Question

The selling price of 4 articles is same as the cost price of 5 articles.On selling one article the profit gained by the shopkeeper is how many times that of its cost price.

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Answer 1

Profit = sp of 1
Sp of 5 - cp of 5 = sp of 1
Sp of 4 = cp of 5
Cp/sp = 4/5
Profit % =(5–4)/4 * 100 = 25%

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Answer 2

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Here is your answer
Let the CP of one article is x
CP of 5 Article is 5x

Now
SP of 4 Articles= CP of 5 Articles = 5x
SP of One Articles =5x/4
= 1.25 x

On Selling one article,
Gain = SP - CP
= 1.25 x - x
= 0.25 x

Number of times of CP is
$= \frac{0.25x}{x} \\ = \frac{25}{100} \\ = \frac{1}{4} \: times \: of \: cp$
Therefore Shopkeeper gain is 1/4 times of CP

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