Multiple choice

By giving a discount of $10\% $ on the marked price of Rs. $ 1100 $ of a cycle, a dealer gains $10\%$. The cost price of the cycle is

  1. Rs. $ 1100$
  2. Rs. $ 900$
  3. Rs. $ 1089$
  4. Rs. $ 891$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Marked price = 1100. Discount = 10% of 1100 = 110. Selling price = 1100 - 110 = 990. Gain = 10%. Cost price = SP / (1 + gain%) = 990 / 1.1 = 900.

AI explanation

A 10% discount on the marked price of Rs. 1100 results in a selling price of 1100 * 0.90 = Rs. 990. Because the dealer makes a 10% profit at this selling price, 990 represents 110% of the cost price. Using the formula Cost Price = (Selling Price / 1.10), the calculation is 990 / 1.10, making the cost price Rs. 900.

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