The 20% profit amounts to $80 000 x 20 / 100 = $16 000. The 5% commission amounts to $80 000 x 5 / 100 = $4 000. So the selling price is $80 000 + $16 000 + $4 000 = $100 000.
The answer: 100000
Reverse engineering the question: Mrs. Choi purchased a house for $80000. Five years later, she sold it for a 20% profit and got a 5% broker's commission from the original price. How much did the house sell for?


Reasoning and answer: Let X be the price of the first commodity, so the price of the second commodity is X - $127. The cost of purchasing two of them is X + (X - $127) = $827. Combining like terms, we get X * 2 - $127 = $827. Subtracting $137 from both sides, we get X * 2 = $954. Dividing both sides by 2, we get X = $477.
The answer: 477
What was the question?
Question: The cost of purchasing two commodities is $827. If the purchase price of the first one exceeds the other by $127, what is the purchase price of the first commodity?


The second patient needs 6 + 5 = 11 sessions. The first two patients need 6 + 11 = 17 sessions total. 25 - 17 = 8 sessions.
The answer: 8
Reverse engineering the question: A psychiatrist has 4 patients that need 25 sessions in total. One of the patients needs 6 sessions. Another patient needs 5 more than that. How many sessions would the remaining patients need?


Reasoning and answer: Bill throws 10 + 6 = 16 sticks into the river. Bill throws 10 / 2 = 5 rocks into the river. Bill throws 16 + 5 = 21 objects in total into the river.
The answer: 21
What was the question?
Question: Bill and Ted head to the river to throw stuff into the water. Bill throws 6 more sticks into the river than Ted does, but Ted tosses twice as many rocks into the river as Bill. If Ted tosses 10 sticks and 10 rocks into the river, how many objects did Bill toss into the river?


Twice the speed of the bald eagle is 100 * 2 = 200 miles per hour. Let "x" be the time in seconds it takes the peregrine falcon to travel to the ground. Thus, based on the ratio of their speeds, the following expression is given: x = 30 * (100 / 200). Thus, x = 15 seconds.
The answer: 15
Reverse engineering the question: The bald eagle can dive at a speed of 100 miles per hour, while the peregrine falcon can dive at a speed of twice that of the bald eagle.  Starting from the same treetop, if it takes the bald eagle 30 seconds to dive to the ground, how long, in seconds, will it take the peregrine falcon to dive the same distance?


There are 23 * 4 = 92 seats on this bus. After the first stop, there are 16 + 15 - 3 = 28 people on the bus. After the 2nd stop, there are 28 + 17 - 10 = 35 people on the bus. So there are 92 - 35 = 57 empty seats on the bus after the 2nd stop.
The answer: 57
Reverse engineering the question:
The seats of a bus are arranged in 23 rows of 4 seats. At the start, 16 people climb. At the first stop, 15 people board the bus and 3 get off. At the second stop, 17 people get on the bus and 10 get off. How many empty seats are there after the second stop?