shortcut formulas for ratio and proportion problems-tricks with questions for exams _ meriview.in

8/9/2019 Shortcut Formulas for Ratio and Proportion Problems-Tricks With Questions for Exams _ MeriView.in

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The ratio of milk to water in a mixture is A:B . if P liters of water isadded to the mixture, then milk to water mixture ratio becomes A:C ,then the quantity of milk in the mixture is=AP/(C-B) litersAnd 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, theratio becomes c:d ,

Then1^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 theirexpenses is c:d , and each person saves a sum of x rupees,ThenIncome 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 5liters 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=5Now putting the formula as given aboveQuantity of milk = AP/(C-B) = (5*5)/(2-1) = 25 litersSo the answer is25 liters of milk is there in the initial mixture of milk and water.

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