High School

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A milkman buys two cows for Rs. 3000. He sells the first cow at a profit of 22% and the second cow at a loss of 8%. What is the selling price (SP) of the second cow if there is no profit or loss in the entire transaction?

Answer :

To find the SP of the second cow, we calculate it based on no overall profit or loss, considering the sale of the first cow at 22% profit and the initial combined cost price of Rs. 1140.

Calculate the selling price of the second cow after the milkman sells the first cow at a profit and the second cow at a loss to break even.

Let's calculate the cost of the two cows bought by the milkman:

  1. Cost of first cow = 3000 * (1/2) = Rs. 1500
  2. Cost of second cow = 3000 * (1/2) = Rs. 1500

Next, let's calculate the selling prices:

  1. SP of first cow = 1500 + 1500 * 0.22 = Rs. 1830
  2. Let x be the SP of the second cow: 1500 - 1500 * 0.08 + x = 1830
  3. Solving for x, we get x = Rs. 1140

Therefore, the selling price of the second cow is Rs. 1140.


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