Question

Q. 8. A cement company earns a profit of Rs.8 per bag of white cement sold and a loss of Rs.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.


Well explanation needed
No spam​

Answer 1

Answer:-

Step-by-step explanation:

a) The company sells 3,000 bags of white cement.

»» So their profit = 3,000 × 8 = Rs.24,000

Also, the company sells 5,000 bags of grey cement.

»» So their loss = 5,000 × 5 = Rs.25,000

Since 25,000 > 24,000

Therefore,

Company is in loss and the loss = 25000-24000 = Rs.1000.

b) Let 'x' be the number of white cement bags sold.

According to the question, we get

x × 8 = 6400×5

»»» x = 6400×5/8 = 800×5

= 4,000 bags.

Therefore,

4,000 bags of white cement must be sold to have neither profit nor loss.

$\huge\bf\pink{Hope \: it \: helps \: you}$

Answer 2

$\large\underline{\sf{Solution-}}$

Given that,

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

Now, given that,

Number of white cement bags sold by company = 3000

Profit on one bag = Rs 8

So,

Profit on selling 3000 white cement bag = 8 × 3000 = Rs 24000

Further given that,

Number of grey cement bags sold by company = 5000

Loss on selling one grey cement bag = Rs 5

So,

Loss on selling 5000 grey cement bags = 5000 × 5 = Rs 25000

So, in this transaction, there is loss and loss is of 24000 - 25000 = - 1000

So, There is loss of Rs 1000 in this transaction.

Now, Let assume that

Number of white cement bags sold be x.

Now,

Number of white cement bags sold by company = x

Profit on one bag = Rs 8

So,

Profit on selling x white cement bag = 8 × x = Rs 8x

Further given that,

Number of grey cement bags sold by company = 6400

Loss on selling one grey cement bag = Rs 5

So,

Loss on selling 6400 grey cement bags = 6400 × 5 = Rs 32000

So, According to statement,

There is no profit and loss.

So,

$\rm\implies \:8x - 32000 = 0$

$\rm\implies \:8x = 32000$

$\rm\implies \:x = 4000$

It means, Company should sell 4000 bags of white cement and 6400 bags of grey cement, to have neither profit nor loss.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) or(100-Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$