अनुपात समानुपात शार्ट ट्रिक्स Crack Ratio and Proportion with Ease Expert Short Tricks Revealed
अनुपात समानुपात शार्ट ट्रिक्स Ratio and Proportion Short Tricks
In this article we are going to share some important and interesting short tricks of ratio and proportions questions in Hindi as well as English questions. With the help of this tricks students will learn how to solve ratio and proportions problems in very few minutes. It’s very important for those candidates who are appearing in various competitive examination.
Ratio:-
The division of two numbers is known as Ratio. It is denoted by (:).
Example: 5:7 or 5/7 , 2:3 or 2/3 etc.
Type and Ratio Short Trick 1: ratio and proportion formulas
If A : B = X : Y and B : C = P : Q ,then:-
- A : C = X x P : Y x Q
- A : B : C = (X : Y) x P :Y x Q = X x P : Y x P : Y x Q
or A : B : C
X : Y
\ | \
P : Q
___________________
X x P : Y x P : Y x Q
Example: If A : B = 4 : 5 and B : C = 6 : 7 then, find value of A : C ?
Type and Ratio Short Trick of 2: ratio and proportion formulas
If A : B = X : Y , B : C = P : Q and C : D = M : N then:-
- A : D = X x P x M : Y x Q x N
- A : B : C : D = (XP : YP : YQ) x M : Y x Q x N
- = XPM : YPM : YQM : YQN
Example: If A : B = 3 : 4 , B : C = 8 : 9 and C : D = 12 : 13 then, find value of A : D ?
Important question of ratio and proportion asked in previous exam
Q1 Divide Rs. 672 in the ratio 5: 3. ६७२ को ५:३ में विभाजित करो
ANS: Sum of ratio terms = (5 + 3) = 8.
First part = Rs. (672 x 5/8) = Rs. 420;
Second part = Rs. (672 x 3/8) =
Rs. 252.
Q2 Divide Rs. 1162 among A, B, C in the ratio 35: 28: 20. ११६२ को A, B, C में ३५: २८:२० में विभाजित करो.
ANS: Sum of ratio terms = (35 + 28 + 20) = 83.
A’s share = Rs. 1162 x35/83) = Rs. 490; B’s share = Rs. 1162×28/83) = Rs. 392
Q3 A bag contains 50 p, 25 p and 10 p coins in the ratio 5: 9: 4, amounting to rs 206. Find the number of coins of each type.
एक बैग में ५० पैसे , २५ पैसे एवं १० पैसे के सिक्के ५:९:४ में हे; जो २०६ रुपए हे. हर प्रकार के कितने सिक्के हे
ANS: Let the number of 50 p, 25 p and 10 p coins be 5x, 9x and 4x respectively.
5x 9x 4x Then
5x/2 + 9x/4 + 4x/10
=206 50x + 45x + 8x
= 4120 = 103x = 4120 x = 40.
Number of 50 p coins = (5 x 40) = 200;
Number of 25 p coins = (9 x 40) = 360;
Number of 10 p coins = (4 x 40) = 160
Q4 A mixture contains alcohol and water in the ratio 4: 3. 115 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the gives mixture.
एक देब्बे मे अलकोहल एवं पनि का 4:3 का मिश्रण हे। यदि उस मिश्रण मे 115 लिटर पनि और मिला दिया जाए तो उसका अनुपात 4:5 हो जाएगा। अल्कोहल्क की मात्रआ ज्ञात करो। Ratio Proportion Short Tricks
ANS: Let the quantity of alcohol and water be 4x liters and 3x liters respectively Then. 4x / (3x+5) = 4/5 = 20x = 4 (3x + 5) 8x = 20 x = 2.5. =3x+5 5 Quantity of alcohol = (4 x 2.5) liters = 10 liters
Type and Ratio Short Trick 3: formula for ratio and proportion
- If A : B : C : D = W : X : Y : Z and D : E = M : N then
and
2. If A : B : C : D = W : X : Y : Z and D : E : F = L : M : N then
Example: If A : B : C : D = 3 : 2 : 5 : 4 and D : E = 3 : 5 then find A : B : C : D : E ?
