Example 5 (Page 17) - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

Transcript

Example 5 (Page 17) The rice stock in Raghu’s provision store is getting old. He had purchased the rice at ₹35 per kg. To clear his stock, he sells 10 kg rice for ₹300. Find out the percentage loss. Could we have just calculated the loss percentage per kg instead? Would it be the same? Given that Amount of rice sold = 10 kg Cost price per kg = ₹ 35 per kg Selling Price = ₹ 300 First, we find Cost Price for 10 kg Cost price for 10 kg = Cost price per kg × 10 = 35 × 10 = ₹ 350 Now, finding Percentage Loss Percentage Loss = 𝐿𝑜𝑠𝑠/(𝐶𝑜𝑠𝑡 𝑃𝑟𝑖𝑐𝑒) × 100 Percentage Loss = (𝑪𝒐𝒔𝒕 𝑷𝒓𝒊𝒄𝒆 − 𝑺𝒆𝒍𝒍𝒊𝒏𝒈 𝑷𝒓𝒊𝒄𝒆)/(𝑪𝒐𝒔𝒕 𝑷𝒓𝒊𝒄𝒆) × 100 Putting values Percentage Loss = (350 − 300)/350 × 100 = 𝟓𝟎/𝟑𝟓𝟎 × 100 = 5/35 × 100 = 1/7 × 100 = 100/7 = 14.28 % Our next part of the question is Could we have just calculated the loss percentage per kg instead? Would it be the same? Let’s find out CP per kg=F35(350÷10) SP per kg=₹30(300÷10) Loss = ₹5 Loss %=5/35×100=14.28% Thus, the loss percentage is exactly the same! Note: Loss will not be the same