Here are some very important ratio and proportion problems
shortcuts
If a number x is divided in the ratio a:b ,then
1st part will be=ax/(a+b)
2nd part will be= bx/(a+b)
Or if the number x is divided in three ratios as a:b:c ,
then
1st part will be=ax/(a+b+c)
2nd part will be=bx/(a+b+c)
3rd part will be= cx/(a+b+c)
The ratio of milk to water in a mixture is A:B . if P liters
of water is added to the mixture, then milk to water mixture ratio becomes A:C
,
then the quantity of milk in the mixture is
=AP/(C-B) liters
And the quantity of water in the mixture is
= BP/(C-B) liters