# 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.

**Solution:**

(a) Profit on one white cement bag = Rs 8

Loss on one grey cement bag = Rs -5

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

Total loss = Rs -25,000 − Rs 24,000 = -Rs 1,000 i.e. Rs 1000

(b) Selling price of grey bags at a loss of Rs 5 = Rs -5 × 6,400= -Rs 32000

For no profit and no loss, the selling price of white bags = Rs 32000

Number of white cement bags sold = (selling price of white cement bags sold) / (rate of selling price of white bags at profit)

= 32000 / 8 = 4000

Hence, the required number of bags = 4,000

Therefore, the 4000 bags of white cement have neither profit nor loss.

**Video Solution:**

## 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.

### NCERT Solutions Class 7 Maths - Chapter 1 Exercise 1.3 Question 8

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

a) A total loss of 1000 Rs was incurred. b) The number of white cement bags it must sell to have neither profit nor loss is 4000