Dealer profit from a batch of goods

Dealer profit from a batch of goods

Secondary 2
10 marks
TGM Original Questions

Optional extension

A dealer spends \(\$600\) on identical items at \($x\) each and plans to sell each for \($(x+5)\). After selling all except 20 items, the receipts equal the original \(\$600\).

  1. Write the number bought and the number sold.[2]
  2. Form an equation in \(x\).[2]
  3. Find the valid cost price.[2]
  4. Find the intended selling price.[2]
  5. If the remaining 20 are sold at a 20% discount from that price, find the overall percentage profit.[2]

Solution:

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Answer:(i) \(\dfrac{600}{x}\) bought, \(\dfrac{600}{x}-20\) sold (ii) \(x^2+5x-150=0\) (iii) \(\(10\) (iv) \(\)15\) (v) \(40\%\).

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