Question

A cement company earns a profit of 8 per bag of white cement sold and a loss oft 5 per bag ofgrey cement sold.
(a) The company sells 4,000 bags of white cement and 6,000 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 6,000 bags?

Answer 1

Step-by-step explanation:

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

(a) The company sells 4,000 bags of white cement and 6,000 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 6,000 bags?

Answer 2

Answer:

(a)

Profit gained by 1 bag of white cement = Rs 8

Loss of 1 bag of grey cement = Rs 5

(i) Profit from selling 3000 white cement bags = Rs 3000\times8\ =\ 240003000×8 = 24000

(ii) Loss from selling 5000 grey cement bags = Rs 5000\times5=\ 250005000×5= 25000

since 24000<2500024000<25000

profit\ <\ loss\profit < loss

Therefore, his total loss on selling the grey cement bags = loss\ -\ profit\loss − profit

25000-24000\ =\ 100025000−24000 = 1000

Thus, company has lost of Rs 1000 on selling the grey cement bags.

(b)

Let the no. of white cement bags be 'x'

According to the question

Loss = Profit

Therefore, 5\times6400\ =\ x\ \times85×6400 = x ×8

\frac{5\times6400}{8}=\ x

8

5×6400

= x

x=\ 4000x= 4000