Discussion of Question with ID = 013 under Profit-and-Loss

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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?


Rs. 450 and 675.


Rs. 550 and 575.


Rs. 400 and 725.


Rs. 225 and 900.

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.

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