WAEC 2020 Mathematics · Question 36

Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales?

Options

  1. A.₦(xy + 10)
  2. B.₦(x + 10y)
  3. C.₦(10x + y)
  4. D.₦10(x + y)

Answer: D. ₦10(x + y)

Explanation written with AI and checked against the answer key

Analyze the question Fati buys each tin at a cost price of ₦x. She sells each tin at a profit of ₦y. We need the total amount she receives from selling 10 tins.

Concept Selling price = Cost price + Profit

Solution

  1. Selling price of one tin = cost price + profit = ₦(x + y)
  2. Amount received from 10 tins = 10 × (x + y) = ₦10(x + y)

Checking the options

  • A. ₦(xy + 10) multiplies x and y, which makes no sense here.
  • B. ₦(x + 10y) is the cost of one tin plus the profit on 10 tins, so it is not the total sales.
  • C. ₦(10x + y) is the cost of 10 tins plus the profit on only one tin, so it is wrong.
  • D. ₦10(x + y) is the selling price of one tin multiplied by 10, which is correct.

Tip: "Receives from sales" means the total selling price, so always compute the selling price per item (cost + profit) first, then multiply by the number of items. Note that the total received is not the same as the total profit, which would be only ₦10y.

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