SlideShare uma empresa Scribd logo
1 de 17
Baixar para ler offline
Welcome
to
our presentation
Group 4
Percentage
The word percent
means “Per
Hundred”
Perce
nt
A percent is a fraction with 100
as denominator in each case.
The symbol % is used to indicate
a percent.
So, x percent Means x
hundredths, written as x%
To express x% as a fraction;
we have x% = 100
x
Way to express parts of a whole
Fraction =
Decimal = 0.25
Percent = 25%
Ratio = 1:4
4
1
Express percent to
fraction or decimal.
 20% = = 0.20
 Express decimal to
fraction or percent.

Express fraction to decimal
or percent.
 = = 0.25 = 25%
100
20
4
1






100
4
1
%5.0%100
200
1
200
1
1000
5
005.0 






Problems of percentage
 10 % of 80 is calculated by
 30 is what percentage of 120?
Here,
 is what percentage of
Problems of percentage
2
1
3
1
8
100
10
80 






%25
4
1
100
120
30
100
%


Whole
Part
or
Of
Is
%150%100
1
3
2
1







Problems of percentage
 ? % of 250 is 25?
Let ,
x% of 250 = 25
Then,
10,
250
10025
,
25
100
250
25250
100





xso
xor
x
or
x
Find the missing figures
 20% of ? is 60?
Let ,
20% of x = 60
Then,
300,
20
10060
,
60
20
100
,
60
100
20





xso
xor
xor
x
Problems of percentage
If certain value p increase by
x% then increased value
= (100+x)% of P
Ex. The price of a book is 400
and if price increase by 25%
then what will be the
increased price of this book.
Sol.
The required price will be
(100+25) % of 400
=
=500
If certain value p decrease by
x% then decreased value
= ( 100-x)% of P
Ex. The price of a fan is 5000
and if price decrease by 20%
then what will be the
decreased price of this Fan.
Sol.
The required price will be
(100-25) % of 5000
=
=3750
400
100
125
 5000
100
75

Problems of percentage
Percent Change
Ex. The price of cup of coffee increased from 80 cents to
84 cents. By what percent did the price change
Sol.
Let the percent change is x%
The required percent is,
%5100
80
4
80
8084
100



x
x
Problems of percentage
Ex. If stereo was marked down by 30% and sold for
$84 .What was the presale price of the stereo?
Sol.
Let , the original value of stereo is x
And the new value of stereo is (100-30)=70
So we can use this formula
120,
8407,
84
100
70



xso
xor
x
Problems of percentage
 If the price of commodity
increases by R% ,then the
reduction in consumption so
as not to increase the
expenditure is
=
 If A is R% more than B then
B is less than A
By
 If the price of commodity
decreases by R% ,then the
increase in consumption so
as not to decrease the
expenditure is
=
 If A is R% less than B then
B is more than A
By
%100
100







 R
R %100
100







 R
R
%100
100







 R
R
%100
100







 R
R
Problems of percentage
Ex. If the price of sugar
decreases by 20%, than how
much in percent we have to
increase in consumption if
we want to keep expenditure
same.
Sol
So required percentage will
be ,
Ex. If Aslam’s income is
25% more than that of
Asma’s than by how much in
percent is Asma’s income
less than that of Aslam.
Sol
So required percentage will
be,
%20
%100
)25100(
25
%100
100

















 R
R
%25
%100
)20100(
20
%100
100

















 R
R
Problems of percentage
Result on population
Let the population of a town be P now and suppose it increase at the rate of
R% per annum , then
Result on the depreciation
Let the present value of a machine be P. suppose it depreciates at the rate of
R % per annum then
n
R
PyearsnafterPopulation 






100
1___.1
n
R
P
agoyearsnPopulation








100
1
___.2
n
R
P
agoyearsnmachinetheofValue








100
1
______.2
n
R
PyearsnaftermachinetheofValue 






100
1______.1
Problems of percentage
Ex. The population of a town is 176400.If it increase at the
rate of 5% per annum ,what will be its population 2 years
hence? what was it 2 years ago?
Sol,
So, Population after 2 years =
So, Population 2 years ago =
n
R
PyearsnafterPopulation 






