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This problem trains for: SAT-I, Math Kangaroo 5-6, GMAT.

Discount: Count Dracula's cape was pierced by moths. Ordinarily, new capes are costly but, luckily, it is after Hallowe'en and vampire attire is discounted by 75%. The count is therefore able to purchase 3 new capes for 2430 thaler. What was the sticker price of a cape before the end-of-season sale?

(character from Bram Stoker's "Dracula")

Each new cape has cost:

equation

Denote the original cost by x. When Count Dracula pays 810 thaler, that represents only 25% of the original cost:

equation

The original sticker price was:

equation