TRICKS TIPS AND SHORTCUTS TO SOLVE PROBLEMS ON PROPORTIONS

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Aspirants,As the Quotes implies there is Proportionality everywhere we go,So today we are going to discuss on Proportions.Before knowing about Proportions have a look on Ratio’s for better understanding.

LOOK AGAIN FOR RATIO’S

PROPORTIONS:

The equality of two ratios is called proportions.

Proportion has basically 5 types,Questions asked in IBPS Exams are nowadays with high difficulty,So, to solve all the difficult problem we should know how to solve the basic problems.Here we have covered all the basic Problem and its types and Shortcut method for solving all the basic Problems

That is:

Rule:

If  X=KY, K=constant then X is directly proportional toY

XY=K, then X is inversely proportional to Y.

#.1.TYPE 1:

FINDING NUMBER OF PERSON:

These type of question in Proportionality are the basic type and we can solve these type of  problems by two methods

1.Method 1:Solving by equations

2.Method 2:Shortcut Method

1.A sum of Rs.312 is to be distributed among 100 boys and girls such that if each boy gets Rs.3.60 and each girl gets Rs.2.40 then find how many number of boys in the class?

#.2  TYPE 2:

BASED  ON ADDITION/SUBTRACTION OF QUANTITY:

1In a 80 litre of solution containing milk and water in the ratio 2:3.How much milk should be added to the solution so that the new ratio becomes 4:1?

2.In a 60 litres mixture of milk and water the ratio of milk and water is 7:5.How much water should be added in the mixture so that the ratio of milk to water becomes 5:7?

#.3 TYPE 3:

BASED ON EQUALITY:

If the original ratio a:b

Duplicate Ratio:a²:b²

Sub Duplicate Ratio:  √a:√b

Triplicate Ratio:  a³:b³

Sub Triplicate Ratio:a^(1/3):b^(1/3)

1.If twice a is equal to 3b and that is equal to 5 times of c.Then find a:b:c?

2.If the sub duplicate ratio of a:b=2:3.Then find the Triplicate Ratio of a:b?

3.A hound pursues a hare and takes 6 leaps foe every 9 leaps of the hare,but 3 leaps of the hound are equal to 5leaps of the hare.Compare the rates of the hound and the hare?

LEARN EACH AND EVERY TOPIC WITH ITS SHORTCUT METHODS

# 4. TYPE 4:

BASED  ON PROPORTION:

1.If the height of the person is directly proportional to the square root of the age,if the height of the person is 5ft and his age be 36,then find what is the height of the person  whose age is 64?

#.5  TYPE 5:

BASED ON TWO RATIO’S:

1.If a mixture containing milk and water in the ratio 9:5 and another mixture containing milk  and water in the ratio 4:3 the mixture in the 2 container are equal and the third quantity a new mixture is formed.Find the ratio of milk and water in the new mixture?

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