A shopkeeper sells a pen set at $30$ % profit to another shopkeeper who sells it at a loss of $30$ %. If price of pen set $₹\ 150$ , what is net profit or loss on total transaction?
Given: A shopkeeper sells a pen set at $30$ % profit to another shopkeeper who sells it at a loss of $30$ %. And the price of pen set $₹\ 150$.
To do: To find the net profit or loss on total transaction.
Solution:
As given, $1^{st}$ Shopkeeper sells a pen at $X=30$ % Profit to another $2^{nd}$ shopkeeper
$2^{nd}$ Shopkeeper sold it at $Y=30$ % Loss
On using formula of net profit or loss $=X+Y+( \frac{XY}{100})$
Therefore, net profit or loss $=X+Y+( \frac{XY}{100})$
$\Rightarrow 30+( -30)+ \frac{( 30)(-30)}{100}$
$\Rightarrow -9$ %
Therefore, total net loss is $9$ %
After $9$ % loss, the price of pen$=150-( \frac{150\times9}{100})$
$=150-13.5$
$=₹\ 136.5$
Thus, the net loss is $₹\ 107.52$.
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