Question

A cement company earns a profit of Rs 8 per bag of old white cements and a loss of Rs 5 per bag of old grey cements. 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? [4 MARKS]

Answer 1

Steps: 2 Marks
Result: 2 Marks

As per the question
Loss incurred while selling 1 bag of grey cement = -Rs 5
Loss incurred while selling 6400 bags of grey cement = (- 5) $\times$ 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 $\times$ 8
=8x

In condition of no profit no loss,
Profit earned + Loss incurred = 0
8x + (-32000) = 0
8x = 32000
x = 4000
Therefore, 4000 bags of white cement must be sold.