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### Question

The total cost of two cows is Rs. 230. The owner sells the first cow at a profit of 50%, and the second one at a loss of 20%. If he sells them at the same price, what are the costs of the two cows?

**A**

Rs. 80 and 150.

**B**

Rs. 180 and 50.

**C**

Rs. 30 and 200.

**D**

Rs. 40 and 190.

**Soln.**

**Ans: a**

Let the costs of the cows be C and 230 - C. The sale price is given as same. So (100 + 50) × C = (100 - 20) × (230 - C). Simplifying, we get 150 × C = 80 × (230 - C). Solving for C we get, C = Rs. 80. The cost of the other cow is 230 - 80 = Rs. 150.