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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%

Question

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%

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Solution

To solve this problem, we first need to find out how much the man bought the first article for.

Step 1: If he sold the first article at a 25% profit for Rs.3974, that means the cost price of the first article is 100% of the price he bought it for. We can find this by dividing the selling price by 125% (or 1.25 in decimal form).

So, the cost price of the first article = Rs.3974 / 1.25 = Rs.3179.2

Step 2: Now, we know that the total cost price of both articles is twice the cost price of the first article (since there is no profit or loss in the whole transaction).

So, the total cost price = 2 * Rs.3179.2 = Rs.6358.4

Step 3: The cost price of the second article is the total cost price minus the cost price of the first article.

So, the cost price of the second article = Rs.6358.4 - Rs.3179.2 = Rs.3179.2

Step 4: Now, we know that the man sold the second article for Rs.3974. To find the loss percentage, we subtract the selling price from the cost price, divide by the cost price, and then multiply by 100.

So, the loss percentage = ((Rs.3179.2 - Rs.3974) / Rs.3179.2) * 100 = -16.66%

Since the loss percentage is negative, that means the man actually made a profit on the second article. Therefore, none of the options are correct.

This problem has been solved

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