Cost Price of 2 cats are $30,000. By selling 1 at a loss of 15% and other at a profit of 19%, he found that SP of both cats is the same. Find the CP of each?	Choose the correct choice from the following:  A) $10,000  B) $10,200  C) $11,800  D) $12,100  E) $12,500
Let the C.P of 1st buffalo = x   ∴C.P of 2nd buffalo = 30,000 - x   S.P of 1st buffalo = ( 100 - loss% )   ------------------- x C.P   100   S.P = 100 - 15x   -----------= 85x/ 100   100   S.P of 2nd buffalo = ( 100 - Profit%)   --------------------- x C.P   100   S.P = (100 + 19)(30,000- x) 119(30,000 -x)   -------------------- = ----------------   100 100   S.P of 1st buffalo = S.P of 2nd buffalo   85x/ 100 = 119 ( 30,000 - x)/ 100   ⇒ 85x = 119(30,000 - x)   ⇒ 85x = 3,570,000 - 119x   ⇒ 85x + 119 x = 3,570,000   ⇒ 204x = 3,570,000   ⇒ x = 3,570,000 / 204   ⇒ x = $17,500   C.P of 1st buffalo = $17,500   C.P of 2nd buffalo = 30,000 - 17,500 = $12,500   $12,500
<result>E</result>
Cost Price of 2 cats are $30,000. By selling 1 at a loss of 15% and other at a profit of 19%, he found that SP of both cats is the same. Find the CP of each?