Two articles are bought at the same price. one is sold at 20% profit and other is sold at 10% loss find overall profit /loss percentage.
To find the overall profit/loss percentage, we need to calculate the total amount gained or lost and then express it as a percentage of the total cost.
Let's assume the cost of each article is $100.
Article 1 is sold at a 20% profit, which means it was sold for 100 + (20% of 100) = $120.
Article 2 is sold at a 10% loss, which means it was sold for 100 - (10% of 100) = $90.
Now, let's calculate the total cost and total selling price:
Total cost = Cost of article 1 + Cost of article 2 = $100 + $100 = $200
Total selling price = Selling price of article 1 + Selling price of article 2 = $120 + $90 = $210
To find the overall profit/loss, we subtract the total cost from the total selling price:
Overall profit/loss = Total selling price - Total cost = $210 - $200 = $10
We have a profit of $10.
To calculate the profit/loss percentage, we divide the profit/loss by the total cost and multiply by 100:
Profit/loss percentage = (Profit/loss / Total cost) x 100 = ($10 / $200) x 100 = 0.05 x 100 = 5%
Therefore, the overall profit/loss percentage is 5%.
1.2 b + .9 b = 2.1 b
2.1 b / 2 b = 1.05
1.05 - 1 = .05 = 5% profit