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. The company sells 3000 bags of white cement and 5000 bags of grey cement in a month.what is the 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 cement bags sold is 6400 bags.
Answers
A. The company sells 3000 bags of white cement and 5000 bags of grey cement in a month.What is the profit or loss?
Solution :
Given:
Profit for selling each white cement bag = Rs. 8
Loss for selling each grey cement bag = Rs. 5
Bags of white cement sold by the company = 3,000
Bags of grey cement sold by the company = 5,000
Hence profit earned by the company = 3,000 × 8 = Rs.24,000
Loss incurred by the company = 5,000 × 5 = Rs. 25,000
Since, 25,000 is greater than 24,000.
Hence there is a loss of Rs. 100 for the company.
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?
Solution:
To find: The required the number of white cement bags to equal the amount.
Given: Total grey cement bags = 6,400.
Now, the loss incurred by the company = 6,400 × 5 = 32,000
Hence, to make the amounts equal, the profit should also be the same.
Therefore, the profit is Rs. 32,000
No. of white cement bags = 32,000 ÷ 8 =4000
So, the required no. of white cement bags to equal the amount are 4,000.
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