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After selling 20 articles, a man earns a profit equal to the S.P of 6 articles. Find the profit %.40%42674267%30273027%30%

Question

After selling 20 articles, a man earns a profit equal to the S.P of 6 articles. Find the profit %.40%42674267%30273027%30%

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Solution

The problem states that the profit made after selling 20 articles is equal to the selling price of 6 articles.

Let's denote:

  • the cost price of one article as 'C'
  • the selling price of one article as 'S'
  • the profit of one article as 'P'

From the problem, we know that:

  • The profit from 20 articles is equal to the selling price of 6 articles. So, 20P = 6S.
  • The profit of one article is equal to the selling price minus the cost price. So, P = S - C.

We can substitute the second equation into the first to get: 20(S - C) = 6S. Solving this equation gives us S = 1.25C.

The profit percentage is calculated as (Profit/Cost Price) * 100. Substituting P = S - C into this formula gives us ((1.25C - C)/C) * 100 = 25%.

So, the profit percentage is 25%.

This problem has been solved

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