Question

A cement company earns a profit of 9 per bag of white cement sold and a loss o
5 per bag of grey cement sold.

(ii) What is the number of white cement bags it must sell to have neither profit
loss, if the number of grey bags sold is 5400.​

Answer 1

Answer:

27000

Step-by-step explanation:

Profit on white cement bag =Rs.+9

Loss on grey cement bag =Rs.−5

Loss on 1 bag of grey cement =Rs.−5

Loss on 5400 bag of grey cement =(−5)×5400=Rs.−27000

Let the number of bags of white cement be x.

Profit on 1 bag of white cement =Rs.+9

Profit on x bags of white cement =Rs.+9x

Now, Total profit/loss =0

⇒ Total profit + Total loss =0

⇒9x+(−27000)=0

⇒9x=27000

⇒x=

9

27000

⇒x=3000

∴ Number of white bags sold =3000

Answer 2

Answer:

3000 white bags of cement will be sold.

Step-by-step explanation:

Profit on white cement bag =Rs.+9

Loss on grey cement bag =Rs.−5

Loss on 1 bag of grey cement =Rs.−5

Loss on 5400 bag of grey cement =(−5)×5400=Rs.−27000

Let the number of bags of white cement be x.

Profit on 1 bag of white cement =Rs.+9

Profit on x bags of white cement =Rs.+9x

Now, Total profit/loss =0

⇒ Total profit + Total loss =0

⇒9x+(−27000)=0

⇒9x=27000

⇒x=  9 /27000

​ ⇒x=3000

∴ Number of white bags sold =3000

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