Profit And Loss

Step 1: Let the cost price of A be .
A sells the article at a 10% profit, so the selling price of A is:

Step 2: B's Buying and Selling Prices.
B buys the article at 10% lesser than A, so B's cost price is: B sells it at ₹18 lesser than A, so B's selling price is: B's gain percentage is 20%, so: Substitute the values: Simplify the equation: Thus, the cost price of A is ₹11.25.

Final Answer:

Step 1: Marked Price of the Item.
The shopkeeper marks the item at 30% higher than the cost price. The marked price is:

Step 2: Selling Price After Discount.
The shopkeeper sells the item by allowing a 20% discount on the marked price. The selling price is:

Step 3: Profit and Profit Percentage.
The profit is: The profit percentage is:

Final Answer: