Question

9. Loss is denoted by a negative integer and profit is denoted by a positive integer. A cement
company earns a profit of 8 per bag of white cement sold and a loss of 5 per bag of grey cem
sold.
(i) The company sells 3000 bags of white cement and 5000 bags of grey cement in a month.
ment 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 in the
number of grey bags sold in the quarter is 6400 bags ?
n
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Answer 1

Answer:

(i)

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

Cement company earns a profit on selling 3000 bags of white cement = 3000 × ₹ 8  = ₹ 24000

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

Loss on selling 5000 bags of grey cement = 5000 × – ₹ 5  = – ₹ 25000

Total loss or profit earned by the cement company = profit + loss

= 24000 + (-25000)

= – ₹1000

∴Thus, a loss of ₹ 1000 will be incurred by the company.

(ii)

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

= 8x = 32000

= x = 32000/8

= x = 4000

∴Hence, the 4000 bags of white cement have neither profit nor loss.