Multiple choice

What price should Alka mark. on a dress which cost her Rs. $ 4000$ so as to gain $20 \%$ after allowing a discount of $20 \%$?

  1. Rs. $ 5000$
  2. Rs. $ 6000$
  3. Rs. $7000$
  4. Rs. $  8000$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let marked price be M. Selling price = 0.8M. Profit = 20% of cost = 0.2 * 4000 = 800. Selling price = 4000 + 800 = 4800. 0.8M = 4800, so M = 6000.

AI explanation

Using the marked price formula to achieve a desired profit after a discount, MP = (Cost Price * (100 + Profit%)) / (100 - Discount%). Substituting the given values gives MP = (4000 * 120) / 80. Solving this gives 480000 / 80, making the marked price Rs. 6000.

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