DI Made Easy

7/27/2019 DI Made Easy

1/15

Slide 1

DI MADE EASY

By: Pradeep [email protected]

Slide 2

DI MADE EASY

Percentages Averages

Overall % ChangeRatios

Alligations andMixtures

Slide 3PERCENTAGE

Fractional Equivalent. SAGRand CAGR Multiplying Factors( M.F) Successive % Change OMF Overall % Change Minimum and Maximum Overall %

Change.


2/15

Slide 4

1.Q. In which region the percentage of number of studentswhoappeared f or the examto that of t he number of studentswhoapplied f or the Examis maximum?

1. South-Central Region 2. East Central Region3. East Region 4. Southern Region

No. Phase of

selection

Northern

Region

WesternRegion

Central

Region

SouthernRegion

SouthCentralRegion

EastCentralRegion

East

Region

47600 Appliedfor Exam 18% 15% 11% 23% 9% 10% 14%

38700 AppearedFortheExam

16% 14% 8% 21% 11% 13% 17%

6900 Qualifiedfor GD

13% 17% 12% 14% 15% 21% 8%

1300 Qualifiedfor interview

10% 15% 17% 8% 20% 14% 16%

300 Selectedfor theCourse 19% 7% 10% 16% 13% 23% 12%

Slide 5

2.Q. The number of studentswho applied for the examf romthecentral region is how much more than the number of studentswho appeared for the exam?

1. 65.5 % 2. 74.75% 3. 61.5% 4. 66.66%

No. Phase of

selection

Northern

Region

WesternRegion

Central

Region

SouthernRegion

SouthCentralRegion

EastCentral

Region

East

Region

47600 Appliedfor Exam 18% 15% 11% 23% 9% 10% 14%

38700 Appeared

FortheExam

16% 14% 8% 21% 11% 13% 17%

6900 Qualifiedfor GD

13% 17% 12% 14% 15% 21% 8%

1300 Qualifiedfor interview

10% 15% 17% 8% 20% 14% 16%


Slide 6

3.Q. Each of the following question consist of tw o statements. Choose the correct answer choice:

A. Only I isTrue. B. Only II isTrue C. Both I and II are trueD. Neither I nor II isTrue.

St I : The number of students who w ere selected for the course from EastCentral Region asa percentage of those who qualified for GD ishighest.

St II : The ratio of the number of students who appli ed for the exam fromSouthern Region to that of those who appeared for the exam from thecentral region is more than 3.

No. Phase of selection

NorthernRegion

WesternRegion

CentralRegion

SouthernRegion

SouthCentralRegion

EastCentral

Region

EastRegion

47600 Appliedfor Exam 18% 15% 11% 23% 9% 10% 14%

38700 AppearedForthe Exam 16% 14% 8% 21% 11% 13% 17%

6900 Qualifiedf or GD 13% 17% 12% 14% 15% 21% 8%

1300 Qualifiedf or interview 10% 15% 17% 8% 20% 14% 16%



3/15

Slide 7

4.Q. Each of the following question consist of tw o statements. Choose the correct answer choice:

A. Only I isTrue. B. Only II isTrue C. Both I and II are trueD. Neither I nor II isTrue.

St I : The number of studentswho appea red for the exam but were notselected for the course isl esstha n corresponding figure for any other region.

St II : The ratio of the number of studentsw ho qualified for GDs from theSouthern Region to that of those who did not qualify f or interviews ismore than corresponding figure for any other region.

No. Phase of

selection

Northern

Region

WesternRegion

Central

Region

SouthernRegion

SouthCentralRegion

EastCentral

Region

East

Region

47600 Appliedfor Exam 18% 15% 11% 23% 9% 10% 14%

38700 AppearedForthe Exam 16% 14% 8% 21% 11% 13% 17%

6900 Qualifiedf or GD 13% 17% 12% 14% 15% 21% 8%

1300 Qualifiedf or interview 10% 15% 17% 8% 20% 14% 16%


Slide 8 PercentageDirection: The following bar graph shows the sale of company A,B andC from 2005 to 09(Figs in rupees million)

5. Find the SAGR in the sale of company B from 2005 to 2009 .1. 16.66% 2. 17.5% 3. 19.75% 4. 26.25%


6.Q. Find the CAGR in the sale of c ompany B from 2006 to 2009 .1. 9.75% 2. 11.25% 3.21.5% 4. 15.8%


4/15


7. In which year the sale of company A is minimum % of the sale of company B.


8. Find the share of the sale of company A in 2007 outof the total sale of company A in the given years.1.19.80 % 2. 20.5% 3.19% 4. 21.25%


9. If the percentage profit earned by company B in year 2008 and 2009 is 35% and 42% respectively, find thepercentage increase in profit from 2008 to 2009.


