Question

A cement company earn a profit of Rs 10 per bag os ehite cement sold out , a loss of Rs 5 per bag of grey cement sold
(i) The company sells 4000 bags of white cement and 5000 bags of grey cement in a month. What is its profit or loss?
(ii) 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 1000?

Answer 1

(i)

$\sf{\underline{Given:}}$

Profit for selling each white cement bag:

$\implies$ $\boxed{\huge\sf{Rs.\: 10}}$

Loss for selling each grey cement bag:

$\implies$ $\boxed{\huge\sf{Rs.\: 5}}$

$\sf{\underline{Bags\:of:}}$

White cement sold by the company: 4000

Grey cement sold by the company: 5000

$\sf{\underline{Hence:}}$

Profit earned by the company:

$\implies$ $\huge\sf{4000\times10}$

$\implies$ $\boxed{\huge\sf{Rs.\: 40,000}}$

Loss incurred by the company:

$\implies$ $\huge\sf{5000\times5}$

$\implies$ $\boxed{\huge\sf{Rs.\: 25,000}}$

$\sf{\underline{Note:}}$ 40,000 is greater than 25,000.

$\sf{\underline{Hence:}}$

There is a profit of Rs. 15,000 for the company.

(ii)

$\sf{\underline{To\:find:}}$

The required the number of white cement bags to equal the amount.

$\sf{\underline{Given:}}$

Total grey cement bags: 1000

$\sf{\underline{Now:}}$

Loss incurred by the company:

$\implies$ $\huge\sf{1000\times5}$

$\implies$ $\boxed{\huge\sf{5000}}$

$\sf{\underline{Hence:}}$

In order to make the amounts equal, the profit should also be the same. 

$\sf{\underline{Therefore:}}$

Profit is Rs. 5000

No. of white cement bags:

$\implies$ $\huge\sf{\frac{5000}{10}}$

$\implies$ $\boxed{\huge\sf{500}}$

So, the required no. of white cement bags to equal the amount are 500.