PROFIT AND LOSS math capsule

Did you ever wondered how a shopkeeper is going to maintain his orders?
or how a lady is going to organise her monthly budget?
they all here and there use concepts of profit and loss , either knowingly or unknowingly,
So lets dive into these,


COST PRICE :

The price, at which an article is bought is called its cost price. All the overhead in the transaction like fright, damage , etc., are added to the cost price. Profit and loss percentage is always calculated as the percentage of CP unless otherwise specified.

SELLING PRICE :

The price at which an article is sold is called its selling price. There is a gain in the transaction, if SP>CP, where gain = SP-CP .

There is a loss in the transaction , if CP>SP, where, loss= CP-SP

LIST PRICE / MARKED PRICE :

The price of article excluding tax is known as marked price. Sometimes the shopkeeper increases or decreases the cost price ,then this price is the list price of the articles.

FORMULAS YOU NEED TO REMEMBER

  1. PROFIT = SELLING PRICE - COST PRICE 
  2. LOSS = COST PRICE - SELLING PRICE 
  3. PROFIT AND LOSS IS ALWAYS CALCULATED ON COST PRICE
  4. PROFIT % = (PROFIT / CP) * 100%
  5. LOSS % = (LOSS / CP) * 100%
Loving the article?
Thanks...

IMPORTANT RULES 

  • If there is a profit of r% , then SP = (100 + r)*CP / 100  and  CP = (100*SP) / (100 + r) 
  • If there is a loss of r% , then   SP = (100 - r)*CP / 100   and  CP = (100*SP) / (100 - r)
  • When there are two successive profits of x% and y% then the resultant profit percent is given by  (x + y + (x*y / 100) ) %   
  • When there are two successive losses of x% and y% then the net loss per cent is given by         (-x -y + (x*y / 100) ) % 
  • Where there is a profit of x% and loss of y% then the resultant profit or loss per cent is given by    (x - y - (x*y / 100) )%
  • If the cost of both the item be S. One is sold at a loss of r % and the other at a gain of R% , then   Cost price of item sold at loss = (S* (100 + R)) / ((100 - r)+(100 + R))                                               Cost price of item sold at gain = (S* (100 - r)) / ((100 - r) + (100 + R))
  • If 'a' part is sold at l% profit, 'b' part is sold at m% profit and 'c' part is sold at n% profit. If rs 'R' is earned as overall profit , then the value of total consignment   = (R * 100) / (al + bm + cn) 
  • If a certain number of articles are purchased at 'r' a rupee and the same number at 'R' a rupee . He mixes them together and sells them at 'M' a rupee. Then, gain per cent or loss per cent               =[(2Rr / M(r+R)) -1]* 100 %                                                                                                                   According as the sign +ve or -ve ,                                                                                                   If M = (r+R)/2 there is always loss.                                                                                                       If r=R=M there is neither gain nor loss
  • If cost price of 'n' articles is equal to the selling price of 'm' articles, then                                     Profit Percentage = ((n - m) / m) * 100 % (n>m)                                                                                  and Loss Percentage =((m - n) /m )* 100% (m>n)

SELLING PRICE = MARKED PRICE - DISCOUNT 

  • If discount allowed is r%, then  selling price = (100 - r) * marked price / 100 
  • If a shopkeeper marks his items at x% above the cost price and allows customers a discount of y% for cash, then there is (x - y - (xy / 100))% profit or loss according to positive or negative sign , respectively. 
  • Single discount equivalent to three successive discounts r1%, r2% and r3%                                        = [1 - (1 - r1/100)*(1 - r2/100)*(1 - r3/100)] * 100%
  • If marked price price of an item is rs x and the successive discount rates are r1% , r2% , r3% and so on , then selling price of item                                                                                                     SP = x * (1 - r1/100 ) * (1 - r2/100 ) * (1 - r3/100)

kindly attempt the exercises too :)



PROFIT AND LOSS 1
PROFIT AND LOSS EXERCISE 1

PROFIT AND LOSS 2
PROFIT AND LOSS EXERCISE 2

PROFIT AND LOSS 3
PROFIT AND LOSS EXERCISE 3

PROFIT AND LOSS 4
HINTS AND SOLUTIONS 1 PROFIT AND LOSS 

PROFIT AND LOSS 5
HINTS AND SOLUTIONS 2 PROFIT AND LOSS

PROFIT AND LOSS 6
HINTS AND SOLUTIONS 3 PROFIT AND LOSS

PROFIT AND LOSS 7
HINTS AND SOLUTIONS 4 PROFIT AND LOSS 
thanks for reading this at www.mathcapsule.com 

Comments

Post a Comment

Popular posts from this blog

AREA AND PERIMETER OF PLANE FIGURES math capsule

Image
Today we are going to learn about the A rea and Perimeter of Plane Figures . These include various figures like, square , rectangle , quadrilateral , parallelogram , rhombus , trapezium , right angled triangle , isosceles triangle , scalene triangle, equilateral triangle , circle , circular ring , semi circle , quadrant of circle , area of sector , regular polygon , etc. All these are important plane figures and today we are going to study about their area and perimeter and how we can compute them easily . Tip : get a pen and paper and write each formula for five to six times so that you may easily remember the formulae of  area and perimeter of plane figures . So, lets begin ,
Read more

BEST BOOKS FOR MATHEMATICS math capsule

Image
Hi in this blog post i am going to tell you , What are the best books for you to improve your mathematics, There are various people and they have different needs of what they want to read about , actually there needs depend upon may be what they are presently pursuing or what they want others to read. Here is my list of recommended best books for you to improve your mathematics , so that you may learn better . I have divided the whole things into categories so that it may get easier for you to get an idea of what book you want .
Read more

RD Sharma - The Big B Of Maths

Image
R D Sharma is not the quite author you'd come across at lit fests. however his bestselling books have helped several CBSE students lose their dread of maths. Sunday Times profiles the tutor turned web star He dreams of algorithms that might offer the general public nightmares. And, spends each waking hour thinking of how to clarify ideas like 'series answer of linear differential equations'. Meet Dr Ravi Dutt Sharma — math teacher and author of twenty five reference books — whose name evokes the maximum amount awe because the subject he teaches. And tho' students have used his thick tomes for the last thirty one years to ace the terrible maths examination, it's solely recently that a spoof video turned the tutor into a YouTube star.
Read more

HCF AND LCM OF POLYNOMIALS math capsule

Image
I hate long articles or blog posts , don't you ? That's why i write mine really very short, descriptive and covering all the concepts in one go . This post is regarding the hcf and lcm of polynomials and monomials. If you want to learn about the hcf and lcm of numbers then click this yellow link below . It will take you to another article . Sorry ;)   HCF and LCM   HCF OF POLYNOMIALS                                      The highest common factor of two or more algebraic expressions is the factor of the highest degree which divides each of the expressions without a remainder. It is denoted by HCF or GCD. It is a convention to take HCF in such a way that the coefficient of the highest power of the variable is positive.
Read more

SIMPLE INTEREST (SI) AND COMPOUND INTEREST (CI) math capsule

Image
How much is my bank going to pay me for depositing a certain amount of money into my bank account? Has this question came into your mind ? If yes, then you are going to master all ways how you can calculate this in this blog post on SI and CI. SIMPLE INTEREST : When we borrow some money , then customarily the money lender or the person who is giving us the money uses to charge some extra amount of money in lieu of the money that he has lent us.This extra money by the money lender is called Interest.
Read more

LOGARITHM math capsule

Image
log ! log ! log! You know this was the most scary term in mathematics for me when i was in high school! But when i studied it , it became the most easy concept to learn and i used to do the problems in seconds . And sometimes that too without using pen and paper. LOGARITHM If 'a' is a positive real number other than 1 and 'b' is a rational number such that aⁿ= B then we say that logarithm of B to base 'a' is n or 'b' is the logarithm of N to base 'a', written as  logₐ B = n So, aⁿ = B <=> log ₐ B = n e.g. 7º = 1 <=> log ₇ 1 = 0
Read more

Internet Of Things | Explained | Meaning | Real life applications

Image
The "Internet of things" (IoT) is changing into associate progressively growing topic of spoken communication each within the geographic point and out of doors of it. it is a conception that not solely has the potential to impact however we have a tendency to live however conjointly however we have a tendency to work. however what precisely is that the "Internet of things" and what impact is it aiming to wear you, if any? There ar lots of complexities round the "Internet of things" however i would like to stay to the fundamentals. several technical and policy-related conversations ar being had however many folks ar still simply attempting to know the inspiration of what the euphemism these conversations ar concerning. Let's begin with understanding a couple of things. Broadband web is become a lot of wide obtainable, the value of connecting is decreasing, a lot of devices ar being created with Wi-Fi capabilities and sensors engineered into them, ...
Read more

HOW I GOT ADSENSE APPROVED IN JUST 11 DAYS !

Image
This post is going to be deviating you from the topics of mathematics, but i am including this as because i got a lot of requests of how to do this , HOW CAN ONE APPROVE HIS / HER ADSENSE ACCOUNT IN JUST A FEW DAYS? This question always trouble a lot of persons , when they seek Adsense approval for their new blogs. They usually search on the internet on how to do it in only a few days. And most of the times they are left empty handed. So, in this post i am going to tell you guys how i got my Google Adsense in just 11 days from the very start of my blog . Tips: Do follow what i am going to tell you guys in this blog post , really this will help you in a great way . I am going to tell you the secrets that i did with my blog so that you may too get a Google Adsense account.
Read more

Search Engine Optimisation | meaning | tutorial | techniques | tools | THE COMPLETE GUIDE

Image
I. Introduction – what's SEO Whenever you enter a question in an exceedingly program and hit 'enter' you get an inventory of net results that contain that question term. Users usually tend to go to websites that area unit at the highest of this list as they understand those to be a lot of relevant to the question. If you've got ever questioned why a number of these netsites rank higher than the others then you need to understand that it's as a result of a robust web selling technique referred to as program improvement (SEO). SEO may be a technique that helps search engines notice and rank your website beyond the numerous different sites in response to a probe question. SEO therefore helps you get traffic from search engines. This SEO tutorial covers all the mandatory data you wish to understand concerning program improvement - what's it, however will it work and variations within the ranking criteria of major search engines. 1. However Search Engine...
Read more

SURFACE AREA AND VOLUME OF SOLIDS math capsule

Image
In this chapter we will study to find the surface area and volume of solid figure , like parallelepiped , cube, cuboid, cylinder , cone , frustum of cone , sphere and hemisphere and we will study to find the surface area and volume of combination of solid figures combination of two or more different or similar solid figures. SOLID FIGURES The objects which occupy space (i.e. they have three dimensions ) are called solids. The solid figures can be derived from the plane figures. e.g. In figure (i) , we have a paper cut in the form as shown. It is a plane figure. But when we fold the paper along the dotted lines, a box can be made as shown in figure (ii) , which occupies some part of the space. It has more than two dimensions and therefore it fulfils the criteria of being a solid figure.
Read more