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If the cost price of 20 articles is the same as the selling price of $x$ articles. If the profit is 25%, the value of $x$ is:

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answer is B.

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Detailed Solution

Concept- We will use the formula: For the profit,

\frac{selling price}{cost price} \times 100

And then we will equate this profit to profit percentage which is given in question, i.e. 25%
We know if the selling price is greater than the cost price, then it is profit, hence,

profit = selling price - cost price

Assuming the cost price of each article as Rs 1
Therefore CP of

n

articles

=

n

Given, selling price of

x

articles

=

Rs 20

Profit = \frac{selling price}{cost price} \times 100 = 25 %

\Rightarrow \frac{20 - n}{n} = \frac{25}{100}

\Rightarrow 2000 - 100 n = 25 n

\Rightarrow 125 n = 2000

\Rightarrow n = 16

The value of

n

is 16.
Hence, the correct answer is option 2.

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