100
1___
194481
100
5
1176400
2







n
R
P
agoyearsnPopulation








100
1
___
160000
100
5
1
176400
2








Problems of percentage
Ex. The value of a machine depreciates at the rate of 10% per
annum . If its present value is $162000,what will be its worth
after 2 year ? What was the value of the machine 2 years ago?
Sol.
n
R
PyearsnaftermachinetheofValue 






100
1______
n
R
P
agoyearsnmachinetheofValue








100
1
______
131220
100
10
1162000
2







200000
100
5
1
162000
2








So, The value of machine 2 years ago
So, The value of machine after 2 years
Problems of percentage
Ex. If Rana sold a book to Roni at 25% losses and Roni
sales that book to Runi at $117 with 30% profit .What
was the purchase value of this book of Rana?
Ans. $120
Ex. If the difference between 20% and 30% of a keyboard
price is $50 ,what is the price of this keyboard?
Ans. $500
Ex. When the price of product was decreased by 10%, the
number of sold increased by 30%. What was the effect
on the total revenue ?
Ans. 17%
Percentage math basics
Thanks
For
Your patient

Mais conteúdo relacionado

Mais procurados

Exponents and power
Exponents and powerExponents and power
Exponents and powerNidhi Singh
 
CLASS V MATHS FRACTIONS
CLASS V MATHS FRACTIONSCLASS V MATHS FRACTIONS
CLASS V MATHS FRACTIONSRc Os
 
Factor trees
Factor treesFactor trees
Factor treescpugh5345
 
Factorising algebraic expressions
Factorising algebraic expressionsFactorising algebraic expressions
Factorising algebraic expressionsMrGarvey
 
Fractions decimals-and-percents
Fractions decimals-and-percentsFractions decimals-and-percents
Fractions decimals-and-percentstvierra
 
Fractions to percents
Fractions to percentsFractions to percents
Fractions to percentskhyps13
 
Converting Decimals and Percents
Converting Decimals and PercentsConverting Decimals and Percents
Converting Decimals and PercentsJim Olsen
 
Math 6 - Percentage
Math 6 - PercentageMath 6 - Percentage
Math 6 - Percentagemenchreo
 
Comparing Fractions
Comparing FractionsComparing Fractions
Comparing Fractionsitutor
 
Squares & square roots - class 8th
Squares & square roots -  class 8th Squares & square roots -  class 8th
Squares & square roots - class 8th sanarajar786
 
Factors & multiples
Factors & multiplesFactors & multiples
Factors & multiplesEnoch Ng
 
Multiply And Divide Decimals By Powers Of 10
Multiply And Divide Decimals By Powers Of 10Multiply And Divide Decimals By Powers Of 10
Multiply And Divide Decimals By Powers Of 10Brooke Young
 
Decimal powerpoint presentation
Decimal powerpoint presentationDecimal powerpoint presentation
Decimal powerpoint presentationg2desai
 

Mais procurados (20)

Ratio & proportion
Ratio & proportionRatio & proportion
Ratio & proportion
 
Exponents and power
Exponents and powerExponents and power
Exponents and power
 
CLASS V MATHS FRACTIONS
CLASS V MATHS FRACTIONSCLASS V MATHS FRACTIONS
CLASS V MATHS FRACTIONS
 
Factor trees
Factor treesFactor trees
Factor trees
 
The Percentages Pack
The Percentages PackThe Percentages Pack
The Percentages Pack
 
Factorising algebraic expressions
Factorising algebraic expressionsFactorising algebraic expressions
Factorising algebraic expressions
 
