respectively.
3
So, son will get the money = 2,50,000 X ----------------
3 + 4 + 6 + 12
3
= 2,50,000 X ---------
25
= 10,000 X 3 = $ 30,000
4
So, daughter will get the money = 2,50,000 X ---------------
3 + 4 + 6 + 12
4
= 2,50,000 X ---------
25
= 10,000 X 4 = $ 40,000
6
So, wife will get the money = 2,50,000 X ---------------
3 + 4 + 6 + 12
6
= 2,50,000 X ----------
25
= 10,000 X 6 = $ 60,000
12
So, he will get the money = 2,50,000 X ---------------
3 + 4 + 6 + 12
12
= 2,50,000 X ----------
25
= 10,000 X 12 = $ 1,20,000 (Ans.)