question_answer 22)

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) The company sells 3,000 bags of white cement and 5,000 bags of grey cement in month. What is its profit or loss?                                                        (b) 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:

                (a) The company sells 3,000 bags of white cement. So her profit \[=\text{3},000\times \text{8}=\] ` 24,000                                          Also, the company sells 5,000 bags of grey cement. So her loss \[=\text{5},000\times \text{5}=\] ` 25,000                                            Since \[\text{25},000>\text{24},000\]                                                    Therefore, company is in loss and the loss is \[25000-24000=\] ` 1000 (b) Let \['x'\] be the number of white cement bags sold. According to the question, we get \[x\times \text{8}=\text{64}00\times \text{5}\] \[\Rightarrow \]               \[x=\frac{6400\times 5}{8}=800\times 5=4,000\] bags Therefore, 4,000 bags of white cement must be sold to have neither profit nor loss.