Q.11 A cement company earns a profit of Rs. 8 per bag of white cement sola and a loss of Rs. 5 per bag of grey cement sold. (a) Th

Q.11 A cement company earns a profit of Rs. 8 per bag of white cement sola 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.​

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  1. [tex]\sf\small\underline\purple{Given:-}[/tex]

    ( a ) Profit gained by 1 bag of white cement = Rs 8

    Loss of 1 bag of grey cement = Rs 5

    (i) Profit from selling 3000 white cement bags = Rs 3000×8 = 24000

    (ii) Loss from selling 5000 grey cement bags = Rs 5000×5= 25000

    since 24000<25000

    profit <loss

    Therefore, his total loss on selling the grey cement bags = loss − profit

    = 25000−24000 = 1000

    Thus, company has lost of Rs 1000 on selling the grey cement bags.

    ★_________________________★

    ( b )Let the no. of white cement bags be ‘x’

    According to the question

    Loss = Profit

    Therefore,

    [tex]5 \times 6400 = x \times 8[/tex]

    [tex] = \frac{5 \times 6400}{8} [/tex]

    x=\ 4000x= 4000

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