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www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
QUANTITATIVE APTITUDE & MATHEMATICS
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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
QUANTITATIVE APTITUDE & MATHEMATICS
Dr. T.K. Jain.
AFTERSCHO☺OLCentre for social entrepreneurship
Bikaner M: 9414430763tkjainbkn@yahoo.co.in
www.afterschool.tk, www.afterschoool.tk
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
We divided Rs. 5000 among A & B. 1/3 of what A got is 2/3 of 4 times
of what B got. How much did A & B got?
• Let us assume that A got 3X. • Thus 1/3 of A is X. B got X *3/2*1/4• 3X + 3/8X = 5000• 27/8 X = 5000• X = 5000*8/27 = 1481 A = 3*1481 = 4444• A = 4444. B got 556 Answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A’s Capital is 5 times half of the capital of B. 2/3rd of B’s capital is 3 times half the capital of C. What is the ratio of the capital of A,B,C?
• Let us start from C. Let us assume that C’s capital is 8. Half of C = 4, multiply by (go from last conditions first) =4*3 = 12. B = 3/2 *12 = 18. thus B is 18.
• Let us do half of B = 9. Now multiply 9 by 5. Thus ratio of A,B,C is 45:18:8 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If 6A = 5B = 4 C, then what is the ratio of A:B:C?
• A = 5*4, • B = 6*4• C = 6*5• Thus A:B:C = 20:24:30 or 10:12:15
answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
On 1 April, A and B start a business with capital in the ratio of 8: 9. A
doubled his capital and B tripled his capital after 1 month. A then
withdrew 3/16th of his capital after 3 months from that time. B withdrew 25/27th of his capital just one month before the close of accounting year. How will they share their profit for
the financial year?
•
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution :
• Assume that A gave Rs. 8. *1 = 8 (for first month). 16 *3 = 48 plus 13*8= 104
• Assume B starts with 9, so 9*1 = 9 • Then 27*10 = 270 plus 2*1 = 2• Thus A = 8+48+104 =160• B = 9+270+2 = 281 • Profit sharing ratio is thus ratio is 160 : 281
answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A seller marks 10% above the cost as selling price. He offered 10% discount to a customer. Did he
break even or had profit / loss in this transaction?
• One % loss in any such situation.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A person claims that he sells at cost. He defrauds 10% in purchase and 10% in selling. Does he earn / loose something – if Yes by what
%. • 10 + 10 + (10*10/100) = 21 % answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
¾ th of a pond is filled by a pipe in 12 hours. How much more time will
be required to fill the remaining portion?
• Only 3 portions have been filled so far. Thus one portion takes 12/3 = 4 hours. Thus the last forth portion will take another 4 hours. Answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
5 workers can complete a work working 8 hours a day in 3 weeks (6 day week). Now after 6th pay commission, working 9 hours 5
days a week, how much time will they take?
• 18*8/9 = 16 days. • Thus they will take 3 week and 1 day.
Answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
At 4/5th of his speed a person completes a work in 8 days. If he is supplemented with more person of
equal capacity and both work at 125% of their speed, when will the
work be finished? • His ususal time is : 1/8 *5/4 = 5/32 • Or 6.4 days. 5/32*125/100 =625/3200
multiply it by 2 (for 2 persons) 625/1600• 1600/625 = 2.56 days only answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
ABOUT AFTERSCHO☺OL
Afterschoool conducts three year integrated PGPSE (after class 12th along with IAS / CA / CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM. This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Why such a programme?
• To promote people to take up entrepreneurship and help develop the society
• To enable people to take up franchising and other such options to start a business / social development project
• To enable people to take up social development as their mission
• To enable people to promote spirituality and positive thinking in the world
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
About AFTERSCHO☺OL 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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Workshops from AFTERSCHO☺OL
• 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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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• 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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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)
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Basic values at AFTERSCHO☺OL
• 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
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk social entrepreneurship for better
society
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