A. Loss of Rs. 662.40 Based on the given formula above, which are Profit = Selling Price – Cost Price, Loss = Cost Price –Selling Price, Profit percentage = (Profit / cost price) x 100, Loss percentage = (loss / cost price) x 100, and Selling Price = (100 + gain percentage / 100) x cost price = (100-loss percentage / 100) x cost price, we can derived the answer as follows: Given: Cost price of first item = 46,000 Loss Percentage on first item = 12% Gain Percentage on second item = 12% To get the cost price of the second item we will use the formula Loss Percentage = (loss / cost price) x 100, thus getting the equation 12 = (loss / 46.000) x`100. From this equation we can derive the value of loss which is 5,520.
To get the cost of the second item we subtract the value of Loss from the value of the first item (46,000-5520=40,480). We can now use that value to solve for the selling price of the second item (Selling Price = (100 + gain percentage / 100) x cost price), which will result in 45,337.6. To get the overall loss, we will use the formula Loss = Cost price – selling price (Loss = 46,000 – 45,337.6), thus getting the overall loss result of RS 662.4.