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Shortcut Formulas for Ratio and proportion problems-Tricks with questions for exams 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 candidate to learn the shortcut tricks to solve these ratio and problems problems if they are preparing for competitive exams like ssc or ibps etc. 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. Some of the Awesome Shortcut Tricks are given at Tricks tab on top menu. Shortcut Method of Solving number of Coins in a sum of money is discussed here l> Here If a 1^st 2^nd
are some very important ratio and proportion problems shortcuts number x is divided in the ratio a:b ,then part will be=ax/(a+b) part will be= bx/(a+b)
Or if the 1^st part 2^nd part 3^rd part
number x is divided in three ratios as a:b:c , then will be=ax/(a+b+c) will be=bx/(a+b+c) will be= cx/(a+b+c)
Shortcut Formulas for Profit and Loss Questions with Examples tml> 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.
Stay tuned for more to come soon. Related Posts * Ratio and Proportion-Coins Proportion-Coins Problems Problems Shortcut Shortcut in Quantitative Aptitude-Simple Trick to solve faster * IAS EXAM EXAM PATTERN 2014 with SYLLABUS AND PDF INDIAN ADMINISTRATIVE SERVICE EXAM PATTERN 2014
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