Applied Maths Project

THE SHISHUKUNJ INTERNATIONAL SCHOOL
INTERNAL ASSESSMENT OF APPLIED MATHEMATICS TERM 1

SESSION 2021-22
ULTRATECH CEMENT LIMITED
NAME : Darsh Kansal
CLASS :12 B
ULTRA TECH CEMENT
Year of Founding- 1983
Sector- Building Materials and Construction
Headquarters- Mumbai
CEO- Mr. Raj Narayanan
Ultra Tech Limited, formerly known as Birla White, is the cement

flagship company of the Aditya Birla Group. A USD 6 billion building
solutions powerhouse, UltraTech is the largest manufacturer of grey
cement, ready mix concrete (RMC) and white cement in India.
UltraTech has a consolidated capacity of 116.8 million tonnes per
annum (MTPA) of grey cement. UltraTech has 22 integrated
manufacturing units, 27 grinding units, one clinkerisation unit and 7
bulk packaging terminals. UltraTech has a network of over one lakh
channel partners across the country and has a market reach of more
than 80% across India.
UltraTech pioneered the UltraTech Building Solutions (UBS) concept
to provide individual home builders with a one-stop-shop solution for
building their homes. Today, UBS is the largest single brand retail
chain with over 2500 stores across India.
UltraTech is a founding member of Global Cement and Concrete
Association (GCCA). It is a signatory to the GCCA Climate Ambition
2050, a sectorial aspiration to deliver carbon neutral concrete by 2050.
As part of its CSR, UltraTech reaches out to nearly 2.1 million
beneficiaries in over 500 villages across India covering areas of
education, healthcare, sustainable livelihoods, community
infrastructure and social causes
Aspect 1
Market Share in India
Cement Company Market 2020
Ultra tech
Ambuja Cement
ACC
Shree Cement Limited
Dalmia Bharat
Birla Corporation Limited
India Cement Limited
Ramco Cement Limited
Others
Company Name Market Share (%)

Ultra Tech 31
Ambuja Cement 21
ACC 12
Shree Cement Limited 10
Dalmia Bharat 8
Birla Corporation Limited 5
India Cement Limited 5
Ramco Cement Limited 4
Others 4
Aspect 2
Production of Grey Cement 2016-17 to 2020-21
2020-21
2019-20
2018-19 Cement
Clinker
2017-18
2016-17
0 10 20 30 40 50 60 70 80 90
Product Year Quantity(in MMT)

Clinker 2016-17 39.80
2017-18 48.11
2018-19 63.33
2019-20 61.58
2020-21 61.08
Cement 2016-17 51.00
2017-18 60.79
2018-19 81.25
2019-20 80.00
2020-21 82.72
Aspect 3
Profit before Tax (EBITDA)
Profit
14000
12000
10000
8000 Profit
6000
4000
2000
0
2016-17 2017-18 2018-19 2019-20 2020-21
Profit as % of COGS
30
25
20
Profit%
15
10
0
2016-17 2017-18 2018-19 2019-20 2020-21
Figures in Rs. Cr
Year Profit COGS Profit %

=(Profit*100)/COGS
2016-17 5861 29305 20
2017-18 6734 33670 21
2018-19 7811 39055 19
2019-20 9898 49490 23
2020-21 12302 61510 28
COGS- Cost of Goods Sold

CAGR- CAGR is the steady annual growth rate over multiple years. It
is used to calculate average rate of return when growth happens in
uneven manner temporally speaking
Present Value (P.V.) - 5861
Future Value (F.V.) - 12302
N= 4 years
CAGR= {(F.V. /P.V.)^ (1/4)-1}*100
= 0.203*100
= 20.3%
Thus the Profit before tax has shown Compound Annual Growth Rate
of approximately 20%.
Aspect 4
Net Revenue of firm
Net Revenue
2020-21
2019-20
Net Revenue
2018-19
2017-18
2016-17
0 2000 4000 6000 8000 10000 12000 14000
Figures in Rs. Crore
Year Net Revenue YoY Growth

2016-17 28646
2017-18 31872 11.26%
2018-19 41609 30.55%
2019-20 42430 1.97%
2020-21 44726 5.41%
Formula – YoY growth =(Growth/Previous year revenue)*100
CAGR
CAGR is the steady annual growth rate over multiple years. It is used
to calculate average rate of return when growth happens in uneven
manner temporally speaking.
Present Value (P.V.) = 28646
Future Value (F.V.) = 44726
N = 4 years
CAGR = [(F.V. /P.V.)^ (1/n)-1]*100= (44726-28646) ^ (1/4)-1]*100

= .117*100
= 11.7%
Thus the Net Revenue shows a Compounded Annualised Growth

Rate of approximately 12%.
Aspect 5
Products and Price Range
Price in INR
Sale in MMT
Product Price 2016- Price 2020- Sale 2016- Sale 2020-
17(p0) 21 17 (in MMT) 21 (in MMT)
(p1) (q0) (q1)
Ordinary 240 295 300000 320000
Cement
Pozzolana 330 410 550000 600000
Portland
Cement
White 200 225 400000 500000
Cement
Ready Mix 650 710 700000 800000
Concrete
Simple 117.22
Average
Method
Laspeyre’s 114.26
IN
Pasche’s IN 114.09
Fiscer’s IN 114.17
Index Number- Index Numbers are specialized average used to

measure the change in level of activity or item with respect to location
time or some other characteristic.
Formula: Simple Aggregative =∑(p1/p0*100)/N
Laspeyre’s Index = (∑p1q0/∑p0q0)*100
Paasche’s Index = (∑p1q1/∑p0q1)*100
Fischer’s Index =√[(∑p1q0/∑p0q0)*100]*[(∑p1q1/∑p0q1)*100]
Conclusion
Ultra Tech is a well reputed and successful company that specializes in
range of building materials and has achieved constant growth due to sound
fundamentals and brand name. I enjoyed working on this project as it
allowed me to know more about Ultra Tech company as well as the broader
cement industry. I am grateful to have an opportunity to research for this
wonderful project.
Bibliography
www.statista.com
www.ultratechcement.com
www.investopedia.com
www.indiamart.com
www.tradeindia.com

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THE SHISHUKUNJ INTERNATIONAL SCHOOL

INTERNAL ASSESSMENT OF APPLIED MATHEMATICS TERM 1

ULTRATECH CEMENT LIMITED

NAME : Darsh Kansal

Ultra Tech Limited, formerly known as Birla White, is the cement

Cement Company Market 2020

Company Name Market Share (%)

Product Year Quantity(in MMT)

Year Profit COGS Profit %

COGS- Cost of Goods Sold

0 2000 4000 6000 8000 10000 12000 14000

Figures in Rs. Crore

Year Net Revenue YoY Growth

Formula – YoY growth =(Growth/Previous year revenue)*100

CAGR = [(F.V. /P.V.)^ (1/n)-1]100= (44726-28646) ^ (1/4)-1]100

Thus the Net Revenue shows a Compounded Annualised Growth

Index Number- Index Numbers are specialized average used to

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