Question

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.
(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.

Answer 1

Answer:

Explanation:

(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