Broken stock and target profit

Broken stock and target profit

Secondary 2
TGM Original Questions

A trader spends \(\$540\) on identical vases at \($x\) each. Six break. Every remaining vase is sold for \($(x+3)\), producing a total profit of \(\$108\).

  1. Write the number of vases bought.
  2. Write the total sales receipt.
    1. Form an equation in \(x\) and reduce it to a quadratic.
    2. Solve it and reject the inadmissible root.
  4. Find the number of vases sold.

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(\frac{540}{x}\); (b) \((\frac{540}{x}-6)(x+3)\); (c)(i) \((\frac{540}{x}-6)(x+3)=648\), so \(x^2+21x-270=0\); (ii) \(x=9\); (d) \(54\).

Need help? Join our JC Math tuition classes.

Learn more