Integers
IntegersIntegers
Integers
 
Equivalent fraction
Equivalent fractionEquivalent fraction
Equivalent fraction
 
Fractions
FractionsFractions
Fractions
 
Fractions decimals-and-percents
Fractions decimals-and-percentsFractions decimals-and-percents
Fractions decimals-and-percents
 
Algebraic expressions
Algebraic expressionsAlgebraic expressions
Algebraic expressions
 
Fractions to percents
Fractions to percentsFractions to percents
Fractions to percents
 
Converting Decimals and Percents
Converting Decimals and PercentsConverting Decimals and Percents
Converting Decimals and Percents
 
Math 6 - Percentage
Math 6 - PercentageMath 6 - Percentage
Math 6 - Percentage
 
Ratio slideshow
Ratio slideshowRatio slideshow
Ratio slideshow
 
Comparing Fractions
Comparing FractionsComparing Fractions
Comparing Fractions
 
Squares & square roots - class 8th
Squares & square roots -  class 8th Squares & square roots -  class 8th
Squares & square roots - class 8th
 
Factors & multiples
Factors & multiplesFactors & multiples
Factors & multiples
 
Multiply And Divide Decimals By Powers Of 10
Multiply And Divide Decimals By Powers Of 10Multiply And Divide Decimals By Powers Of 10
Multiply And Divide Decimals By Powers Of 10
 
Decimal powerpoint presentation
Decimal powerpoint presentationDecimal powerpoint presentation
Decimal powerpoint presentation
 

Semelhante a Percentage math basics

Aptitude_Day05.pptx
Aptitude_Day05.pptxAptitude_Day05.pptx
Aptitude_Day05.pptxvikiawsac
 
S5 pre reading percentage_final
S5 pre reading percentage_finalS5 pre reading percentage_final
S5 pre reading percentage_finalPraveen Tyagi
 
Percentages for competetive exams
Percentages for  competetive examsPercentages for  competetive exams
Percentages for competetive examsavdheshtripathi2
 
2.1 fractions, decimals, and percents
2.1 fractions, decimals, and percents2.1 fractions, decimals, and percents
2.1 fractions, decimals, and percentsgheovani
 
Percentages and discounts tutorial
Percentages and discounts tutorialPercentages and discounts tutorial
Percentages and discounts tutorialEdTechonGC Mallett
 
PERCENTAGE (CLASS V - MATH) IGCSE BOARD
PERCENTAGE (CLASS V - MATH) IGCSE BOARDPERCENTAGE (CLASS V - MATH) IGCSE BOARD
PERCENTAGE (CLASS V - MATH) IGCSE BOARDPooja M
 
Solve Percentages
Solve PercentagesSolve Percentages
Solve Percentagesdcsangwan
 
Fraction, Decimal & Percent.ppt
Fraction, Decimal & Percent.pptFraction, Decimal & Percent.ppt
Fraction, Decimal & Percent.pptMarkJamesSagaral2
 
RS Agarwal Quantitative Aptitude - 10 chap
RS Agarwal Quantitative Aptitude - 10 chapRS Agarwal Quantitative Aptitude - 10 chap
RS Agarwal Quantitative Aptitude - 10 chapVinoth Kumar.K
 
Percentages for aptitude..includes various problems with tricks
Percentages for aptitude..includes various problems with tricksPercentages for aptitude..includes various problems with tricks
Percentages for aptitude..includes various problems with tricksgkeerthana1108
 
December 6, 2013
December 6, 2013December 6, 2013
December 6, 2013khyps13
 
Percentages guidedollars
Percentages guidedollarsPercentages guidedollars
Percentages guidedollarsSmithnz
 
December 12, 2014
December 12, 2014December 12, 2014
December 12, 2014khyps13
 

Semelhante a Percentage math basics (20)

Matemática
MatemáticaMatemática
Matemática
 
Percentages
PercentagesPercentages
Percentages
 
Discount and commission
Discount and commissionDiscount and commission
Discount and commission
 
