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%.

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

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

**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 :-

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

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

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

**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 is

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 .

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

=> %loss = p^{2} /100

19.

**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/-