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### Question

The total cost of two cows is Rs. 1125. The owner sells the first cow at a profit of 35%, and the second one at a loss of 10%. If he sells them at the same price, what are the costs of the two cows?

**A**

Rs. 450 and 675.

**B**

Rs. 550 and 575.

**C**

Rs. 400 and 725.

**D**

Rs. 225 and 900.

**Soln.**

**Ans: a**

Let the costs of the cows be C and 1125 - C. The sale price is given as same. So (100 + 35) × C = (100 - 10) × (1125 - C). Simplifying, we get 135 × C = 90 × (1125 - C). Solving for C we get, C = Rs. 450. The cost of the other cow is 1125 - 450 = Rs. 675.