Question

The cost price of 30 boxes is the same as the selling price of x boxes. If the profit is 20%, the
value of x will be:​

Answer 1

Given:

CP of 30 boxes = SP of x boxes

Profit Percentage= 20%

To Find:

The value of x

Solution:

$= > 30 \: CP \: = x \: SP$

$= > \dfrac{CP}{SP} = \dfrac{x}{30}$

$So, \: CP \: = x \: and \: SP = 30$

Profit:

$Profit \: = SP \: - \: CP$

$Profit \: = 30 - x$

Finding the value of x:

$Profit \% \: = \dfrac{Profit}{CP} \times 100$

$= > 20 = \dfrac{30 - x}{x} \times 100$

$= > (30 - x) \times 100 = 20x$

$= > 3000 - 100x = 20x$

$= > 100x + 20x = 3000$

$= > 120x = 3000$

$= > x = \dfrac{3000}{120}$

$= > x = 25$

$Hence, \: the \: value \: of \: x \: is \: 25$