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

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 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 6400 bags

Accepted Answer

We denote profit in positive integer and loss in negative integer,

From the question,

Cement company earns a profit on selling 1 bag of white cement = ₹ 8 per bag

Let the number of white cement bags be x.

Then,

Cement company earns a profit on selling x bags of white cement = (x) × ₹ 8= ₹ 8x

Loss on selling 1 bag of grey cement = – ₹ 5 per bag

Then,

Loss on selling 6400 bags of grey cement = 6400 × – ₹ 5 = – ₹ 32000

According to the question,

Company must sell to have neither profit nor loss.

Profit + loss = 0

8x + (-32000) =0

By shifting -32000 from LHS to RHS it becomes 32000

8x = 32000

x = $\frac{32000}{8}$

x = 4000

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

NCERT Solutions Class 7 Mathematics Solutions for Exercise 1.3 in Chapter 1 - Integers