Multiple choice

A man sells his cow at a 15% loss. Had he sold it at Rs. 1200 more, he would have made a gain of 5%. Find the cost price of the cow.

  1. Rs. 6000

  2. Rs. 5000

  3. Rs. 4500

  4. Rs. 4000

  5. Rs. 3000
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A Correct answer
Explanation

Let the cost price be C. A 15% loss means selling price is 0.85C, and a 5% gain means 1.05C. The difference is 1.05C - 0.85C = 0.20C = 1200. Thus, C = 1200 / 0.20 = 6000.

AI explanation

Let the cost price of the cow be C; selling at a 15 percent loss sets the price at 0.85C, while a 5 percent gain sets the price at 1.05C. The difference between these two selling prices is Rs. 1200, so 1.05C - 0.85C = 1200. This simplifies to 0.20C = 1200, meaning the cost price is Rs. 6000.

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