Type and Ratio Short Trick 4: formula for ratio and proportion
- First proportion , a = (b x c) / d
- Second proportion , b = (a x d) / c
- Third proportion , c = (a x d) / b
- Fourth proportion , d = (b x c)/ a
Example: ? : 3 : : 15 : 9
ratio and proportion aptitude tricks
Type and Ratio Short Trick 5: ratio and proportion aptitude tricks
By expiration a : b : : b : c :-
- First proportion , a = (b^2) / c
- Second proportion , b = (ac)^(1/2)
- Third proportion , c = (b^2) / a
Example:Find the first proportion of 6 and 9.
Type and Ratio Proportion Short Tricks 6:
If X has to divide in ratio of P and between Q has to divide into ratio of A : B, then
- Part of P = {a / (a+b)} x X
- Part of Q = {b / (a+b)} x X
- Difference between parts of P and Q = {(a-b) / (a+b)} x X [where a > b]
Example:If 320 rs has to divide in ratio of A and between B has to divide into ratio of 3 : 5, then find part of A , part of B and difference between A and B.
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>> Maths Short Tricks in Hindi <<
Type and Ratio Short Trick 7: ratio and proportion tricks
If ratio of parts of P and Q is a : b and difference between there parts is X, then
- Part of P = {a / (a-b)} x X
- Part of Q = {b / (a-b)} x X
- Difference between parts of P and Q = {(a+b) / (a-b)} x X [where a > b]
Example:The ratio between part of Amar and Suresh is 3 : 2. If part of Amar is more then Suresh by 500 rs , then find part of Suresh.
Type and Ratio Short Trick 8: ratio and proportion tricks
If ratio of parts of P and Q is a : b and part of P is X, then
- Part of Q = (b / a) x X
- Total part of P and Q = (a + b) x X
- Difference between parts of P and Q = {(a-b) / a} x X
Example:How much zinc should be added to 24 gram of copper, such that there ration will become 9:4
Type and Ratio Short Trick 9: Ratio Proportion Short Tricks
When there will be ratio of a : b : c in P , Q and R
1. If X is part of P,
- Part of Q = (b/a) x X
- Part of R = (c/a) x X
- Difference between parts of Q and R = {(b-c)/a} x X ,[where b>c]
- Total part of P,Q and R = {(a+b+c)/a} x X
2. If total part of P,Q and R will be X,
- Part of P,Q and R respectively :- a/(a+b+c) x X , b/(a+b+c) x X and c/(a+b+c) x X
- Difference between parts of P and Q = (a-b) / (a+b+c) x X , [where a>b]
- Difference between parts of Q and R = (b-c) / (a+b+c) x X , [where b>c]
3. If difference between parts of P and Q is X,
- Part of R = {c / (a-b)} x X, [where a>b]
- Total part of P,Q and R = {(a+b+c) / (a-b)} x X , [where a>b]
- Difference between parts of Q and R = (b-c) x X [where a>b and b>c]
Example: The ratio of pencil , pan and book in any shop is 10 : 2 : 3 , If there is 120 pencils then find the number of book?
Type and Ratio Short Trick 10:
Example: The two mixture of gold and copper is A and B. In A the ratio of gold and copper is 7:2 , there as in B the ratio of gold and copper is 7:11. In by mixing A and B in same quantity to form a new metal C, then what will be the ratio of gold and copper in C?
Type and Ratio Short Trick 11: Ratio Proportion Short Tricks
Example: Ramnath have some cows and cock. If total number of heads is 55 and total number of legs is 160 ,then how much cows did he have?
Type and Ratio Short Trick12:
Example: The value of 5 mangoes and 4 oranges is same as the value of 3 mangoes and 7 oranges, then find the price of one mango and one orange?
Type and Ratio Short Trick 13: Ratio Proportion Short Tricks
Example: In a bag note of 20 rs, 10 rs and 5 rs is in ratio of 3:4:5. If there is total 1000 rs, then find the number of notes of 5 rs?
Type and Ratio Short Trick 14: Ratio Proportion Short Tricks
Example: A milk seller purchase milk at the rate 7.75 rs per liter. How much water he should add such that on selling it at purchased rate he got 35% profit per liter?
Type and Trick 15: Ratio Proportion Short Tricks
Example: The ratio of income of A and B is 3:2 and the ratio of there expense is 5:3. If at the end of the month both of them save 100 rs, then what will be the annul income of A?
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Questions asked in competitive exams
