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Select the correct answerBy selling two articles for ₹800, a person gains the cost price of three articles. The profit percent is?Options120125150140

Question

Select the correct answer

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

Options:

  • 120
  • 125
  • 150
  • 140
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Solution

To solve this problem, we need to first understand the given information and then apply the formula for profit percentage.

Given: The selling price of two articles is ₹800. The profit made is equal to the cost price of three articles.

Let's assume the cost price of one article is x.

So, the cost price of two articles is 2x and the cost price of three articles is 3x.

According to the problem, the selling price of two articles (₹800) minus the cost price of two articles (2x) is equal to the cost price of three articles (3x).

So, we can write the equation as: 800 - 2x = 3x

Solving this equation, we get: 800 = 5x

Therefore, the cost price of one article (x) is: 800 / 5 = ₹160

Now, we can calculate the profit percentage. The formula for profit percentage is:

Profit % = (Profit / Cost price) * 100

The profit here is the selling price of two articles (₹800) minus the cost price of two articles (2 * ₹160 = ₹320), which is ₹480.

So, the profit percentage is: (480 / 320) * 100 = 150%

Therefore, the correct answer is 150.

This problem has been solved

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