In most of the solutions they are doing like this

"They are adding the ratio terms 4 and 2 getting 6 by which 12 will be divided

Rs12/6parts=2Rs/ part .

Now they say we need to take 4 of rs2 and 2 of rs2

So the shares are rs 8 and rs 4 "

Now after seeing the soln what I feel is that I have

4 parts consists of rs 8 and 2 parts consists of rs 4 = 6 parts of Rs12

*or*

4 groups of rs 2 and 2 groups of rs 2 = 6 groups of Rs 2

{Parts mean Division , don't think because I wrote parts of 12 that means 'of' means multiplication so I multiply 6*12 ;

**!**no that is wrong ..

I can write 1/6 of 12 or 6 parts of 12

Groups & parts are different}

That means the given ratio 4:2 in the question was a simpler form of x:y where X represents the share(the money out of 12) of first person and y (the remaining money out of 12) of the second person.

Q1

**: Why did they add 4 +2?**THE RATIO TERMS . Thats coz we want to find the size of each 1 part?

Q2: What does 4 : 2 actually represent? Is it just like i said above [ given ratio 4:2 in the question was a simpler form of x:y where X represents the share(the money out of 12) of first person and y (the remaining money out of 12) of the second person.]

OR

Represents the ratio between " How many GROUPS of each part value taken by the first person

**:**second "

Q3:

**WHY DO WE DIVIDE 12 by 6?**

CONFUSION: if the question was given like this "Find the share of each person if 12 is divided among 6 persons" then i can or should then , divide 12 into 6 parts or persons

But there are two terms in a ratio that means there are two persons not 6! -Thats the trick or where my confusion arises

Now if i know there are two persons also

I cannot do rs12/2persons as that will mean I am dividing rs 12 in 1:1 or 2:2 or 3:3

But they have given 4:2 clearly (

__unequal share__)

--------------------------------------------------------------------END OF FIRST PART -----------------------------------------------------------------

Now acc to solution I am dividing rs 12/6

Then getting the answer rs 4 and rs 8

Now going backwards from answer

I can make one expression by asking Rs'12' has been divided into how many parts so that one of the part is rs '8'

12/X=8

X=3/2

So 12 has been divided into 1.5 parts (unequally) where 1 part has rs'8' and the other 0.5 part has rs'4'

1.5 parts of Rs12 =1 part consists of rs 8 and 0.5 part consists of rs 4

One thing i have noticed that "Ratio between the parts is proportional to ratio between the sizes"

(1 part / 0.5 part ) = (Rs 8 /Rs 4)

I can say : Rs 12 is divided into rs 4 and rs 8 OR Rs 12 is divided into 1.5 parts

SO if 12 is divided into 1.5 parts then also ; the person A is getting Rs '8' and the person b is getting Rs '4' (the amount receiving is same) . But the ratio then would become 1 : 0.5 . which is VIOLATING the original given ratio 4:2

So 12 has been divided into

**how many parts**originally then 6 or 1.5 ? I am getting confused .