Profit / Loss % word problem
Recap on Profit and Loss Profit or Gain = Selling price – Cost price Loss = Cost price – Selling price
Application of Overhead Expenses Sometimes when an article is bought or sold, some additional expenses occur while buying or before selling it. These expenses have to be included in the cost price. These expenses are referred to as Overhead Expenses. These may include expenses like amount spent on repairs, labour charges, transportation, etc., Cost Price = Real Cost price + Overhead Expenses Example :- Anbarasan purchased a house for Rs 17,75,000 and spent Rs 1,25,000 on its interior decoration. Solution Given:- Real cost price= Rs 17,75,000 ; Interior decoration expense = Rs 1,25,000 To Find:- Total cost of the house Cost Price = Real Cost price + Overhead Expenses = 17,75,000 + 1,25,000 = 19,00,000 Ans:- Cost of the house = Rs 19,00,000
Given: cost price = Rs 12000, selling price = 15000 Example 1: A dealer bought a television set for Rs.12,000 and sold it for Rs.15,000. What is the profit or loss percentage? Solution Given: cost price = Rs 12000, selling price = 15000 To Find: profit or loss percentage % Since selling price > cost price there is profit Profit = selling price – cost price = 15000 – 12000 =3000 25 4 Profit%= 25 Ans: Profit percentage = 25
Example 2: Vinoth purchased a house for Rs 27, 50,000 Example 2: Vinoth purchased a house for Rs 27, 50,000. He spent Rs 2,50,000 on repairs and painting. If he sells the house for Rs 33,00,000 what is his profit or loss % ? Solution Given: Purchase price : Rs 27,50,000, Repair Cost: Rs 2,50,000 , Selling price(SP)= Rs 33,00,000 To Find:- Profit or loss % Cost price(CP)= Purchase price + Repair Cost =27,50,000 + 2,50,000 ∴Cost price(CP)= Rs 30,00,000 Since SP>CP there is profit, Profit=SP-CP= 30,00,000 - 33,00,000 = Rs 3,00,000
Ans: Profit percentage = 50 Example 3: A whole sale dealer bought 25 water bottles for Rs. 250. He sold each bottle for Rs.15. what is the profit or loss percentage. Solution Given: 25 water bottles costs Rs. 250, selling price of each bottle Rs 15 To Find: profit or loss percentage. Selling price of 1 bottle = 15 Selling price of 25 bottle = 25 x 15 = 375 Since selling price of 25 bottles > cost price of 25 bottles there is profit Profit = selling price – cost price = 375 - 250 =125 50 2 Profit%= 50 Ans: Profit percentage = 50
Example 4: A shop keeper bought 10 bananas for Rs 100 Example 4: A shop keeper bought 10 bananas for Rs 100. 2 bananas were rotten. He sold the remaining bananas at the rate of Rs 11 per banana. Find his gain or loss % Solution Given: Bananas purchased=10 bananas ,Cost price(CP)= Rs 100,Bananas rotten=2, Selling price per banana=Rs 11. To Find: gain or loss % Bananas left =total banana purchased – bananas rotten =10-2=8 Selling price(SP)=Bananas left * Selling price per banana =8*11=88 Since SP<CP there Loss, Loss=CP-SP=100-88=12
Try these 1. Mohan sold his old bike for Rs 24000.He has purchased it for Rs 36000 and spent Rs 4000 on repairs. Find profit/loss % A shop keeper purchased 100 ball pens for Rs 250. He sold each pen for. Find the profit percent.