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The cost price of article A is 20% more than the selling price of article B. On selling A, there is a 100% profit and on selling B there is 50% loss. What is the overall profit percentage on selling both the articles?
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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%.
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