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A developer purchased two 135-front-foot lots for 22,900 net each and divided them into three lots of equal front footage. The developer sold the lots for 230 per front foot. Calculate the developer's percentage of profit (round to the nearest whole percentage point).

1) 28%
2) 30%
3) 32%
4) 34%

1 Answer

5 votes

Final answer:

To calculate the developer's percentage of profit, divide the total revenue by the total cost and multiply by 100. The developer's percentage of profit is 68%.

Step-by-step explanation:

To calculate the developer's percentage of profit, we first need to determine the total cost of the two 135-front-foot lots. The developer purchased each lot for $22,900 net, so the total cost is 2 * $22,900 = $45,800.

Next, the developer divided the lots into three equal front footage lots, so each lot has a front footage of 135/3 = 45 feet.

The developer then sold the lots for $230 per front foot. Since each lot has a front footage of 45 feet, the selling price of each lot is 45 * $230 = $10,350.

To calculate the profit, we subtract the total cost from the total revenue: $10,350 * 3 - $45,800 = $31,050.

Finally, we calculate the profit percentage by dividing the profit by the total cost and multiplying by 100: $31,050 / $45,800 * 100 = 67.81%. Rounding to the nearest whole percentage point, the developer's percentage of profit is 68% (option 5).

User Naveen Yedugani
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