5/15


10. If the percentage increase in the sale of company B in year 2010with respect to 2009 is 35%. Find the percentage increase in thesale company A from 2009 to 2010 such that the sale of company Aand B are equal in 2010.

Slide 14Successive % Change

Direction: Percentage growth in population of sixcountries over the respective previous years.Country 2006 2007 2008 2009 2010India 10 15 18 20 23China 8 10 15 18 21Pakistan 12 16 20 18 15Sri Lanka 11 14 17 20 23Bangladesh 15 18 21 25 30Malaysia 5 10 15 20 2511. Which country have the maximum % Change in population from2006 to 2010?


Direction: Percentage growth in population of sixcountries over the respective previous years.Country 2006 2007 2008 2009 2010India 10 15 18 20 23China 8 10 15 18 21Pakistan 12 16 20 18 15Sri Lanka 11 14 17 20 23Bangladesh 15 18 21 25 30Malaysia 5 10 15 20 2512. If the population of Malaysia in 2010 is 175 Million, then thepopulation of Malaysia in 2007 was approximately1. 97 Million 2. 95.5 Million 3. 101.5 Million 4. 104.5 Million


6/15


Direction: Percentage growth in population of sixcountries over the respective previous years.Country 2006 2007 2008 2009 2010India 10 15 18 20 23China 8 10 15 18 21Pakistan 12 16 20 18 15Sri Lanka 11 14 17 20 23Bangladesh 15 18 21 25 30Malaysia 5 10 15 20 2513. By approximately what percentage is the p opulation of India in2010 more than the population of China in 2007, if both thecountries had the same population in year 2006.1. 82% 2. 80% 3. 84% 4. 78%


Year 1971-81 1981-91 1991-2001 2001-2011

% Change inpopulation

+ 23.33% + 18.75% - 33.33% + 15.78%

The following table shows the decadal percentage change in thepopulation of Kawasaki Island.

14.Q. Find the population of th e Island in the year 1971 if thepopulation of the Island in year 2011 is 1628 thousand?

15.Q. Find the SAGR in the population of Island from 1971 to2011?


The sale of Shop Cell world inthe month of July and Augustwas 6.8 Lacsand 8.5 Lacsrespectively. The percentageshare of different brand in themonth of July and August isgiven in the following table.

Month andBrand

July,12 Aug,12

Samsung 24.4 30.5Nokia 18.6 15.5LG 18 15Sony 13 12Micromax 7 11Karbon 6 10Spice 13 6

16.Q. Find the percentage change in the sale of Samsung from July toAugust .

.


7/15


The sale of Shop Cell world inthe month of July and Augustwas 6.8 Lacs and 8.5 Lacsrespectively. The percentageshare of different brand in themonth of July and August isgiven in the following table.

Month andBrand

July,12 Aug,12

Samsung 24.4 30.5Nokia 18.6 15.5LG 18 15Sony 13 12Micromax 7 11

Karbon 6 10Spice 13 6

17.Q. If the percentage profit earned by LG is 32.8 % and 45.1%respectively in the month of July and August , then the percentageincrease in profit is .


The sale of Shop Cell world inthe month of July and Augustwas 6.8 Lacs and 8.5 Lacsrespectively. The percentageshare of different brand in themonth of July and August isgiven in the following table.

Month and

Brand

July,12 Aug,12

Samsung 24.4 30.5Nokia 18.6 15.5LG 18 15Sony 13 12Micromax 7 11Karbon 6 10Spice 13 6

18.Q. If the sale of Nokia in July,2012 was under reported by 25 %.Find the actual share of Nokia in July,2012 when this mistake iscorrected ?

Slide 21D.I Made Easy

Average Weighted Mean Assumed Mean Concept. Difference of Average = Average of

difference. Difference of weighted mean = Weighted

mean of difference.


8/15

Slide 22Direction: Answer the questionson the basis of t able g ivenbelow. The fol lowing tabl e showsthe percentage of marksobtained by students A,B,C,D and Ein the six semester ex ams.

Semester andFull Marks

I II III IV V VI

120 60 75 150 90 45

A 67 58 54 69 71 44

B 59 71 56 66 77 56

C 68 72 76 80 84 88

D 78 74 70 66 62 58E 74 74 78 78 74 78

Weighted Average

Q.19. Find the aggregate marks obtained by student Ain all the six semester together.

Slide 23Direction: Answer the questionson the basis of t able g ivenbelow. The fol lowing tabl e showsthe percentage of marks

obtained by students A,B,C,D and Ein the six semester ex ams.Semester and

Full MarksI II III IV V VI

120 60 75 150 90 45

A 67 58 54 69 71 44

B 59 71 56 66 77 56

C 68 72 76 80 84 88

D 78 74 70 66 62 58

E 74 74 78 78 74 78

Weighted Average

Q.20. Find the difference between the aggregate % of marks obtained by B and A. ( in terms of percentagepoint).