Aptitude_Day05.pptx
Aptitude_Day05.pptxAptitude_Day05.pptx
Aptitude_Day05.pptx
 
S5 pre reading percentage_final
S5 pre reading percentage_finalS5 pre reading percentage_final
S5 pre reading percentage_final
 
Percentages for competetive exams
Percentages for  competetive examsPercentages for  competetive exams
Percentages for competetive exams
 
2.1 fractions, decimals, and percents
2.1 fractions, decimals, and percents2.1 fractions, decimals, and percents
2.1 fractions, decimals, and percents
 
10. percentage
10. percentage10. percentage
10. percentage
 
Percentages and discounts tutorial
Percentages and discounts tutorialPercentages and discounts tutorial
Percentages and discounts tutorial
 
PERCENTAGE (CLASS V - MATH) IGCSE BOARD
PERCENTAGE (CLASS V - MATH) IGCSE BOARDPERCENTAGE (CLASS V - MATH) IGCSE BOARD
PERCENTAGE (CLASS V - MATH) IGCSE BOARD
 
Qa percentage
Qa percentageQa percentage
Qa percentage
 
Mathematics
MathematicsMathematics
Mathematics
 
Solve Percentages
Solve PercentagesSolve Percentages
Solve Percentages
 
Fraction, Decimal & Percent.ppt
Fraction, Decimal & Percent.pptFraction, Decimal & Percent.ppt
Fraction, Decimal & Percent.ppt
 
RS Agarwal Quantitative Aptitude - 10 chap
RS Agarwal Quantitative Aptitude - 10 chapRS Agarwal Quantitative Aptitude - 10 chap
RS Agarwal Quantitative Aptitude - 10 chap
 
Percentages for aptitude..includes various problems with tricks
Percentages for aptitude..includes various problems with tricksPercentages for aptitude..includes various problems with tricks
Percentages for aptitude..includes various problems with tricks
 
December 6, 2013
December 6, 2013December 6, 2013
December 6, 2013
 
Percentages guidedollars
Percentages guidedollarsPercentages guidedollars
Percentages guidedollars
 
Percentages.pdf
Percentages.pdfPercentages.pdf
Percentages.pdf
 
December 12, 2014
December 12, 2014December 12, 2014
December 12, 2014
 

Último

Quality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICEQuality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICESayali Powar
 
The basics of sentences session 10pptx.pptx
The basics of sentences session 10pptx.pptxThe basics of sentences session 10pptx.pptx
The basics of sentences session 10pptx.pptxheathfieldcps1
 
Prescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxPrescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxraviapr7
 
AUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptxAUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptxiammrhaywood
 
What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?TechSoup
 
How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17Celine George
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.EnglishCEIPdeSigeiro
 
Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.raviapr7
 
In - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptxIn - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptxAditiChauhan701637
 
Patterns of Written Texts Across Disciplines.pptx
Patterns of Written Texts Across Disciplines.pptxPatterns of Written Texts Across Disciplines.pptx
Patterns of Written Texts Across Disciplines.pptxMYDA ANGELICA SUAN
 
Education and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxEducation and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxraviapr7
 
HED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdfHED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdfMohonDas
 
Ultra structure and life cycle of Plasmodium.pptx
Ultra structure and life cycle of Plasmodium.pptxUltra structure and life cycle of Plasmodium.pptx
Ultra structure and life cycle of Plasmodium.pptxDr. Asif Anas
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptxraviapr7
 
How to Show Error_Warning Messages in Odoo 17
How to Show Error_Warning Messages in Odoo 17How to Show Error_Warning Messages in Odoo 17
How to Show Error_Warning Messages in Odoo 17Celine George
 
The Singapore Teaching Practice document
The Singapore Teaching Practice documentThe Singapore Teaching Practice document
The Singapore Teaching Practice documentXsasf Sfdfasd
 
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRADUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRATanmoy Mishra
 
How to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesHow to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesCeline George
 

Último (20)

Quality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICEQuality Assurance_GOOD LABORATORY PRACTICE
Quality Assurance_GOOD LABORATORY PRACTICE
 
