Multiple choice

In an artisanal pottery shop, the craftsman sold a handcrafted vase for Rs. 608 after offering a discount of 20% on its marked price, followed by an additional 5% discount. If he had sold the vase at its full marked price, the profit would have been 25%. What was the original cost price of the vase (in Rs.)?

  1. 480

  2. 608

  3. 640

  4. 800

  5. 1,540

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

Selling Price = 608. Let MP be marked price. MP * 0.8 * 0.95 = 608. MP * 0.76 = 608. MP = 800. If sold at MP, profit is 25%. CP * 1.25 = 800. CP = 800 / 1.25 = 640.

AI explanation

Let the marked price be M; the selling price after successive discounts of 20% and 5% equals 0.8 times 0.95 times M, which equals 0.76M. Substituting the final selling price gives 0.76M equals 608, so M equals 800. Selling at the full marked price gives a profit of 25%, meaning the cost price is 800 divided by 1.25, which is Rs. 640.