I II III IV V VI

120 60 75 150 90 45

A 67 58 54 69 71 44

B 59 71 56 66 77 56

C 68 72 76 80 84 88

D 78 74 70 66 62 58

E 74 74 78 78 74 78

Weighted Average

Q.23. Find the aggregate % of marks obtained by allfive students in semester II andSemester V together.


9/15



I II III IV V VI

120 60 75 150 90 45

A 67 58 54 69 71 44

B 59 71 56 66 77 56

C 68 72 76 80 84 88

D 78 74 70 66 62 58E 74 74 78 78 74 78

Weighted Average

Q.24. Find the aggregate marks obtained bystudent E in all six semester together.

Slide 26 Overall PercentageDirection: The following table shows the Percentage growth in the number of

vehicles in each of Six States from 2006-07 in the country Pollusia. Assume thatthese are the only Six States. It is known that, in the year 2006, in each state,

each of the four type of vehicles comprised at least One-Sixth of the total number of vehicles in that state in 2006.

Type of vehicles State

A B C D E FTwo-wheelers 16.64% 11.8% 8.88% 18.4% 13.36% 19.96%

Three-wheelers 14.32% 9.2% 9.96% 12.6% 11.46% 16.66%

PassengerVehicles

10.86% 12.6% 12.44% 10.1% 16.66% 13.4%

Commercial

Vehicles11.46% 15.46% 11.68% 14% 12.30% 11.98%

25.Q.The maximum possible percentage increase in the totalnumber of vehicles in the state B from 2006-07 is

1. 12.25% 2. 13.33 % 3. 12.96% 4. 13.75 % 5. 13.96%

Slide 27 Overall PercentageDirection: The following table shows the Percentage growth in the number of

vehicles in each of Six States from 2006-07 in the country Pollusia. Assume thatthese are the only Six States. It is known that, in the year 2006, in each state,each of the four type of vehicles comprised at least One-Sixth of the total number of vehicles in that state in 2006.

Type of vehicles State


Three-wheelers 14.32% 9.2% 9.96% 12.6% 11.46% 16.66%

PassengerVehicles

10.86% 12.6% 12.44% 10.1% 16.66% 13.4%

Commercial

Vehicles11.46% 15.46% 11.68% 14% 12.30% 11.98%

26.Q. The minimum possible percentage increase in the totalnumber of vehicles in the state D from 2006-07 is

1. 10.58% 2. 11.80 % 3. 12.55% 4. 12.96% 5. 13.76%


10/15

Slide 28 Overall Percentage Additional Information: The overall % increase in the total number of

vehiclesin statesA, B, C, D, Eand F from 2006 to 200 7 is 13.4%, 12.8%,11%,12.6%,13.3% and 15.4% respectively.

Type of vehicles State(Percentage increase from 2006-07)


Three-wheelers 14.32% 9.2% 9.96% 12.6% 11.46% 16.66%

PassengerVehicles

10.86% 12.6% 12.44% 10.1% 16.66% 13.4%

Commercial

Vehicles11.46% 15.46% 11.68% 14% 12.30% 11.98%

3. The approximate % share of the two-wheelers in state A in 2006 isat most

1. 29% 2. 32% 3. 36% 4. 38% 5. 42%





Three-wheelers 14.32% 9.2% 9.96% 12.6% 11.46% 16.66%

Passenger

Vehicles10.86% 12.6% 12.44% 10.1% 16.66% 13.4%

Commercial

Vehicles11.46% 15.46% 11.68% 14% 12.30% 11.98%

5. The approximate % share of passenger vehicles and commercialvehicles put together in state C in 2006 is at least

1. 33.33% 2. 38.5% 3. 44% 4. 50% 5. 54%





Three-wheelers 14.32% 9.2% 9.96% 12.6% 11.46% 16.66%

Passenger

Vehicles10.86% 12.6% 12.44% 10.1% 16.66% 13.4%

Commercial

Vehicles11.46% 15.46% 11.68% 14% 12.30% 11.98%

3. The approximate % share of Two-wheelers and Three-wheelersvehicles put together in state D in 2006 is at most

1. 30.66% 2. 42.33% 3. 35.33% 4. 47.66% 5. 51.33%


11/15

Slide 31Weighted Average

Directions: Answer t he questionson the basisof informationsgiven below.

Mr. Anand decided to invest a part of his money in the stockmarket. He invested in five companies A,B,C,D and E. Each of the five companies belongs to one sector among Pharma, IT,Real Estate, Infrastructure and Power. According to his broker the returns expected fromA, B, C, D and Ewere 20%, 10%,30%, 25% and 40% respectively. He invested Rs2 Lakh, Rs6 Lakh, Rs10 Lakh, Rs 8 Lakh and Rs4 Lakh in A,B,C,D and E

respectively At the end of one year, the returnsfromexactly one company,

which belong to either Pharma or ITSector were twice of thatexpected.

