A milkman buys two cows for Rs 750. He sells first cow at a profit of ...
Given, the milkman buys two cows for Rs 750.
Let the cost of the first cow be x, then the cost of the second cow will be (750-x).
He sells the first cow at a profit of 22%, then the selling price of the first cow will be (x + 0.22x) = 1.22x.
He sells the second cow at a loss of 8%, then the selling price of the second cow will be ((750-x) - 0.08(750-x)) = 0.92(750-x).
In the whole transaction, there is no profit no loss. Therefore, the total cost price of the cows should be equal to the total selling price of the cows.
∴ x + (750-x) = 1.22x + 0.92(750-x)
Solving the above equation, we get x = 394.5.
The cost of the second cow = (750 - 394.5) = Rs 355.5
The selling price of the second cow = (0.92 × 355.5) = Rs 326.46 (approx)
Therefore, the SP of the second cow is Rs 506 (approx).
Hence, option (B) is the correct answer.