Question 9 - Figure it out - Page 28, 29, 30 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

Transcript

Question 9 A shopkeeper sells pencils at a price such that the selling price of 3 pencils is equal to the cost of 5 pencils. Does he make a profit or a loss? What is his profit or loss percentage?Given that Selling Price of 3 pencils = Cost price of 5 pencils 3 × Selling Price of 1 pencil = 5 × Cost price of 1 pencil Selling Price of 1 pencil = 𝟓/𝟑 × Cost price of 1 pencil Let us assume Cost price of 1 pencil = ₹ 10 Thus, Selling Price of 1 pencil = 5/3 × Cost price of 1 pencil = 5/3 × 10 = 50/3 = ₹ 16.66… Since Selling Price > Cost Price, he makes a profit Now, We need to find Profit Percentage Thus, Profit Percentage = 𝑃𝑟𝑜𝑓𝑖𝑡/(𝐶𝑜𝑠𝑡 𝑃𝑟𝑖𝑐𝑒) × 100 = (𝑆𝑒𝑙𝑙𝑖𝑛𝑔 𝑃𝑟𝑖𝑐𝑒 − 𝐶𝑜𝑠𝑡 𝑃𝑟𝑖𝑐𝑒)/(𝐶𝑜𝑠𝑡 𝑃𝑟𝑖𝑐𝑒) × 100 = (50/3 −10)/10 × 100 = (𝟓𝟎/𝟑 −𝟏𝟎) × 10 = ((50 − 3 × 10)/3) × 10 = ((50 − 30)/3) × 10 = 20/3 × 10 = 200/3 = 66.66…% Therefore, he makes profit of approximately 66.67% Note: Here we cannot find Profit, we can only find Profit Percentage as Cost Price or Selling Price is not given. We assumed Cost Price = ₹ 10 to make our calculations easier