A cement company earns a profit of Rs 8 per bag of white cement sold and a loss of Rs5 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
Answer:
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Step-by-step explanation:
(a) Profit on one white cement bag = Rs. 8
Loss on one grey cement bag = - Rs. 5 [Loss is considered to be negative]
Profit on 3,000 bags of white cement = 3,000 × Rs. 8 = Rs. 24,000
Loss on 5,000 bags of white cement = - 5,000 × Rs. 5 = - Rs. 25,000
Since the loss amount is greater than the profit amount,
Total loss = - Rs. 25,000 + Rs. 24,000 = - Rs. 1,000
i.e. the total loss amount is Rs.1000.
(b) Selling price of grey bags at a loss of Rs. 5 = - Rs. 5 × 6,400= - Rs. 32000
To have no profit or loss, the selling price of white bags has to be = Rs. 32000
Number of white cement bags sold = (Total selling price of white cement bags) / (rate of selling price of white bags at profit)
= 32000 / 8 = 4000