Ratio/ Proportion Question Answers Get Shortcut Formulae Ratio, Proportion Questions Check Tricks to Solve Ratio & Proportion Problems

Ratio/ Proportion Problems Shortcut Tricks: Get Fast Solutions for Ratio, Proportion Methods as this portal is dedicated to give Ratio and proportions questions are asked in many exams including competitive exams like IBPS, SSC etc. and also other qualifying exams. These ratio and proportion problems takes a little more time to solve if the candidate does not know the shortcut trick to solve these problems. It is very important for any applicant to learn the shortcut tricks to solve ratio and problems problems if they are preparing for competitive exams to score more marks. More information of

Just go through the same carefully........................

The ratio
and proportions problems can be solved easily with the applications of the
shortcut formulas provided below. Please remember them if you want to solve
ratio and proportion questions faster and want to save time in your exams so
that you can do more questions and ultimately attempt most questions in your
exams,

then you need to learn Shortcut Tricks to solve questions quickly.

Ratio/ Proportion Problems Shortcut Tricks: Get Fast Solutions for Ratio, Proportion Methods as this portal is dedicated to give Ratio and proportions questions are asked in many exams including competitive exams like IBPS, SSC etc. and also other qualifying exams. These ratio and proportion problems takes a little more time to solve if the candidate does not know the shortcut trick to solve these problems. It is very important for any applicant to learn the shortcut tricks to solve ratio and problems problems if they are preparing for competitive exams to score more marks. More information of

*regarding shortcut, solutions and how to solve etc is given here......*__Ratio & Proportion Problem__**Details of Ratio, Proportion Problems:**Just go through the same carefully........................

**<<<<<<<<START>>>>>>>>>>**Basis for Comparison | Ratio | Proportion |
---|---|---|

Meaning | Ratio refers to the comparison of two values of the same unit. | When two ratios are set equal to each other, it is called as proportion. |

What is it? | Expression | Equation |

Denoted by | Colon (:) sign | Double Colon (::) or Equal to (=) sign |

Represents | Quantitative relationship between two categories. | Quantitative relationship of a category and the total |

Keyword | 'To every' | 'Out of' |

then you need to learn Shortcut Tricks to solve questions quickly.

Here are some very important ratio and proportion problems
shortcuts

If a number x is divided in the ratio a:b ,then

1

^{st}part will be=ax/(a+b)
2

^{nd}part will be= bx/(a+b)
Or if the number x is divided in three ratios as a:b:c ,
then

1

^{st}part will be=ax/(a+b+c)
2

^{nd}part will be=bx/(a+b+c)
3

^{rd}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

If a number x is added to a ratio a:b so that the ratio
becomes c:d ,

Then x=
(ad-bc)/(c-d)

If there are two numbers whose sum and difference is a and b
respectively,

then the ratio of
those numbers will be = (a+b)/(a-b)

if two quantities A and B are in the ratio a:b ,

then

(A+B):(A-B)::(a+b):(a-b)

If two numbers are given in the ratio a:b and P in both
numbers, the ratio becomes c:d ,

Then

1

^{st}number = aP(c-d)/(ad-bc)
2

^{nd}number = bP(c-d)/(ad-bc)
Sum of numbers = [P(a+b)(c-d)]/(ad-bc)

Difference of numbers = [P(a-b)(c-d)]/(ad-bc)

If the ratio of incomes of two persons is a:b , and also
ratio of their expenses is c:d , and each person saves a sum of x rupees,

Then

Income of 1

^{st}person = ax(d-c)/(ad-bc)
Income of 2

^{nd}person = bx(d-c)/(ad-bc)
Example:

In a mixture of milk and water, ratio of milk to water is
5:1 . if 5 liters of water is added to the mixture, the ratio becomes 5:2. Determine
the quantity of milk in mixture initially?

Solution:

So in the given question, A=5, B=1, C=2, P=5

Now putting the formula as given above

Quantity of milk = AP/(C-B) = (5*5)/(2-1) = 25 liters

So the answer is

25 liters of milk is there in the initial mixture of milk
and water.

**<<<<<<<<<<<END>>>>>>>>>>**
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