Question

A cement company earns a profit of Rs. $9$ per bag of white cement sold and a loss of Rs. $5$ per bag of grey cement sold. What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is $5400$.

Answer 1

Profit on white cement bag $=Rs.+9$

Loss on grey cement bag $=Rs.-5$

Loss on $1$ bag of grey cement $=Rs.-5$

Loss on $5400$ bag of grey cement $=(-5)\times 5400=Rs.-27000$

Let the number of bags of white cement be $x$.

Profit on $1$ bag of white cement $=Rs.+9$

Profit on $x$ bags of white cement $=Rs.+9x$

Now, Total profit/loss $=0$

$\Rightarrow$ Total profit $+$ Total loss $=0$

$\Rightarrow 9x+(-27000)=0$

$\Rightarrow 9x=27000$

$\Rightarrow x=\frac{27000}{9}$

$\Rightarrow x=3000$

$\therefore$ Number of white bags sold $=3000$