Multiple choice

A profit of 20% is made after giving a discount of 15% on an article. If the marked price of the article is Rs. 2760, then what is its cost price (in Rs)?

  1. 1955

  2. 2150

  3. 1845

  4. 1890
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A Correct answer
Explanation

Let CP = x. Marked Price = 2760. Discount = 15%, so SP = 0.85 * 2760 = 2346. Profit = 20%, so SP = 1.2 * CP. 1.2 * CP = 2346, so CP = 2346 / 1.2 = 1955.

AI explanation

Using the formula Cost Price = Marked Price * (100 - Discount) / (100 + Profit), we substitute the given values. Cost Price = 2760 * (100 - 15) / (100 + 20). This simplifies to 2760 * 85 / 120, which equals 1955. The cost price is Rs. 1955.

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