In this document Percentages chaptee consists of theory an exercise problems., Study notes of Mathematics

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The term percent means “for every 100’. It is derived from french word ‘Cent’ which is 100 for french. The basic utility of percentage arises from the fact that it is one of the most powerful tool for comparison of numerical data and information. It is also one of the simplest tool for comparison of data. In the context of business and economic performance, it is specifically, useful for comparing data such as profits, growth rates, magnitude and so on. Calculation Since percentage represent the value obtained out of every 100, calculation can be done in following manner Value obtained Total value For example, let in IIT JEE examination Sanjay scored 135 marks out of 300 marks, Then Marks obtained by Sanjay in % term is equal to Percentage = x 100 135 —— = 45% 300°" As discussed earlier, percentage is amongst the most powerful tool for comparison, let for example Percentage Sweta scored 120 marks out of 150 and Rahul scored 360 marks out of 500 then Percentage score of Sewta = eo = 80% 150 360 — = 72% Percentage score of Rahul 500 fo Thus, it clearly shows that Sweta’s performance is better than Rahul's performance Other Comparison Let in Annual Examination Megha obtained 200 marks out of 300 and Sangeeta obtained 100 marks out of 300, Now to compare marks of Megha and Sangeeta two question arise 1. Megha’s marks is how much percentage greater than Sangeeta's marks? 2. Sangeeta’s marks is how much percentage less than Megha's marks obtaned? Megha 200 Sangeeta 100 Clearly Megha's marks is 100 greater than Sangeeta’s marks. Its means difference of marks - 100 = 100% Sangeeta marks 100 Now Sangeeta’s marks is 100 less than Megha's it means MADE EASY * Reasoning &Aptitude | 55