SOLUTION: A horse and a cow togather cost $800.the horse is sold a a profit of 10% and the cow t loss of 10%.If the total profit of 2.5% is made,what is the cost price of the horse?

Question 136241: A horse and a cow togather cost $800.the horse is sold a a profit of 10% and the cow t loss of 10%.If the total profit of 2.5% is made,what is the cost price of the horse?

Found 2 solutions by solver91311, ankor@dixie-net.com:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Cost of horse:
Cost of cow:
Total cost: , which can be written:

Sell price of horse:
Sell price of cow:
Total sell price:

Total profit of 2.5% means total sell price of , so:

But we know that , so:

So, the cow cost 300 and the horse cost 500. The cow sold for 300-30=270, and the horse sold for 500+50=550. Total revenue: 550+270=820 and 20 is 2.5% profit on 800. Answer checks.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A horse and a cow together cost $800.the horse is sold a a profit of 10% and the cow at a loss of 10%. If the total profit of 2.5% is made,what is the cost price of the horse?
:
Let x = cost of the horse
then
(800-x) = cost of he cow
:
Horse profit = .1x
Cow loss = -.1(800-x)
:
Total profit = .025(800) = 20
:
.1x - .1(800-x) = 20
.1x - 80 + .1x = 20
.2x = 20 + 80
x =
x = $500 cost of the horse
:
:
Check our solution:
Cow cost = 300
.1(500) - .1(300) =
50 - 30 = 20
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