Juli purchases an old car at successive discounts of 10% and 20%. She invests 10% of the cost price in repairing the car and sells it at a profit of 15%. If the printed price of the car is $25,000, then what is the selling price of the car?

Using the equivalent discount formula for successive discounts of 10% and 20% gives a total discount of 28%, meaning Juli's cost price is 72% of the printed price, which is 25000 times 0.72 or 18000. She then invests 10% of this cost on repairs, making her total effective cost 18000 times 1.10 which equals 19800. To earn a 15% profit on this effective cost, she must sell the car for 19800 times 1.15. The final selling price is $22,770.

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