Percentage word problems play a major role quantitative aptitude test. There is no competitive exam without the questions from this topic. In GMAT, GRE, SAT and ACT syllabus also, percentage word problems are being given some considerable weight age. We have already learned this topic in our lower classes.Even though we have been already taught this topic in our lower classes, we need to learn some more short cuts which are being used to solve the problems in the above topic.
The only thing we have to do is,
we need to apply the appropriate short cut and solve the problems in a
limited time. This limited time will be one minute or less than one minute in most of
the competitive exams.
|1.Percentage is the way in which we express a number in terms of fraction of 100. The word "PERCENT" is formed by the combination of the two words "PER" and "CENT". That means per hundred.For example 45% = 45/100 or 0.45|
|2.If "x" is increased by P%, the value after increment = [(100+P)/100]x and increased value = P%of x = Px/100|
|3.If "x" is decreased by P%, the value after decrement = [(100-P)/100]x and decreased value = P%of x = Px/100.|
|4.If "x" is P% less than "y", then "y" is (100P/100-P)% more than "x"|
|5.If "x" is P% more than "y", then "y" is (100P/100+P)% less than "x"|
|6.If the price of a product is increased by P%, then the consumption will be decreased by (100P/100+P)%. So that the total expenditure remains same.|
|7.If the price of a product is decreased by P%, then the consumption will be increased by (100P/100-P)%. So that the total expenditure remains same.|
Students who are preparing to improve their aptitude skills and those who are preparing for this type of competitive test must prepare this topic in order to have better score. Because, today there is no competitive exam without questions from the topic time and work problems. Whether a person is going to write placement exam to get placed or a students is going to write a competitive exam in order to get admission in university, they must be prepared to solve percentage word problems. This is the reason for why people must study this topic.
As we mentioned in the above paragraph, a person who wants to get placed in a company and a students who wants to get admission in university for higher studies must write competitive exams like placement test and entrance exam. To meet the above requirement, it is very important to score more marks in the above mentioned competitive exams. To score more marks, they have to prepare this topic. Preparing this topic would definitely improve their marks in the above exams. Preparing this topic is not difficult task. We are just going to remember the stuff that we have already learned in our lower classes
Short cut is nothing but the easiest way to solve percentage word problems. In competitive exams, we will have very limited time to solve each problem. Then only we will be able to attend all the questions. If we do problems in competitive exams in perfect manner with all the steps, it will definitely take much time and we may not able to attend the other questions. So we need some other way in which the problems can be solved in a very short time. The way we need to solve the problem quickly is called as shortcut.
Here, we are going to have some percentage word problems for which you can check your answer online and see step by step solution.
1. The production of rice increased by 50% from 1995 to 1996.By what percentage should the production of rice be increased from 1996 to 1997, so that the production of rice in 1997 becomes six times that of 1995?