# 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 [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

Hence, the required number of white cement bags = 4,000

Therefore, the 4000 bags of white cement bags must be sold to have neither profit nor loss.

**☛ Check: **Class 7 Maths NCERT Solutions Chapter 1

**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

**Summary:**

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) If the company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month, a total loss of ₹ 1000 was incurred. (b) 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 will be 4000.

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