The cost price of article A is 20% more than the selling price of arti...
Given Information:
- The cost price of article A is 20% more than the selling price of article B.
- On selling A, there is a 100% profit.
- On selling B, there is a 50% loss.
Calculating the Selling Price of Article B:
Let the selling price of article B be x.
According to the given information, the cost price of article A is 20% more than the selling price of article B.
So, the cost price of article A = x + 20% of x = x + 0.2x = 1.2x
On selling A, there is a 100% profit. Therefore, the selling price of A = cost price of A + 100% of cost price of A = 1.2x + 1.2x = 2.4x
Calculating the Overall Profit Percentage:
Profit or loss percentage is calculated based on the cost price. Therefore, we need to find the cost price of both articles.
Cost price of article A = 1.2x
Since there is a 50% loss on selling B, the selling price of B is 50% less than the cost price of B.
So, the selling price of B = cost price of B - 50% of cost price of B = x - 0.5x = 0.5x
We know that selling price = cost price + profit/loss
So, 0.5x = cost price of B + loss = cost price of B - 0.5x
Therefore, cost price of B = 1x
Now, let's calculate the overall profit percentage.
Total cost price = cost price of A + cost price of B = 1.2x + 1x = 2.2x
Total selling price = selling price of A + selling price of B = 2.4x + 0.5x = 2.9x
Overall profit = Total selling price - Total cost price = 2.9x - 2.2x = 0.7x
Overall profit percentage = (Overall profit / Total cost price) * 100
Overall profit percentage = (0.7x / 2.2x) * 100 = 31.82%
Overall Profit Percentage:
The overall profit percentage on selling both articles is 31.82%.