Short Tricks for Profit and Loss Maths

Short Tricks for Profit and Loss and Important question Profit and Loss

Marked Price Formula (MP)

Discount = Marked Price – Selling Price
And Discount Percentage = (Discount/Marked price) x 100


Profit and Loss Formulas

Profit or Gain = Selling price – Cost Price
Loss = Cost Price – Selling Price

Profit percentage = (Profit /Cost Price) x 100
Loss percentage = (Loss / Cost price) x 100


Short Tricks for Profit and Loss formulas

1. One can generate a profit only if Selling Price> Cost Price

2. One generates a loss when Selling Price < Cost Price.

3. Profit = Selling Price – Cost Price
%profit = {(Selling Price – Cost Price)/Cost Price} x 100

4. Loss = Cost Price – Selling Price
%Loss = {(Cost Price – Selling Price)/Cost Price} x 100

5. Sale price :- If there is a profit of P %,
Cost Price = C
Then SP = {(100+P)/100}xC

6. If there is a loss of L %,
Cost Price = C
Then
SP = {(100-L)/100}xC

7. Cost price :-
If there is a profit of P %,
Cost Price = C
Sale price= SP
Then C = {100/(100+p)} x SP
If there is a loss of L %,
Then
C = {100/(100-L)}xSP

8. A dishonest dealer claims to sell his goods at cost price ,but he uses a weight of lesser weight .Find his gain%.

Short Tricks for Profit and Loss
Short Tricks for Profit and Loss

9. A shopkeeper sells an item at a profit of x % and uses a weight which is y % less .find his total profit

Short Tricks for Profit and Loss
Short Tricks for Profit and Loss

10. When dealer sells goods at loss on cost price but uses less weight .

Short Tricks for Profit and Loss
Short Tricks for Profit and Loss

11. A dishonest dealer sells goods at x % loss on cost price but uses a gm instead of b gm . his profit or loss percent :-

Short Tricks for Profit and Loss
Short Tricks for Profit and Loss

Note :- profit or loss will be decided according to sign .if +ive it is profit ,if –ve it is loss .

12.  If the price of an item increases by r%  , then the reduction in consumption so that  expenditure remains the same  ,is

Short Tricks for Profit and Loss
Short Tricks for Profit and Loss

13. If the price of a commodity decreases by r% then increase in consumption , so as not to decrease expenditure on this item is

Short Tricks for Profit and Loss
Short Tricks for Profit and Loss

14. A reduction of x% in price enables a person to buy y kg more for Rs. A. Then the

Short Tricks for Profit and Loss
Short Tricks for Profit and Loss

15. When there are two successive profits of x% and y% then the net percentage profit =[x+y+xy/100]

When there is a profit of x% and loss of y% then net percentage profit or loss = [x – y – xy/100]

Note: If the final sign in the above expression is positive then there is net profit but if it is negative then there is net loss.

16. A sells goods to B at a profit of x% andB sells it to C at a profit of y%. If C pays RsP for it,then the cost price for A isProfit and Loss Formulas and Tricks 9

Note:- for loss replace plus sign with minus .

17. When each of the two things is sold at the same price,and a profit of p% is made on the first and a loss of L% is made on the second,then the percentage gain or loss is .

Short Tricks for Profit and Loss
Short Tricks for Profit and Loss

18. If profit percentage and loss percentage are equal, put P=L

=>   %loss = p2 /100

19.

Short Tricks for Profit and Loss
Short Tricks for Profit and Loss

Q. 1: Suppose a shopkeeper has bought 1 kg of apples for 100 rs. And sold it for Rs. 120 per kg. How much is the profit gained by him?

Solution:
Cost Price for apples is 100 rs.
Selling Price for apples is 120 rs.
Then profit gained by shopkeeper is ; P = SP – CP
P = 120 – 100 = Rs. 20/-


Q.2: For the above example calculate the percentage of the profit gained by the shopkeeper.

Solution:
We know, Profit percentage = (Profit /Cost Price) x 100
Therefore, Profit percentage = (20/100) x 100 = 20%.


Q.3: A man buys a fan for Rs. 1000 and sells it at a loss of 15%. What is the selling price of the fan?

Solution:
Cost Price of the fan is Rs.1000
Loss percentage is 15%
As we know, Loss percentage = (Loss/Cost Price) x 100
15 = (Loss/1000) x 100
Therefore, Loss = 150 rs.
As we know,
Loss = Cost Price – Selling Price
So, Selling Price = Cost Price – Loss
= 1000 – 150
Selling Price = R.850/-


Q.4: If a pen cost Rs.50 after 10% discount, then what is the actual price or marked price of the pen?

Solution:
MP x (100 – 10) /100 = 50
MP x (90/100) = 50
MP = (50 x 100)/90
MP = Rs. 55.55/-