A man buys two cows for Rs. 1250. He sells one cow at a gain of 6% and other at a loss of 9%. Overall, he neither gains nor loses. Find the cost price of the first cow.

Using the rule of mixture, if two articles are sold at a profit of x% and a loss of y% with no net profit or loss, the ratio of their cost prices is y : x. Here, the profit is 6% and the loss is 9%, so the ratio of the cost prices of the first and second cow is 9 : 6, or 3 : 2. The total cost is Rs. 1250, meaning five total parts equal 1250, so one part is 250. The cost price of the first cow is 3 parts, which is 3 x 250, or Rs. 750. The result is Rs. 750.

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