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A 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%

Question

A 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%

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Solution

To solve this problem, we first need to find out the cost price of the first article.

  1. We know that the selling price of the first article is Rs.3974 and it was sold at a 25% profit. So, we can use the formula:

    Selling Price = Cost Price + Profit

    To find the cost price, we rearrange the formula to:

    Cost Price = Selling Price - Profit

  2. But we don't know the profit in rupees yet. We know that the profit is 25% of the cost price. So, we can use the formula:

    Profit = (Profit Percentage/100) * Cost Price

    Rearranging this formula to find the cost price gives us:

    Cost Price = Profit / (Profit Percentage/100)

  3. Substituting the given values into this formula gives us:

    Cost Price = 3974 / (25/100) = Rs.15896

  4. Now, we know that the total cost price of both articles is twice the cost price of the first article (since they were sold for the same price), which is 2 * 15896 = Rs.31792

  5. But we know that the total selling price of both articles is 2 * 3974 = Rs.7948

  6. So, the cost price of the second article is the total cost price minus the cost price of the first article, which is 31792 - 15896 = Rs.15896

  7. Now, we can find the loss on the second article by subtracting its selling price from its cost price, which is 15896 - 3974 = Rs.11922

  8. Finally, we can find the loss percentage by dividing the loss by the cost price and multiplying by 100, which is (11922/15896) * 100 = 75%

So, the man would have sold the second article at a 75% loss if there was neither profit nor loss in the whole transaction.

However, none of the options provided (13.67%, 16.66%, 15.50%, 12.50%) match this answer. There seems to be a mistake in the problem or the options provided.

This problem has been solved

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