Slide 32Weighted Average

Contd.

Also among the companies belonging to the other three sectors, one gave half the expected returnanother gave -20%. It is also known that two of thefive companies gave exactly the same return asexpected.

Q1 Find the maximum % return.Q2 Find the minimum % return.Q3. If the value of the returns earned by Anand from

two of the five companies are the same. Find themaximum % return.

Slide 33D.I Made Easy-2

Alligation tool.

Weighted Mean of two quantities Vs Alligation.

Alligation when we are involved with theweighted mean of three quantities.


12/15

Slide 34 Alligation based problems.

Direction: Answer the question on the basisof information givenbelow.

Population survey result of the district XYZ.Male literacy rate: 39.73%Female literacy rate : 43.73%

Overall literacy rate : 41.71%.Q. Find the female population per thousand

male population.


Direction: Answer the questions on the basis of information given below.

Company XYZ Ltd diversified his business in three sectors. The %prof it ear n by the company in these sector is given below.

Sectors % ReturnPower 10Infrastructure 12Software 14


Contd.

The overall % return combining all three sector is12.5%.

1.Q Find the maximum % share of theexpenditure involved in Power Sector.

2.Q Find the maximum % share of theexpenditure involved in Infrastructure Sector.


13/15

Slide 37 Alligation Based Problems

Direction: Answer the questions on the basis of information given below.

Class Average scoreof boys who

Average Scoreof girls who

Average Score of students who

OverallAverageScoreF ai led Pa ss ed Fa il ed Pa sse d Fa il ed P as se d

Xth 37.3 65.7 43.7 74.8 39.7 69.6 52.7

Q1. Find the ratio of the number of gi rls who passed the examto the number of boys who failed the exam.

Q2. Find the minimumnumber of studentsappeared in theexamination.


Direction: Answer the question on the basis of information given below.

The table gives the breakup of percentage of vitamins A, B, Cand D contained in four vitamin drink 1,2,3 and 4.

Drink Vitamin A Vitamin B Vitamin C Vitamin D Cost/ Lit

1 20 30 10 40 1002 10 40 30 20 2503 15 25 35 25 2004 40 15 35 10 150

Note: two or more drinks can be mixed in any ratio toproduce a drink containing the Vitamin in the requiredratio.Q1 What is the least cost/lit of a drink which contain atleast 25% of Vitamin A.





1 20 30 10 40 1002 10 40 30 20 2503 15 25 35 25 2004 40 15 35 10 150

Note: two or more drinks can be mixed in any ratio to produce a drinkcontaining the Vitamin in the required ratio .Q2.If a drink which contain at least 20% of each of vitamins A, B, C and D is to be prepared, then what wouldbe least cost/lit incurred.


14/15





1 20 30 10 40 1002 10 40 30 20 250

3 15 25 35 25 2004 40 15 35 10 150

Note: two or more drinks can be mixed in any ratio to produce a drinkcontaining the Vitamin in the required ratio.Q3 How many different combinations of two drinks wouldyield a drink having at least 25% of Vitamin D.





1 20 30 10 40 1002 10 40 30 20 2503 15 25 35 25 2004 40 15 35 10 150

Note: two or more drinks can be mixed in any ratio to produce a drinkcontaining the Vitamin in the required ratio.Q4.If a drink which contain 25% of Vitamin C is to beprepared , then the ratio in which drink 1 and 4 have to bemixed is.?.





1 20 30 10 40 1002 10 40 30 20 2503 15 25 35 25 2004 40 15 35 10 150

Note: two or more drinks can be mixed in any ratio to produce a drinkcontaining the Vitamin in the required ratio.Q5. If a drink which contain 25% of Vitamin C is to beprepared , then the ratio in which drink 1 and 4 have to bemixed is.?


15/15

Slide 43 Alligation based problems

The citizens of the Kya-Kya Islandhave to pay income tax as per thefollowing tax slabs

IncomeSlabs

Range of Income Total Tax Incident

Sl ab 1 1 2, 00 0< I ncome P 10% of Income above 12,000

Slab 2 P< Income Q 10% of 12,000+ 20% of Income aboveP

Sl ab 3 Q< Income 10% of (P-12000)+ 20% of (Q-P)+ 40%of income above Q

Slide 44 Alligation based problems

A, 10

B, 16.66

C, 27.34

D, 46

A, 1.5 B, 6.5

C, 22.5

D, 69.5

%Share of Income %Share of Tax Paid

1. Find the value of P

2. Find the value of Q.

3. What was the income of D?

4. What was the amount of Tax paid by C?

Slide 45

Thanks!!!

DI Made Easy

Documents

Transcript of DI Made Easy