Question 5 - Figure it out - Page 28, 29, 30 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

Transcript

Question 5 A shopkeeper initially set the price of a product with a 35% profit margin. Due to poor sales, he decided to offer a 30% discount on the selling price. Will he make a profit or a loss? Give reasons for your answer.To make our calculation (and life) easier, we assume Cost Price = ₹ 100 Given that shopkeeper sets the profit margin as 35% So, shopkeeper marks the Price as 35% We can write Marked Price = Cost Price + 35% × Cost price = 100 + 35% × 100 = 100 + 35/100 × 100 = 100 + 35 = ₹ 135 Now, he decided to offer a 30% discount on the selling price Thus, Selling Price = Marked Price – Discount = Marked Price – Discount %ge × Marked Price = 135 – 30% × 135 = 135 – 𝟑𝟎/𝟏𝟎𝟎 × 135 = 135 – 3/10 × 135 = 135 – 405/10 = 135 – 40.5 = ₹ 94.5 Now, we need to find Profit or Loss Here, Cost Price = ₹ 100 Selling Price = ₹ 94.5 Since Selling Price < Cost Price, it is a loss And, Loss = Cost Price – Selling Price = 100 – 94.5 = ₹ 5.5 But, we cannot write Loss in rupees since we assumed cost price, so we find Loss Percentage Loss Percentage = 𝐿𝑜𝑠𝑠/(𝐶𝑜𝑠𝑡 𝑃𝑟𝑖𝑐𝑒) × 100 = 5.5/100 × 100 = 5.5% Thus, he makes a Loss of 5.5%. = ₹ 94.5 Now, we need to find Profit or Loss Here, Cost Price = ₹ 100 Selling Price = ₹ 94.5 Since Selling Price < Cost Price, it is a loss And, Loss = Cost Price – Selling Price = 100 – 94.5 = ₹ 5.5 But, we cannot write Loss in rupees since we assumed cost price, so we find Loss Percentage Loss Percentage = 𝐿𝑜𝑠𝑠/(𝐶𝑜𝑠𝑡 𝑃𝑟𝑖𝑐𝑒) × 100 = 5.5/100 × 100 = 5.5% Thus, he makes a Loss of 5.5%.