Question 3 - Figure it out - Page 39 - Chapter 2 Class 7 - Operations with Integers (Ganita Prakash II)

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Question 3 - Page 173 A cement company earns a profit of ₹8 per bag of white cement sold and a loss of ₹5 per bag of grey cement sold. [Represent the profit/ loss as integers.] (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?Here, we donate Profit by + Loss by − Given Profit on white cement = Rs +8 Loss on grey cement = Rs −5 White cement Number of white cement bags sold = 3000 Profit on white cement bags = 3000 × Rs 8 = 3000 × 8 = Rs 24,000 Grey cement Number of grey cement bags sold = 5000 Loss on grey cement bags = 5000 × Rs −5 = 3000 × −5 = Rs −15,000 Now, Total profit / loss = Total profit + Total loss = 24000 + (−25000) = 24000 − 25000 = −(−24000 + 25000) = −(25000 − 24000) = −1000 ∴ Total loss of Rs 1000 Question 3 - Page 173 A cement company earns a profit of ₹8 per bag of white cement sold and a loss of ₹5 per bag of grey cement sold. (b) If the number of bags of grey cement sold is 6,400 bags, what is the number of bags of white cement the company must sell to have neither profit nor loss Since we need to sell at neither profit nor loss ∴ Total profit = 0 Now, Number of grey bags sold = 6,4000 Let Number of white bags sold = x Finding Profit of each bag White cement Number of white cement bags sold = x Profit on white cement bags = x × Rs 8 = Rs 8x Grey cement Number of grey cement bags sold = 6,400 Loss on grey cement bags = 6,400 × Rs −5 = 6400 × −5 = Rs −32,000 Now, Total profit = 0 8x + (−32000) = 0 8x − 32000 = 0 8x = 32000 x = 𝟑𝟐𝟎𝟎𝟎/𝟖 x = 4000 ∴ Number of bags of white cement = x = 4000