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. [Represent the profit/loss as integers.] (a) The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss? (b) If the number of bags of grey cement sold is 6,400 bags, what is the number of bags of white cement the company must sell to have neither profit nor loss.
The company incurs a loss of ₹1,000.
The company must sell 4,000 bags of white cement.
Explanation
(a) Profit from white cement = = ₹24,000. Loss from grey cement = = ₹25,000. Net = 24000 − 25000 = −₹1,000. (b) Loss from grey cement = = ₹32,000. To break even, profit from white cement must equal ₹32,000. Number of bags = 32000 ÷ 8 = 4000.