Question 136241
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/.2}}}
x = $500 cost of the horse
:
:
Check our solution:
Cow cost = 300
.1(500) - .1(300) = 
50 - 30 = 20