Profit And Loss

Step 1: Express profit and loss as fractions and define variables. Let CP1, SP1 be for the first bike and CP2, SP2 for the second. Loss on first bike = . So, . Profit on second bike = 20% = . So, .

Step 2: Use the given conditions to form equations. Condition 1: . Condition 2: .

Step 3: Solve the system of equations. Substitute for in the first equation: Now substitute : Now find the other values: . From , we get .

Step 4: Calculate the total cost price and the overall loss. Total Cost Price = . Total Selling Price = Rs.1,50,000. Overall Loss = Total Cost Price - Total Selling Price = .

Step 1: Define variables. Let CP be the Cost Price and SP be the original Selling Price. Let the new selling price be .

Step 2: Formulate an equation based on the loss condition. At , there is a 30% loss. This means the item was sold for 70% of its cost price.

Step 3: Relate the original selling price (SP) to the cost price (CP). We have two expressions for , so we can equate them: Now, solve for SP in terms of CP:

Step 4: Determine the profit or loss at the original selling price. The original selling price is 87.5% of the cost price. Since , it is a loss. Loss = CP - SP = . The loss percentage is 12.5% or . Note: The question asks for a profit percentage, which is contradictory to the result. This suggests a typo in the question's values. However, the numerical value matches option D.