Question

The C.P. of 25 articles is equal to the S.P. of 20 articles. Then the total gain percentage 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 Rs. x
Let the selling price of one article be Rs. y

Therefore, the total cost price for 25 articles is Rs. 25x
Similarly, the total selling price for 20 articles is Rs. 20y

Also, its given that 25x = 20y

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

Gain = 25y - 25x

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