0

This seems simple, but I'm struggling to find the answer...

How much should I sell my apple for if I want to achieve the desired profit?

  • Cost for me to buy the apple (A) = £10
  • Desired profit (B) = £3
  • Final customer price fee (C) = 10%

1 Answers1

3

$x = $ selling price.

$$10 + 3 + 0.10 \times x = x \iff 0.9 x = 13 \iff x = \dfrac {13}{0.9} \approx £\, 14.44$$

amWhy
  • 209,954
  • So how do I find x without knowing what it is? – Eurig Jones Dec 14 '13 at 20:06
  • See above: You have one variable, which appears in an equation: one equation, one unknown. Gather all terms with $x$ to one side, all constants remain on one side: $$10 + 3 + 0.10 \times x = 1\cdot x \iff 10 + 3 + 0.10 x - 0.10 x = 1\cdot x - 0.10 x \iff (1-0.1) x = 13 \iff 0.9 x = 13 \cdots$$ – amWhy Dec 14 '13 at 20:09
  • This's the first time I see the symbol £ on my keyboard. I never used it before;-)+1 –  Dec 14 '13 at 21:55
  • @amWhy: Short and sweet +1 – Amzoti Dec 15 '13 at 00:22