Bruce paid $360 for a new mountain bike to sell in his shop. He wants to price the bike so that he can offer a 20% markdown but still keep a markup of 30% of the price he paid for it. What should be the full selling price of the bike?

9514 1404 393

  $585

Step-by-step explanation:

Bruce wants 100% +30% of the cost to be 80% of the selling price. So, the selling price (p) is ...

  $360(1.30) = 0.80p

  p = $360·1.30/0.80 = $585

The full selling price of the bike should be $585.

Check

With 20% off, the sale price would be $468. That is 468/360 = 1.30 times the amount Bruce pays for it.