CAT 2024 Slot 2 QA Q7 Percentages & Profit-Loss

Question 7 of the Quantitative Ability (QA) section, CAT 2024 Slot 2, with CAT's official answer and a worked solution.

Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have obtained 17% profit. Then, the profit, in rupees, made by Shyam is

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

Answer: 2160 Percentages & Profit-Loss TITA

Solution

  1. Bina's cost price \(= \frac{4860}{0.81} = 6000\).
  2. Hari's purchase price gives Bina 17% profit: \(1.17 \times 6000 = 7020\).
  3. Shyam bought at 4860 and sold at 7020, so his profit \(= 7020 - 4860 = 2160\).

Same concept in other years

See every question on Successive resales: multiply the profit and loss factors along the chain.

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