The document discusses various real-life applications of mathematics across different domains like business, medicine, cooking, sports, architecture, and engineering. It provides examples of how mathematics is used in accounting, financial analysis, prescriptions, measuring blood pressure, recipe measurements, loan and stock calculations, sports scoring, breaking the Enigma code, and ensuring structural stability of buildings like the Eiffel tower. Mathematics is shown to be an essential tool applied in diverse fields.

2. “Applications of Business Mathematics
in Real Life”

3. Mathematics is the “father of all Sciences” and is defined as:
“The abstract science of number, quantity, and space, either as abstract
concepts ( pure mathematics), or as applied to other disciplines such as
physics and engineering ( applied mathematics)”
Business Mathematics:
• Business mathematics is used by commercial enterprises to record
and manage business operations.
• Commercial organizations use mathematics in accounting,
inventory management, marketing, sales forecasting, and financial
analysis

4.  Doctors use math when they write prescriptions.
 Medical professionals use math when drawing up statistical graphs
of epidemics or success rates of treatments.
 Math applies to x-rays.
 Doctors need to figure out how many milligrams of medication
each patient will need, depending on their weight. i.e
I kilogram = 1000 gram
I liter =1000 milliliter

5.  Doctors must also consider how long the medicine will stay in
the patient’s body.
 Knowledge of algebra to understand calculations of acid–base
status
 People on medication need to understand different dosages,
whether in grams or milliliters.
. Math is also involved in measuring blood pressure.

6.  Mathematics has an important role in the production
of products.
 Each and every shoe, shirt, sweater, etc have give
numbers, which represent size.
 In shaving machine, numbers are give to each size of
hair cut

7.  That ingredients have relationships to each other in a
recipe is an important concept in cooking.
 All recipes are written to serve a certain number of people or yield a
certain amount of food.
 Precision matters when it comes to adding and combining
ingredients
 Planning meals and making a grocery list demand basic math skills.

9.  It is a branch of mathematics concerning the study of structure, relation,
and quantity. For example
 Suppose , we are to appoint a person for some domestic
purpose .We give him two option for salary per month as :
(1)Rs. 25 daily
(2)Rs.5 for the first day and keep on increasing Rs. 2 to the
pervious days for the next day
Which option will be better for him ?
(2) option is better:
As in the (1) option he will get only25× 30 = Rs. 750
And in the (2) option he will get = 5 +7+9 +...+ upto 30 terms
= Rs. 1020. ( sum of 30 terms of A.P.)

10. Mathematics is used in marketing
 Marketing Research
 Evaluating the data
 Decision support systems
 Pricing strategy
 Promotion
 Advertising

11.  Market research analysts use math every day
as they perform the following tasks.
 Analyze statistical data on past sale to predict
future sales gather data on competitors and
analyze price, sale and procedure for collecting
the data.
 Evaluate product and consumer data and make
recommendation to the firm management or
client so that decisions can be make on
promotion distribution, design and pricing of
goods and services.

12. Discount : Reduction from the full amount of a price .
The following are the 4 types of discounts which we see are
1. Simple Discount. Offer a price reduction on a product by a percentage. For
example, buy a shirt and receive 25 % off the original price.
2. Minimum Purchase Discount. Offer a price reduction on a minimum quantity
purchase. For example, buy two shirts and receive 20 % off each shirt.
3. Buy N, Get one Free. Offer a free gift with a minimum quantity purchase. For
example, buy two shirts and receive a third shirt for free.
4. Paired Discount. Offer a price reduction on a product if another product is
purchased. For example, buy a shirt and receive Rs.10 off a pair of jeans.

13. Examples
:

14.  Banking is the business of managing money, and where money
is involved everything must be carefully assessed, valued and
measured.
 Bank is full of transactions. In turn the transaction is nothing
but mathematics
 Bank use math to balance accounts. Every credit and debit
must be entered and the accounts must be balanced at the end
of each business day
 Without the use of math, the banks would not be able to
determine overdrafts or overages.
 Loans involve complex mathematics.

15.  Interest is calculated and added to a person's account at regular
intervals, depending on what their account type dictates.
Simple interest= Principal Amount x interest rate x Years
 Banks are also involved in stocks and bonds. Bond calculation are
mathematical.
 Stock options are also quite mathematical.
Total share cost= Market Value + Brokerage Fees

16.  Mathematics is also used in sports.
 For example : Cricket, In it we count runs, we calculate how much
runs is needed in an over( run rate) so as to beat the opponent.
 Averages, Economy rate, Run rates graphs, graphs for comparison,
all require Mathematics.
 In other games such as Basketball, Bowling, Pool we need to know at
what angles must I launch my ball/stick so that it is achieved
correctly.
 A great snooker player always analyses the geometry before
striking.

17. For example an archery target consist of 5 concentric as shown.
In how many ways 5 scoring arrows exam 29 points?
To calculate it they use the following equation:
a + b + c + d + e = 5
let
a = the number of 9 points arrow
b = the number of 7 points arrow
c = the number of 5 points arrow
d = the number of 3 points arrow
e = the number of 1 point arrow
9a + 7b + 5c + 3d + 1e = 29

18. a(9) b(7) c(5) d(3) e (1)
3 0 0 0 2
2 0 2 0 1
2 1 0 1 1
1 2 1 0 1
1 2 0 2 0
1 1 2 1 0
1 0 4 0 0
0 4 0 0 1
0 3 1 1 0
0 2 3 0 0
There are 10 ways to attain score of 29 with five arrows.
This example shows that math's can be used in sports for calculating scores
and points.

19.  Alan Turing (1912-1954)
 Mathematician who
saved the world…..
 The man who broke
Enigma..

20. A German machine used in World War II to
encode and decode messages…
Germans used to send encoded messages about
attacks to their military through Enigma…
A puzzle of Alphabets..

22.  Number of possible settings:
159 ,000,000,000,000,000,000
(159 million million million)
 Only source of the German communication.
 New setting every day.
 About 4 men died every minute because of
Enigma

23.  A machine made by Alan Turing to break the
Enigma… (1939-1940)
 It was totally based on mathematical logics.
Alan Turing's own sketch of the logical principle of his Bombe.

25.  Shortened the war by 2 years...
 Saved over 14 Million lives…

26. His work inspired generations of research called
“Turing Machines”
Today we call them Computers…

27. SHAYAN WAZIR

29.  Welcome to Cube
Village, built by Dutch
architect Piet Blom. His
tilted, geometric
houses — built on top
of a pedestrian bridge
to mimic an abstract
forest.

30.  Pyramids were made
almost in 2560BC and
give a great view
about that times
architecture.
 Uses the Pythagorean
Theorem which can
be expressed as
a² + b² = c²

31.  The Parthenon has
been claimed to
follow the proportions
of the golden
rectangle.
Which is based on
1:1.618

32. When Gustave Eiffel was
making the Eiffel Tower,
he had to think about
wind resistance. He put a
curve on the outer edges
so the tower wouldn't fall.