Question

A cement company earns a profit of rs.8 per bag of white cement sold and a loss of rs.5 per bag of grey cement sold

A.The company sells 3000 bags of white cement and 5000 bags of grey cement in a month.what is the 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 cement bags sold is 6400 bags

Answer 1

We denote white cement by WC and grey cement by GC and profit at +Rs while loss as -Rs.

Now, as per question
1 bag of WC = +Rs. 8 (profit)
1 bag of GC = -Rs.5 (loss)

a) 3000 bags of WC= +Rs.8 x 3000 = Rs. 24000 profit.
    5000 bags of GC= -Rs.5 x 5000 = Rs. 25000 loss.
     Hence, we have an overall loss of Rs. 1000. 

b) As we know that a bag of GC gives us a loss of Rs.5, therefore on selling 6400 bags of GC we have a loss of Rs.5 x 6400 = Rs. 32000.
    Let us assume that the company needs to get back the same amount in profit i.e Rs. 32000 to have neither profit nor loss by selling X bags of WC.
    Each bag of WC gives a profit of Rs. 8
    Therefore X bags will give a profit of Rs. 8X which is equal to Rs. 32000
Hence, 8X=32000
X=32000/8 = 4000
Therefore, company needs to sell a total of 4000 bags of WC to get themselves in a situation of no profit no loss. 

I hope this helps you.
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