Multiple choice

The manufacturing cost of an article was Rs. 1,230. The trader wants to gain 35% after giving a discount of 18%. The marked price should be?

  1. 2025

  2. 2450

  3. 2125

  4. 2480

  5. None
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let MP be the marked price. Selling Price = MP * (1 - 0.18) = 0.82 * MP. Cost Price = 1230. Required gain is 35%, so SP = 1230 * 1.35 = 1660.5. Thus, 0.82 * MP = 1660.5, so MP = 1660.5 / 0.82 = 2025.

AI explanation

To find the marked price, we first calculate the target selling price by adding a 35% profit to the manufacturing cost, so SP = 1230 x 1.35 = 1660.5. The selling price is also the marked price after an 18% discount, meaning SP = 0.82 x MP. Equating the two gives 1660.5 = 0.82 x MP, which results in MP = 2025. The marked price should be 2025.

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