23 June Mathematics Ii

MATHEMATICS Dr. T.K. Jain. AFTERSCHOOOL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk www.afterschoool.tk

20% of a number is more than 10% of 650 by 40, what is the number?  Let

us assume the number to be X.  .2x – 65 = 40  .2X = 105  X = 105/.2  X = 525 answer.

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Sides of a triangle are in ratio of 1/3: ¼: 1/5, their perimeter is 94 CM, what is the smaller side?

Perimeter = sum of sides The let us take LCM of 3,4,5 = 60 Let us multiply the 3 ratios with 60 60*1/3 = 20, 60*1/4 = 15 and 60*1/5 = 12 We get new ratio: 20:15:12. Let us assume that the sides are 20x, 15x,12x. 20x+15x+12x = 94 47x =94, X = 2 Sides are : 40,30 & 24. The smaller side is 24 cm ans. www.afterschoool.tk

Ratio of 2 numbers is 3:4. their LCM is 180. what are the numbers?

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us assume the numbers to be 3x & 4x.  Their LCM is 12x.  Thus 12 X = 180  X = 180/12 = 15  Numbers are : 15*3 = 45 and 15*4 =60 ans. www.afterschoool.tk

I have 2 types of rice: one costing Rs. 15 per kg, other costing Rs. 40 per kg. how should I mix these that my cost is 25 per KG. MIXTURE

15

40

25

15

10

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ANSWER:  BOTH

THE RICE SHOULD BE MIXED IN THE RATIO OF 15:10 OR 3:2 ANSWER.

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In a container containing 80 liters of milk 8 liters of milk is taken out and replaced by water. This process is continued 4 times, what is the quantity of milk now?  80

* (1 – 8/80)^4  80*72/80*72/80*72/80*72/80 =52.5 approx.  Now 52.5 liters of milk is left out. www.afterschoool.tk

A person invests 10000 in 4 different schemes. In one scheme, he got 3% on 2000, in another, he got 3.5% on 4000, 5% on 2500. His average returns are 3.85%. What is the 4th scheme?  Total earnings of the person are : 385    

Total investment (in 3schemes) = 8500 The 4th scheme had Rs. 1500 invested. Returns : 60 + 140 + 125 = 325. Thus in 4th scheme he got 60 against 1500 www.afterschoool.tk or 4% return.

A mixture of 70 liters of milk and water contains 10% water. How much water should be added so that water is 12.5% of the mixture?  Now milk is 63 and water 7 liters. 

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Now milk is 63 and water 7 liters. Now we have to increase quantity of water to 12.5 or the quantity of milk will be 87.5%. In order to get the new quantity, let us multiply 63 (quantity of milk) with 100/87.5 63*100/87.5 = 72. (new total quantity) Thus 72-70= 2 liters of water is to be added. www.afterschoool.tk

A person earns 40%. What is the selling price to cost in %?  Let

us assume cost = 100  Profit = 40  Selling price = 140  Thus selling price is 140% of cost.

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Cost of an article is 40% of selling price. What percent of cost is selling price?  Let

us assume selling price = 100  Cost is 100*40/100 = 40  100/40 *100 = 250%  Thus selling price is 250% of cost.

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I earn 20% when I sell 20 blocks for Rs. 60. How much do I buy in Rs. 60? Let us assume cost = 100. Profit = 20  Selling price = 100+20 = 120.  Thus cost of 20 blocks is : 60 *100/120 = 50.  Cost of 20 blocks is Rs. 50 (2.5 Rupees per block).  Thus in Rs. 60 I buy 60/2.5 = 24 blocks. 

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I am authorised to add 30% in cost. I use defective weighing machine while selling. My weighing machine underweighs by 20%. I give 25% discount to customers. What is my profit in %?   

Let us assume that I am selling Rs. 1 per 1 Gram. When I sell 1000 grams, I am actually selling 800 grams. My cost is Rs. 800. My margin is : 30% (for 1000 grams) 300. My selling price is Rs. 1300. I give 25% discount – which is 1300*.75 = 975. thus I earn Rs. 175 at a costwww.afterschoool.tk of 800. My profit is 21.87%

A:B:C = 2:4:7 D:W:A: ½:3/5:3/4, What is ratio of C:D?  Convert

ratio of DWA = LCM of 5,4,2 is 20. Let us multiply 20 to all these numbers:  New ratio: 10:12: 15.  A is common between these 2 ratios.  Multiply ABC by 15 and and DWA by 2.  ABC = 30:60:105; DWA: 20:24:30.  Thus D:C = 20:105 or 4:21 answer.

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ABOUT AFTERSCHOOOL 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.

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Why such a programme? 

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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

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

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

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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 www.afterschoool.tk

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

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

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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)

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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

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Branches  AFTERSCHOOOL

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.

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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.

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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

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www.afterschoool.tk social entrepreneurship for better society

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