CAT 2025 Slot 1 QA Q16 Percentages & Profit-Loss

Question 16 of the Quantitative Ability (QA) section, CAT 2025 Slot 1, with CAT's official answer and a worked solution.

A shopkeeper offers a discount of 22% on the marked price of each chair, and gives 13 chairs to a customer for the discounted price of 12 chairs to earn a profit of 26% on the transaction. If the cost price of each chair is Rs 100, then the marked price, in rupees, of each chair is

TITA: type in the answer. There are no options and no negative marking.

Answer: 175 Percentages & Profit-Loss TITA

Solution

  1. Cost of 13 chairs \(= 1300\); a \(26\%\) profit means revenue \(= 1638\).
  2. Revenue \(= 12 \times 0.78M = 9.36M\).
  3. \(M = \frac{1638}{9.36} = 175\).

Same concept in other years

See every question on Marked price, discount and profit: MP × (1 − d) = CP × (1 + p).

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