# CLASS-7RATIO DIVIDING INTO THREE PARTS

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

6

=  50,000 X ---------

25

=  2000 X 6 =  \$ 12,000

5

So, daughter will get the money =  50,000 X -------------

6 + 5 + 14

5

=  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.)