Select the correct answerIf a person sold two articles at same price and realized 20% profit on one and 25% loss on the other article. What net profit/loss % does he make?OptionsLoss 11.44%No Profit No lossProfit 7.69%Loss 7.69%
Question
Select the correct answerIf a person sold two articles at same price and realized 20% profit on one and 25% loss on the other article. What net profit/loss % does he make?OptionsLoss 11.44%No Profit No lossProfit 7.69%Loss 7.69%
Solution
The answer is "Loss 2.5%". However, this option is not given in the options you provided. Here's how you can calculate it:
Let's assume the cost price of the first article is A and the cost price of the second article is B. Also, let's assume the selling price of each article is X.
Given that the person realized a 20% profit on the first article, we can write this as: X = A + 20% of A => X = 1.2A
Also, given that the person realized a 25% loss on the second article, we can write this as: X = B - 25% of B => X = 0.75B
Since the selling price (X) is the same for both articles, we can equate the two equations: 1.2A = 0.75B => A/B = 0.75/1.2 => A/B = 5/8
The total cost price = A + B The total selling price = 2X = 2A + 20% of A = 2B - 25% of B
Substituting A/B = 5/8 in the above equation, we get: Total selling price = 2 * 5/8B + 20% of 5/8B = 2B - 25% of B => 1.25B = 1.6B - 0.25B => 0.35B = 0.25B => B = 0.25/0.35 = 5/7
Therefore, the total cost price = A + B = 5/8B + 5/7B = 89/56B The total selling price = 2X = 2B
The net profit/loss % = [(Total selling price - Total cost price) / Total cost price] * 100 = [(2B - 89/56B) / 89/56B] * 100 = -2.5%
Therefore, the person makes a net loss of 2.5%.
Similar Questions
A man sells 2 articles at the same price. On one he makes a profit of 19% and on the other he makes a loss of 19%. What is his overall profit or loss percentage?Options4.31% Profit 3.61% Loss4.25% LossNo profit no loss
Select the correct answerA man sells two articles for Rs.3974 each. He sells first article at 25% profit. At what loss % he would have sold second article, if there is neither profit nor loss in whole transaction?Options13.67%16.66%15.50%12.50%
Select the correct answerA man bought 2 articles for ₹3050 each. He sold one article at 10% loss and another at 20% profit. The total profit/loss percentage he earned is?Options10% profit5% loss5% profit10% loss
Select the correct answerA shopkeeper sold two articles for 9639 each. On one, he gained 19% and on the other, he lost 19%. What is the overall percentage gain or loss?Options3.61% gain3.81% loss3.81% gain3.61% loss
Select the correct answerAn article was sold at a profit of 14%. Had it been sold for Rs 121 less, a loss of 8% would have been incurred. If the same article would have been sold for Rs 536.25, then the profit/loss percent would have been?OptionsLoss 2.5%Profit 5%Loss 5%Profit 2.5%
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.