Question

the cost price of 24 articles is the selling price of 15 articles find the gain percentage

Answer 1

CP of 24 articles = SP of 15 articles

let CP of 1 article is x rupees

CP of 24 articles = 24 x = SP of 15 articles

that is SP of 1 article is more than CP of one article,so as to balance the equation

CP of 24 articles = SP of 15 articles

So gain % =
$\frac{24x - 15x}{15x} \times 100 \\ \\ = \frac{9}{15} \times 100 \\ \\ = \frac{3}{5} \times 100 \\ \\ = 3 \times 20 \\ \\ = 60$
gain is 60%

Answer 2

Answer:

CP of 24 articles = SP of 15 articles

let CP of 1 article is x rupees

CP of 24 articles = 24 x = SP of 15 articles

that is SP of 1 article is more than CP of one article,so as to balance the equation

CP of 24 articles = SP of 15 articles

So gain % =

{24x - 15x}/{15x} * 100

{9}{15} \times 100 \\ \\ = \frac{3}{5} \times 100 \\ \\ = 3 \times 20 \\ \\ = 60\end{gathered}

15x

24x−15x

×100

=

15

9

×100

=

5

3

×100

=3×20

=60

gain is 60%

Step-by-step explanation:

CP of 24 articles = SP of 15 articles

let CP of 1 article is x rupees

CP of 24 articles = 24 x = SP of 15 articles

that is SP of 1 article is more than CP of one article,so as to balance the equation

CP of 24 articles = SP of 15 articles

So gain % =

\begin{gathered} \frac{24x - 15x}{15x} \times 100 \\ \\ = \frac{9}{15} \times 100 \\ \\ = \frac{3}{5} \times 100 \\ \\ = 3 \times 20 \\ \\ = 60\end{gathered}

15x

24x−15x

×100

=

15

9

×100

=

5

3

×100

=3×20

=60

gain is 60%