Multiple choice

The selling price of a product is fixed to ensure 30% profit. If the product had cost 25% less and had been sold for 250 rupees less, then the resulting profit would have been 40%. The original selling price, in rupees, of the product is

  1. 1000

  2. 1200

  3. 1300

  4. 1500

  5. a

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the cost price be x and selling price be 1.3x. The new cost price is 0.75x and the new selling price is 1.3x - 250. Given the new profit is 40%, we have (1.3x - 250) = 1.4 * (0.75x), which simplifies to 1.3x - 250 = 1.05x. Solving for x gives 0.25x = 250, so x = 1000, and the original selling price is 1.3 * 1000 = 1300.

AI explanation

Let the original cost price be x; the original selling price to ensure a 30% profit is 1.3x. A 25% reduction in cost makes the new cost price 0.75x. Selling for 250 rupees less gives a new selling price of 1.3x - 250, which yields a 40% profit on the new cost: 1.3x - 250 = 1.4 * 0.75x. Solving 1.3x - 250 = 1.05x gives 0.25x = 250, so x = 1000. The original selling price is 1.3 * 1000 = 1300 rupees.