SOLUTION: A man made a profit of P 290 by selling 8 cows and 14 calves at a gain of 25% of what they cost him. Had he sold 14 cows and 8 calves instead at the same percentage of profit, he w

Question 347475: A man made a profit of P 290 by selling 8 cows and 14 calves at a gain of 25% of what they cost him. Had he sold 14 cows and 8 calves instead at the same percentage of profit, he would have gained P400. Find the original cost of each cow and each calf?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Let X = Cost of Cows

Let Y= Cost of Claves

=> 1/4 ( 8X + 14Y ) = 290

=> 8X + 14Y = 1160 ---------- A

=> 1/4 ( 14X + 8Y ) = 400

=> 14X + 8Y = 1600 ----------- B

=> Now try to eliminate one of the unknow values by using common factors

=> Multiply A by 4

=> 4 (8X + 14Y = 4 (1160 )

=> 32X + 56Y = 4640 --------- C

=> Multiply B by 7

=> 7 (14X + 8Y) = 7 (1600)

=> 98X + 56Y = 11200 ------- D

=> D - C

=> ( 98X + 56Y ) - ( 32X + 56Y ) = 11200 - 4640

=> 66X = 6560

=> X = 99.393939......

=> X = 99.40

=> Sub. X = 99.40 into A or any equations from above

=> 8X + 14Y = 1160

=> 8 (99.40) + 14Y = 1160

=> 795.20 + 14Y = 1160

=> 14Y = 1160 - 795.20

=> 14Y = 364.80

=> Y = 364.8 / 14

=> Y = 26.05714...

=> Y = 26.06

Answer: Original Cost for Cows $99.40 each, $26.06 for Calves each.

RELATED QUESTIONS
A man made a profit of 2900 pesos by selling 8 cows and 14 calves at a gain of 25% of... (answered by Theo)

Felix sold a torch so as to gain K85.00 he had made a profit of 62 1/2%.What did the... (answered by robertb)

1.) Dele lost 18% by selling bicycle for #1,230. What percent shall he gain by selling it (answered by Theo)

a man bought an article for 300. by selling it at a discount of 25% he made a profit of... (answered by Theo)

A man bought a horse and sold it at a gain of 25%. If he had bought it at 20% more and... (answered by ewatrrr)

Hi A farm had some cows and goats. 1/5 of the cows and 3/11 of the goats were sold .... (answered by ikleyn)

a person has certain no of cows &birds. they have 172eyes & 344 legs.how meny cows& birds (answered by Edwin McCravy)

Cows cost $10, pigs cost $3 and chickens cost $0.50. A man buys 100 animals for $100. How (answered by ankor@dixie-net.com)

Cows cost $10, pigs cost $3 and chickens cost $0.50. A man buys 100 animals for $100. How (answered by josmiceli)