SOLUTION: A man bought two lots for the same price. He sold one at a profit of $3,000 and the other at a loss of $1,500, receiving twice as much for the first lot as for the second. What did

Algebra.Com
Question 38958: A man bought two lots for the same price. He sold one at a profit of $3,000 and the other at a loss of $1,500, receiving twice as much for the first lot as for the second. What did each lot cost?
(this is not from a textbook) Thank You

Found 2 solutions by fractalier, Nate:
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Let x be what he bought the lots for.
He sold the first for x + 3000.
He sold the second for x - 1500.
The problem says the first amount was twice the second, so we have
x + 3000 = 2(x - 1500)
x + 3000 = 2x - 3000
x = $6000

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
Define variable:
x = lot's cost
p = price when sold
Define equations:
3000 = 2p - x
-1500 = p - x
Combine:

+

=

Price when sold is $4,500. Each lot cost him $6000.

RELATED QUESTIONS

A shopkeeper bought two TV sets at Rs 10,000 each. He sold one at a profit 10% and the... (answered by jorel555)
A realtor bought a group of lots for $90,000. He then sells them at a gain of $3,750 per... (answered by ikleyn)
a man bought 8 dozen articles at $1.40$ each, he sold 40 of them at a profit of 20%,35 at (answered by Theo)
a man bought some apples for $5 per apple. he bought the same number of banana s for $2... (answered by josmiceli)
Tim bought a tennis racket for $320 and a sports bag for $200. Then he sold the racket at (answered by ikleyn)
Martha's millinery sold two evening gowns at the same price. Based on their cost, the... (answered by Boreal)
Mr. Lee bought two identical TV sets. He sold one at a profit of 25 % on cost and the... (answered by Alan3354)
Mr Lee bought two identical television sets.He sold one at a profit of 25% on cost and... (answered by Alan3354)
A trader sells two T-shirts at $48 each. She gains 25% on the cost price for one T-shirt... (answered by MathTherapy)