Multiple choice

A shopkeeper sells his goods at $10\%$ discount on the marked price. What price should be marked on an article that costs him Rs. $900$ to gain $10\%$?

  1. Rs. $800$
  2. Rs. $900$
  3. Rs. $1000$
  4. Rs. $1100$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost = 900, Profit = 10% of 900 = 90. Selling Price = 990. Marked Price * (1 - 0.10) = 990. Marked Price * 0.9 = 990. Marked Price = 990 / 0.9 = 1100.

AI explanation

To gain 10% on an article costing Rs. 900, the required selling price is 900 * 1.10 = Rs. 990. Let the marked price be M, so applying a 10% discount means the selling price is 0.90M. Setting 0.90M equal to 990 gives M = 990 / 0.90, so the marked price should be Rs. 1100.

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