Gems for profit

Algebra Level 4

A jewelry seller is selling two kinds of gems, common blue and rare pink. The seller has €10 000 to buy gems, and each blue stone costs €20 while each pink gem costs €1000. The initial sale prices are €30 for blue and €5000 for pink.

As the seller doesn't have many customers wealthy enough to buy rare pink gems, the pink gem's sale price must be reduced by 20% every time one of them is sold. The blue gem's sale price, however, stays at €30. What is the maximum profit the seller can make?

Note: Profit = income minus expenses. Calculator is allowed.

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