The basics of sentences session 10pptx.pptx
The basics of sentences session 10pptx.pptxThe basics of sentences session 10pptx.pptx
The basics of sentences session 10pptx.pptx
 
Finals of Kant get Marx 2.0 : a general politics quiz
Finals of Kant get Marx 2.0 : a general politics quizFinals of Kant get Marx 2.0 : a general politics quiz
Finals of Kant get Marx 2.0 : a general politics quiz
 
Prescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptxPrescribed medication order and communication skills.pptx
Prescribed medication order and communication skills.pptx
 
AUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptxAUDIENCE THEORY -- FANDOM -- JENKINS.pptx
AUDIENCE THEORY -- FANDOM -- JENKINS.pptx
 
What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?What is the Future of QuickBooks DeskTop?
What is the Future of QuickBooks DeskTop?
 
How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17How to Make a Field read-only in Odoo 17
How to Make a Field read-only in Odoo 17
 
Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.Easter in the USA presentation by Chloe.
Easter in the USA presentation by Chloe.
 
Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.Drug Information Services- DIC and Sources.
Drug Information Services- DIC and Sources.
 
In - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptxIn - Vivo and In - Vitro Correlation.pptx
In - Vivo and In - Vitro Correlation.pptx
 
Patterns of Written Texts Across Disciplines.pptx
Patterns of Written Texts Across Disciplines.pptxPatterns of Written Texts Across Disciplines.pptx
Patterns of Written Texts Across Disciplines.pptx
 
Education and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptxEducation and training program in the hospital APR.pptx
Education and training program in the hospital APR.pptx
 
HED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdfHED Office Sohayok Exam Question Solution 2023.pdf
HED Office Sohayok Exam Question Solution 2023.pdf
 
Ultra structure and life cycle of Plasmodium.pptx
Ultra structure and life cycle of Plasmodium.pptxUltra structure and life cycle of Plasmodium.pptx
Ultra structure and life cycle of Plasmodium.pptx
 
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptxClinical Pharmacy  Introduction to Clinical Pharmacy, Concept of clinical pptx
Clinical Pharmacy Introduction to Clinical Pharmacy, Concept of clinical pptx
 
How to Show Error_Warning Messages in Odoo 17
How to Show Error_Warning Messages in Odoo 17How to Show Error_Warning Messages in Odoo 17
How to Show Error_Warning Messages in Odoo 17
 
The Singapore Teaching Practice document
The Singapore Teaching Practice documentThe Singapore Teaching Practice document
The Singapore Teaching Practice document
 
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRADUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
DUST OF SNOW_BY ROBERT FROST_EDITED BY_ TANMOY MISHRA
 
How to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 SalesHow to Manage Cross-Selling in Odoo 17 Sales
How to Manage Cross-Selling in Odoo 17 Sales
 
Prelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quizPrelims of Kant get Marx 2.0: a general politics quiz
Prelims of Kant get Marx 2.0: a general politics quiz
 

