Multiple choice

Arun has two watches of the same cost. He sold one of his watches for Rs. 1,680 at a profit and the other one for Rs. 1,512 at a loss. Determine the cost price of each watch, if he had no profit no loss.

  1. Rs. 1,596

  2. Rs. 1,590

  3. Rs. 1,586

  4. Rs. 1,610

  5. Rs. 1,616
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A Correct answer
Explanation

Let the cost price of each watch be C. The selling prices are 1680 and 1512. Since there is no profit or loss, the total cost price equals the total selling price: 2C = 1680 + 1512 = 3192. Thus, C = 1596.

AI explanation

Arun has no profit and no loss overall, so the total selling price equals the total cost price of the two watches. The sum of the selling prices is 1680 plus 1512, which equals 3192 rupees. Because both watches have the same cost price, the cost price of each watch is 3192 divided by 2, giving 1596. The result is Rs. 1,596.

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