Dealer profit from a batch of goods

Dealer profit from a batch of goods

Secondary 2
TGM Original Questions

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

Solution:

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

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