1. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Business Maths
AFTERSCHO☺OL –
DEVELOPING CHANGE MAKERS
CENTRE FOR SOCIAL ENTREPRENEURSHIP
PGPSE PROGRAMME –
World’ Most Comprehensive programme in social
entrepreneurship & spiritual entrepreneurship
OPEN FOR ALL FREE FOR ALL

2. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Business Maths
Dr. T.K. Jain.
AFTERSCHO☺OL
Centre for social entrepreneurship
Bikaner
M: 9414430763
tkjainbkn@yahoo.co.in
www.afterschool.tk
www.afterschoool.tk

3. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
X,Y,Z are in GP and X^a, Y^b and
Z^c are equal, what is 1/a, 1/b and
1/c?
 Let us assume that X,Y and Z are 2,4,8.
 Let us assume X^a= Y^b= Z^c =64
 Thus a= 6, b = 3 and c = 2.
 Let us put them as 1/6, 1/3, ½.
 Their values are : .1666, .3333 and .5,
thus this series in AP (there is fixed gap
between two terms).

4. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
What is the sum of 1/sqrt(3), 1,
3/sqrt(3) . . .for 10 terms will be?
 This is GP, as we find that there is a
fixed ratio of sqrt(3) between any two
terms.
 Sum of GP = A(R^n-1) / (r-1)
 A =1/sqrt(3), R = sqrt(3)
 1/(sqrt(3)) (sqrt(3)^10 -1)/(sqrt(3)-1)
 =.57735(243-1)/.73205
 =190.85 answer.

5. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
If A is AM and G is GM of two
positive unequal numbers, which is
more?
 AM is always more than GM in case of
positive numbers. Thus A>G answer.

6. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
What is the sum of 1.03, 1.03^2,
1.03^3 … . . .series for 10 terms?
 This is GP.
 A = 1.03 and R = 1.03
 Sum of GP = A(R^n-1) / (r-1)
 1.03(1.03^10 -1)/(1.03-1)
 =1.03(.343916)/.03
 =11.80778

7. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
A person pays Rs. 975 by monthly
instalments each less then the
former by Rs. 5. The first instalment
is Rs. 100. the by which the entire
amount wil be paid is ?
 A = 100 D =- 5. Sum of AP=n/2(2a+(n-1)d)
 975=n/2(200+(n-1)-5)
 1950=n(200-5n+5)
 1950=205n-5n^2 or 5n^2-205n+1950=0
 N^2-41n+390=0
 N^2-26n-15n+390 = 0
 N(N-26) -15(N-26)=0 OR n = 15 or 26.
(ans=15)

8. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
At 10% C.I., a sum of money
becomes 8650 after 5 years. The
initial sum is ?
 A(1+I)^n = 8650
 A= first instalment, I = rate of interest
 A(1.1)^5 = 8650
 1.61051A = 8650
 A=8650/1.61051
 =5371 answer.

9. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Population of one country is 55 crore
now, how much will be if it grows
@2% per annum in 2018?
 55*(1.02)^10
 =67.04 crores.

10. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
What is the sum of squares of
first 10 natural numbers?
 n/6 ((n+1)(2n+1)
 =10/6(11)(21)
 =385 answer

11. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
What is the sum of cubes of first
10 natural numbers?
 (n/2 (n+1))^2
 =(5*(11))^2
 =3025 ANSWER.

12. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
FIND THE NUMBER WHICH WHEN
ADDED TO SUM OF ANY NUMBER OF
TERMS GIVES YOU A PERFECT
SQUARE IN THE SERIES 3,5,7,9. . . ?
 1 ANSWER.

13. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Who are our supporters?
 Afterschoolians, our past beneficiaries,
entrepreneurs and social entrepreneurs
are supporting us.
 You can also support us – not
necessarily by money – but by being
promotor of our concept and our ideas.

14. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
About AFTERSCHOOOL PGPSE – the best
programme for developing great entrepreneurs
 Most flexible, adaptive but rigorous programme
 Available in distance learning mode
 Case study focused- latest cases
 Industry oriented practical curriculum
 Designed to make you entrepreneurs – not just
an employee
 Option to take up part time job – so earn while
you learn
 The only absolutely free course on internet

15. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Workshops from
AFTERSCHOOOL
 IIF, Delhi
 CIPS, Jaipur
 ICSI Hyderabad Branch
 Gyan Vihar, Jaipur
 Apex Institute of Management, Jaipur
 Aravali Institute of Management, Jodhpur
 Xavier Institute of Management,
Bhubaneshwar
 Pacific Institute, Udaipur
 Engineering College, Hyderabad

16. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Flexible Specialisations:
 Spiritualising business and society
 Rural development and transformation
 HRD and Education, Social Development
 NGO and voluntary work
 Investment analysis,microfinance and inclusion
 Retail sector, BPO, KPO
 Accounting & Information system (with CA / CS /CMA)
 Hospital management and Health care
 Hospitality sector and culture and heritage
 Other sectors of high growth, high technology and social
relevance

17. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Salient features:
 The only programme of its kind (in the whole world)
 No publicity and low profile course
 For those who want to achieve success in life – not just a
degree
 Indepth knowledge and expertise
 Professional approac: World class approach
 Strong intellectual and business capabilities
 Flexible – you may stay for a month and continue the rest of
the education by distance mode. / you may attend weekend
classes
 Scholarships for those from poor economic background
 Latest and constantly changing curriculum – keeping pace
with the time
 Placement for those who are interested
 Admissions open throughout the year
 Latest and most advanced technologies, books and study
material

18. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Components
 Pedagogy curriculum and approach based on IIM Ahmedabad and ISB
Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad)
 Meditation, spiritualisation, and self development
 Essential softwares for business
 Business plan, Research projects
 Participation in conferences / seminars
 Workshops on leadership, team building etc.
 Written submissions of research projects/articles / papers
 Interview of entrepreneurs, writing biographies of entrepreneurs
 Editing of journals / newsletters
 Consultancy / research projects
 Assignments, communication skill workshops
 Participation in conferences and seminars
 Group discussions, mock interviews, self development diaryng
 Mind Power Training & writing workshop (by Dr. T.K.Jain)

19. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Pedagogy
 Case analysis,
 Articles from Harvard Business Review
 Quiz, seminars, workshops, games,
 Visits to entrepreneurs and industrial visits
 Presentations, Latest audio-visuals
 Group discussions and group projects
 Periodic self assessment
 Mentoring and counselling
 Study exchange programme (with institutions out of India)
 Rural development / Social welfare projects

20. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Branches
 AFTERSCHO☺OL will shortly open its
branches in important cities in India
including Delhi, Kota, Mumbai, Gurgaon
and other important cities.
Afterschooolians will be responsible for
managing and developing these
branches – and for promoting social
entrepreneurs.

21. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Case Studies
 We want to write case studies on social
entrepreneurs, first generation
entrepreneurs, ethical entrepreneurs.
Please help us in this process. Help us
to be in touch with entrepreneurs, so that
we may develop entrepreneurs.

22. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
Basic values at afterschoool
 Share to learn more
 Interact to develop yourself
 Fear is your worst enemy
 Make mistakes to learn
 Study & discuss in a group
 Criticism is the healthy route to mutual support
and help
 Ask fundamental questions : why, when, how
& where?
 Embrace change – and compete with yourself
only

23. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICI
www.afterschoool.tk
social entrepreneurship for better
society