A cement company earns a profit of 8 per bag of white cement sold and

1.	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. 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» Loss on 1 bag grey cement bag = Rs -5 Loss on 6400 bag grey cement =Rs -5 × 6400 = Rs -32000 Let number of bags of white cement = n profit on 1 bag white cement = Rs 8 Profit on n bags white cement = Rs 8n ∴ Total profit / loss = 0 Total profit + Total loss = 0 8n + (-32000) = 0 8n – 32000 = 0 ⇒ 8n = 32000 n = \(\frac{8000}{8}\) n = 4000 ∴ Number of white cement bags = n = 4000

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. 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»

Loss on 1 bag grey cement bag = Rs -5

Loss on 6400 bag grey cement =Rs -5 × 6400 = Rs -32000

Let number of bags of white cement = n

profit on 1 bag white cement = Rs 8

Profit on n bags white cement = Rs 8n

∴ Total profit / loss = 0

Total profit + Total loss = 0

8n + (-32000) = 0

8n – 32000 = 0

⇒ 8n = 32000

n = \(\frac{8000}{8}\)

n = 4000
∴ Number of white cement bags = n = 4000