Question

A cement company earns a profit of $8 per bag of white cement sold and a loss of $5 per bag of grey cement sold.
A) 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 6,400 bags.

Answer 1

Dear Student,

Loss incurred while selling 1 bag of grey cement = −Rs 5

Loss incurred while selling 6400 bags of grey cement = (−5) × 6400

= −32000

Let the number of bags of white cement to be sold be x.

Profit earned while selling 1 bag of white cement = Rs 8

Profit earned while selling x bags of white cement = x × 8

= 8x

In condition of no profit no loss,

Profit earned + Loss incurred = 0

8x + (−32000) = 0

8x = 32000

x​​​​​ = $\frac{32000}{8}$

x = 4000

Therefore, 4000 bags of white cement must be sold.

Regards