Zack buys 12 shirts and then plans to sell them at a discount of 20%. After selling 8 shirts, he offers another discount of 20% on the discounted price for the remaining shirts, and he gets a total of $2,688. In the whole transaction, he makes a profit of 20%. If he had not given any discount, what percent of profit would he have earned?

Zack's total cost price is calculated by noting his total revenue of \$2,688 yields a 20% profit, so his cost is 2688 divided by 1.20, which is \$2,240. The selling price for the first 8 shirts is 0.80P, and for the remaining 4 shirts it is 0.64P, giving the equation 8(0.80P) + 4(0.64P) = 2688, or 8.96P = 2688. Solving for P gives the marked price per shirt as \$300. If no discount was given, the total selling price for 12 shirts would be \$3,600, and comparing this to the cost price of \$2,240 gives a profit of \$1,360. The profit percentage without any discount is (1360/2240) multiplied by 100, which equals 60.71%.

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