Cost Price from Profit and Loss Equations

CAT 2019 Slot 1 · QA · Easy · Profit & Loss

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On selling a pen at 5%5\% loss and a book at 15%15\% gain, Karim gains Rs. 7. If he sells the pen at 5%5\% gain and the book at 10%10\% gain, he gains Rs. 13. What is the cost price of the book in Rupees?

  1. A.

    80

  2. B.

    85

  3. C.

    100

  4. D.

    95

Answer

A

Explanation

Let cost of pen be PP and book be BB. −0.05P+0.15B=7-0.05P + 0.15B = 7 0.05P+0.10B=130.05P + 0.10B = 13 Adding the two equations: 0.25B=20  ⟹  B=800.25B = 20 \implies B = 80.

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