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By selling two articles for ₹800, a person gains the cost price of three articles. The profit percent is?Options125150140120

Question

By selling two articles for ₹800, a person gains the cost price of three articles. The profit percent is?Options125150140120

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Solution

To solve this problem, we need to follow these steps:

  1. Let's assume the cost price of one article is x. So, the cost price of two articles would be 2x and the cost price of three articles would be 3x.

  2. According to the problem, by selling two articles for ₹800, a person gains the cost price of three articles. This means the selling price of two articles (₹800) is equal to the cost price of three articles plus the cost price of two articles. So, we can write this as: 800 = 3x + 2x.

  3. Simplifying the above equation gives us: 800 = 5x.

  4. Solving for x (the cost price of one article) gives us: x = 800 / 5 = ₹160.

  5. So, the cost price of two articles is 2x = 2 * 160 = ₹320.

  6. The profit made by selling two articles is the selling price of two articles minus the cost price of two articles, which is 800 - 320 = ₹480.

  7. The profit percent is calculated as (Profit / Cost price) * 100. So, the profit percent in this case is (480 / 320) * 100 = 150%.

So, the profit percent is 150%.

This problem has been solved

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