Question : The ratio of the cost price and selling price of an article is 25 : 26. The percent of the profit will be:
Option 1: 26%
Option 2:
25%
Option 3:
1%
Option 4:
4%
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Correct Answer:
4%
Solution :
Given that the cost price (CP) and selling price (SP) of an article are in the ratio 25 : 26,
Let,
$ \text{CP} = 25x $
$ \text{SP} = 26x $
$ \text{Profit percentage} = \frac{\text{Selling price} - \text{Cost price}}{\text{Cost price}} \times 100 $
Substituting these values into the formula,
$ \text{Profit Percentage} = \frac{26x - 25x}{25x} \times 100 = 4\% $
Hence, the correct answer is 4%.
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