Profit and Loss percentage

  Let us have a look at the price list of shopkeeper Raja. Raja sells Mango, Apple, Banana and Orange. When Raja sells mango, he makes a profit of Rs 2. When Raja sells apple, he again makes a profit of Rs 2. However, we cannot say he benefits equally by selling mango and apple. Similarly, when Raja sells Banana, he loses Rs 1. When he sells Orange, he again loses Rs 1. However, we cannot say he loses equally by selling Banana and Orange. To compare, we need to find the profit or loss percentage. (Note: Profit or loss percentage is always calculated based on Cost Price (C.P))

Now lets calculate the profit% which Raja make when he sells mango and apple For Mango, CP=10,P=2 , ∴ For Apple, CP=8,P=2 , ∴ So Raja gains more by selling apple than mango. Now lets calculate the loss% which Raja make when he sells banana and orange For banana, CP=3,L=1 , ∴ For orange, CP=5,L=1 , ∴ So Raja losses more by selling banana than orange.

Example1: Cost price= Rs 150 , Selling price = Rs 180 , Find the Profit/loss % Solution :- Given:- C.P = 150 , S.P = 180 To Find:- Profit/Loss % Since S.P> C.P there is profit Profit = S.P – C.P = 180 -150 =30

Example2: Cost price= Rs 180 , Selling price = Rs 140 , Find the Profit/loss % Solution :- Given:- C.P = 180 , S.P = 140 To Find:- Profit/Loss % Since C.P> S.P there is loss Profit = C.P – S.P = 180 -140 =40

Example3: Cost price= Rs 250 , Selling price = Rs 290 , Find the Profit/loss % Solution :- Given:- C.P = 250 , S.P = 290 To Find:- Profit/Loss % Since S.P> C.P there is profit Profit = S.P – C.P = 290 -250 =40

Example4: Cost price= Rs 250 , Selling price = Rs 200 , Find the Profit/loss % Solution :- Given:- C.P = 250 , S.P = 200 To Find:- Profit/Loss % Since C.P> S.P there is loss Profit = C.P – S.P = 250 -200 =40

Try these 1) Find the Profit/Loss % when Cost price =2500 and Selling price = 3000 Cost price = 3200 and Selling price = 2800