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Class “5, , , , Ww MATHEMATICS, , Lesson - 26, Percentage, Lesson Guideline, 1. Teacher should explain the meaning of percent. dhow to convert given, , : i an, 2. Teacher should explain how to convert given number into percentage, percentage into a fraction or a decimal number. / oblems., 3. Teachershould explain how to find percentage of given quantity and solve word pr, 4. Introductory explanation of lesson may be given in Hindi., , Lesson, Introduction and meaning, Percentage means for every hundred (per means for every and cent means hundred)., Itisa fraction with denominator hundred., Abbreviation of percent is p.c and denoted by the symbol %, , x%means _x__ (x parts out of 100 equal parts)., 100, , Usefulness in daily life, , We use percentage for comparison. For e.g. If Kiran scored 16 marks out of 25 marks in Maths, test whereas Sudha scored 14 marks out of 20 marks, Find whose performance is better., , Now to find whose performance is better we will have to compare their performances:, , Here we will compare by taking total marks as 100 for both, i.e by converting their scores, into percentage., , We come across percents everyday in results, sales tax, interest, tips, discount, profit,, performances etc., , Ifyou have scored 100 marks out of 100 marks Le. full marks in exam then you have scored, 100 % marks., Example:, Total marks 100, 1. 100 (Hundred out of hundred) = 100% = 100 marks, 100, , 2. 10 (ten out of hundred) = 10% = 10 marks, 100, , , , 174

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MATHEMATICS Class -5, , 3. _1 (one outofhundred)= 1% =1 mark, 100, Now total marks are 500, , 1, 500 (five hundred out of five hundred) = 100% = 500 marks, , 500, , 2. _50 (fifty out of five hundred) = 10% =50 marks, 500, , 3. _5_ (five out of five hundred) = 1%=5 marks, 500, , To convert percent into fractional number, When a fraction is expressed with 100 as the denominator then it is called percent., , Examples : Express the given percentas fraction ., Toconverta percent intoa fraction, wereplace the symbol of % by_1_ and simplify the fraction., , 100, 1 35% = 35x 1= _35, 100 100, 2. 64% = 64x 1 = _64, 100 100, 3. 99% = 9 x 1= 99, 100 100, 4. 130% = 130x 1 = 130, 100 100, 5. 85% = 85 x 1 = 85, 100 100, , To convert decimal into percent, , Example: Convert following decimal into percent, , 20, = = 20%, i, Os, 4, , , , , , , , WSUS) Uirijale Camera

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~~ “, , Class “§, Ww MATHEMATICS, , , , , , , , , , , , , , , , = 25 _ 95%, 2. (0.25 100, = 50 _ 59%, 3. 0.50 i00, 1 _ 9, 4. 0.75= 799 = 75%, 62 5, 5. 062= 499 = 62%, Try to understand, a, ( Number 100% 10% 1% 110% 101%, 1000 1000 100 10 1100 1010, 500 500 50 5 550 505, 1200 1200 120 12 1320 1212, 300 800 80 8 880 808 |, (6000 6000 600 60 6600 6060, , , , , , , , , , , , , , From above examples we may find out that, , 100% of any number is number itself., 10% of any number is number divided by ten., 1% of any number is number divided by 100., , Ifwecan find out the 10%, 100%,, , 1% ofnumber then we may find out any percent of that number., Understand, , To find the value ofa given percent ofa given quantity,, , i we first convert the given percent, into a fraction or a decimal. Then we multiply the given quantity by this fraction or decimal., Examples :, , 1. Whatis 12% of 400, Solution: 12 x 409= 4g, 100, , , , SAMSUAG Trip, , ~ 1, , Satore Wate

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oo, , 2, Whatis30% of500, , Sol. 30. x 500 = 150, 100, , 3. Whatis 75% of 200, Sol. 75 x 200 = 150, 100, , 4. Whatis 150% of 500, Sol. 150 x 500 = 750, 100, , 5. Whatis 300% of40, Sol. 300 x 40 = 120, 100, , Common equivalences of percents,, Converting decimals, percents and fractions, , fractions and decimals for number, , , , , , , , , , , , , , , , , , , , , , , , , , , , { Decimal Percent Fraction \, 0.25 25% _1_ times, 4, 0.5 50% _1_ times, 2, 0.75 75% 3 times, 4, 0.1 10% _1_ times, 10, 0.2 20% _1_ times, 3), 0.4 40% _2_ times, 5, 0.6 60% _3_ times, 5, 0.8 80% _4_ times, 5, \ 1.0 100% 1 times, , , , , , , , ©, , : winds, , pHs Te 5, , —, , (a8), 5 3, , Be, , ea), , 17, , we, , Class - 5

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Ibias, — times, 12.5% | git!, {ee, | 37.5% : times, 62.5% : times, 87.5%, , , , , , , , , , , , Remember :, 1. Toconverta decimal intoa percent, we shift the decimal point two plies totherign,, 2. To convert a percent into a decimal, we drop the percent sign (%) and Shift the, decimal point two places to the left., , , , , , Exercise, Oral, 1. Say:, 1) 50%of100 2) 25% of60 3) 10% of50, 4) 50% of 80 5) 75% of80, 2. Say the following fractions as percentage ;, Da 3 3) 1, 4 4 10, 4H 1 5) 1, 2 5, , 3. Say the following percentage asa fraction:, 1) 82% 2) 15%, , 3) 65%, 4) 40% 5) 16%, , 6) 10%