Question

A trader buys 120 kilograms of rice at a price of ₹45 per kilogram, incurring a total cost for the entire quantity. He decides to sell a certain portion of the rice at a 20% profit while selling the rest at a 10% loss. At the end of the transactions, the trader makes an overall profit of ₹243. Based on this information, calculate how many kilograms of rice were sold at the 20% profit rate.

Q: Answer-A trader buys 120 kilograms of rice at a price of ₹45 per kilogram, incurring a total cost for the e...

Let the amount of rice sold at a gain be x kg The amount of rice sold at a loss 120 x kg. Selling Price of rice sold at a gain 120 of 45x 54x Selling Price of rice sold at a loss 90 of 120 - x 45 Total Cost Price 120 45 5400 Total Selling Price 54x 120 - x 40.5 54x 4860 - 40.5x 13.5x 4860 Given, Total Profit 243 So,13.5x 4860 5643 13.5x 783 x 58 kg