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Bunuel
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sayan640
Is this question legit ? Is this verbiage correct --- "............$120,000 profit from the purchase and sale of the house.."­ ?
I think the statement that he made profit from both purchase and sale is a bit problematic ? Can you please post your explanation ? Bunuel
­Yes, that wording effectively expresses the meaning.

The point is that he first purchased and then sold the house and that, in making those two moves, he made a profit of $120,000.
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Deconstructing the Question

The house was sold for 25% more than the purchase price.
The profit equals the increase over the purchase price.
Thus the profit represents 25% of the purchase price.

Step-by-step

Let purchase price be P.

Profit:

\(0.25P\)

Given:

\(0.25P = 120000\)

Solve:

\(P = \frac{120000}{0.25}\)

\(P = 480000\)

Selling price:

\(1.25 \times 480000\)

\(= 600000\)

Answer: 600000
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