Question

A cement company earns a profit of rs8 per bag of white cement sold and loss of rs5 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 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.

Answer 1

Question :

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

a)The company sells 3,000 bags of white cement and 5000 bags of grey cement in a month.What its porfit or loss ?

b)What is the number of white cement bags it must sell to have niether profit nor loss.If the number of grey bags are sold is 6,400 bags.

Given :

Profit of 1 bag of white cement = Rupee 8 and loss of 1 bag of grey cement = Rupee 5.

Solution :

a) Profit on selling 3000 bags of white cement = 3000 × Rupee 8 = 24000

Loss of selling 5000 bags of grey cement = 5000 × Rupee 5 = 25000

Since Profit < Loss

Therefore,his total loss on selling the grey cement bags = Loss - Profit

= Rupee 25000 - Rupee 24000

= Rupee 1000

Thus,he has lost rupee 1000 on selling the grey cement bags.

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

According to question,

Loss = Profit

•°• 5 × 6400 = x × 8

x = $\sf{ \dfrac{5×6400}{8}=5000 \ bags}$

Additional Iformation :

$\begin{gathered}\begin{gathered} \small\boxed{ \begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{loss \: \% = \Bigg( \dfrac{loss}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{ S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{ C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array} }\end{gathered}\end{gathered}$