Percentage math basics

  • 2. Percentage The word percent means “Per Hundred” Perce nt A percent is a fraction with 100 as denominator in each case. The symbol % is used to indicate a percent. So, x percent Means x hundredths, written as x% To express x% as a fraction; we have x% = 100 x
  • 3. Way to express parts of a whole Fraction = Decimal = 0.25 Percent = 25% Ratio = 1:4 4 1
  • 4. Express percent to fraction or decimal.  20% = = 0.20  Express decimal to fraction or percent.  Express fraction to decimal or percent.  = = 0.25 = 25% 100 20 4 1       100 4 1 %5.0%100 200 1 200 1 1000 5 005.0        Problems of percentage
  • 5.  10 % of 80 is calculated by  30 is what percentage of 120? Here,  is what percentage of Problems of percentage 2 1 3 1 8 100 10 80        %25 4 1 100 120 30 100 %   Whole Part or Of Is %150%100 1 3 2 1       
  • 6. Problems of percentage  ? % of 250 is 25? Let , x% of 250 = 25 Then, 10, 250 10025 , 25 100 250 25250 100      xso xor x or x Find the missing figures  20% of ? is 60? Let , 20% of x = 60 Then, 300, 20 10060 , 60 20 100 , 60 100 20      xso xor xor x
  • 7. Problems of percentage If certain value p increase by x% then increased value = (100+x)% of P Ex. The price of a book is 400 and if price increase by 25% then what will be the increased price of this book. Sol. The required price will be (100+25) % of 400 = =500 If certain value p decrease by x% then decreased value = ( 100-x)% of P Ex. The price of a fan is 5000 and if price decrease by 20% then what will be the decreased price of this Fan. Sol. The required price will be (100-25) % of 5000 = =3750 400 100 125  5000 100 75 
  • 8. Problems of percentage Percent Change Ex. The price of cup of coffee increased from 80 cents to 84 cents. By what percent did the price change Sol. Let the percent change is x% The required percent is, %5100 80 4 80 8084 100    x x
  • 9. Problems of percentage Ex. If stereo was marked down by 30% and sold for $84 .What was the presale price of the stereo? Sol. Let , the original value of stereo is x And the new value of stereo is (100-30)=70 So we can use this formula 120, 8407, 84 100 70    xso xor x
  • 10. Problems of percentage  If the price of commodity increases by R% ,then the reduction in consumption so as not to increase the expenditure is =  If A is R% more than B then B is less than A By  If the price of commodity decreases by R% ,then the increase in consumption so as not to decrease the expenditure is =  If A is R% less than B then B is more than A By %100 100         R R %100 100         R R %100 100         R R %100 100         R R
  • 11. Problems of percentage Ex. If the price of sugar decreases by 20%, than how much in percent we have to increase in consumption if we want to keep expenditure same. Sol So required percentage will be , Ex. If Aslam’s income is 25% more than that of Asma’s than by how much in percent is Asma’s income less than that of Aslam. Sol So required percentage will be, %20 %100 )25100( 25 %100 100                   R R %25 %100 )20100( 20 %100 100                   R R
  • 12. Problems of percentage Result on population Let the population of a town be P now and suppose it increase at the rate of R% per annum , then Result on the depreciation Let the present value of a machine be P. suppose it depreciates at the rate of R % per annum then n R PyearsnafterPopulation        100 1___.1 n R P agoyearsnPopulation         100 1 ___.2 n R P agoyearsnmachinetheofValue         100 1 ______.2 n R PyearsnaftermachinetheofValue        100 1______.1
  • 13. Problems of percentage Ex. The population of a town is 176400.If it increase at the rate of 5% per annum ,what will be its population 2 years hence? what was it 2 years ago? Sol, So, Population after 2 years = So, Population 2 years ago = n R PyearsnafterPopulation        100 1___ 194481 100 5 1176400 2        n R P agoyearsnPopulation         100 1 ___ 160000 100 5 1 176400 2        
  • 14. Problems of percentage Ex. The value of a machine depreciates at the rate of 10% per annum . If its present value is $162000,what will be its worth after 2 year ? What was the value of the machine 2 years ago? Sol. n R PyearsnaftermachinetheofValue        100 1______ n R P agoyearsnmachinetheofValue         100 1 ______ 131220 100 10 1162000 2        200000 100 5 1 162000 2         So, The value of machine 2 years ago So, The value of machine after 2 years
  • 15. Problems of percentage Ex. If Rana sold a book to Roni at 25% losses and Roni sales that book to Runi at $117 with 30% profit .What was the purchase value of this book of Rana? Ans. $120 Ex. If the difference between 20% and 30% of a keyboard price is $50 ,what is the price of this keyboard? Ans. $500 Ex. When the price of product was decreased by 10%, the number of sold increased by 30%. What was the effect on the total revenue ? Ans. 17%