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?

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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) About Me  (Show Source):
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Cost of horse: h
Cost of cow: c
Total cost: h+%2B+c+=+800, which can be written: h=800-c

Sell price of horse: h+%2B+.1h
Sell price of cow: c+-+.1c
Total sell price: %28h%2B.1h%29%2B%28c-.1c%29

Total profit of 2.5% means total sell price of 800+%2B+.025%2A800=820, so:

%28h%2B.1h%29%2B%28c-.1c%29=820
1.1h%2B.9c=820

But we know that h=800-c, so:
1.1%28800-c%29%2B.9c=820

880-1.1c%2B9c=820
-.2c=-60
c=300

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) About Me  (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 = 100%2F.2
x = $500 cost of the horse
:
:
Check our solution:
Cow cost = 300
.1(500) - .1(300) =
50 - 30 = 20