Question

The CP of 25 articles is equal to the SP of 20 articles. Then total gain $\%$ is _______.

• A. 25%
• B. 20%
• C. 30%
• D. 50%

Answer 1

The correct option is A 25%

Let the cost price of one article be x.
Let the selling price of one article be y.
Therefore, the total cost price for 25 articles is 25x.
Similarly, the total selling price for 20 articles is 20y.

Also, it is given that 25x = 20y

Assume we are now selling 25 articles.
$\therefore$ the selling price of 25 articles is 25y

Gain = 25y - 25x

$Gain\%=\frac{25y-25x}{25x}\times 100$
$=\frac{25y-20y}{20y}\times 100$
$=\frac{1}{4}\times 100$
$=25\%$