Multiple choice

The percentage profit earned by selling an article for Rs. 3840 is equal to the lost incurred by selling the same article for Rs. 2560. At what price should the article be sold to make profit of 32%?

  1. Rs. 4000

  2. Rs. 4090

  3. Rs. 4144

  4. Rs. 4224

  5. Rs. 4334
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP be x. Profit = 3840 - x, Loss = x - 2560. Since they are equal, 3840 - x = x - 2560, so 2x = 6400, x = 3200. To make 32% profit, SP = 3200 * 1.32 = 4224.

AI explanation

Let the cost price be x and the profit percentage be p; the equations are x + (p/100)x = 3840 and x - (p/100)x = 2560. Adding these two equations gives 2x = 6400, so the cost price x is 3200 rupees. To make a 32% profit, the selling price must be 3200 * 1.32 = 4224 rupees.

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