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 3, 000 bags of white cement and 5,000 bags of grey cement in a 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.
Answers
refer to given attachment please
Given:
a cement company earns a profit of rs.8 per bag of white cement sold and loss of rs.5 per bag of grey cement sold
To find:
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 ?
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.
STEP BY STEP EXPLANATION:
Case 1:
Profit earned while selling 1 bag of white cement = Rs 8
Profit earned while selling 3000 bags of white cement = 8 x 3000
= 24000
Loss incurred while selling 1 bag of grey cement =
-Rs 5
Loss incurred while selling 5000 bags of grey cement = -5 5000
= -25000
Total profit/loss earned Profit + Loss
= 24000 + (-25000) = -1000
∴ Therefore, a loss of Rs 1000 will be incurred by the company.
Case 2:
Loss incurred while selling 1 bag of grey cement = -Rs5
= -32000
Loss incurred while selling 6400 bags of grey cement (-5) x 6400
Let the number of bags of white cement to be sold
be x.
Profit earned while selling 1 bag of white cement = Rs8
= 8x
Profit earned while selling x bags of white cement = x8
In condition of no profit no loss,
Profit earned + Loss incurred = 0
08x + (-32000) = 0
08x = 32000
32000x = 4000
∴ Therefore, 4000 bags of white cement must be sold.
Hence verified !