Multiple choice

An article was sold for Rs. y after giving a discount of x%. Then, its Marked price is :

  1. $\displaystyle \frac{100 y}{100 - x}$
  2. $\displaystyle \frac{100 y}{1 - x}$
  3. $\displaystyle \frac{100 y}{1 - (x/100)}$
  4. None of these

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A Correct answer
Explanation

Marked Price (MP) - Discount = Selling Price (y). Discount = (x/100) * MP. So, MP - (x/100) * MP = y. MP(1 - x/100) = y. MP((100-x)/100) = y. MP = 100y / (100-x).

AI explanation

The selling price equals the marked price minus the discount, where the discount is the marked price multiplied by x divided by 100. This gives y equal to the marked price multiplied by the quantity 1 minus x divided by 100. Solving for the marked price results in 100 y divided by the quantity 100 minus x.