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Q7 (CISF/2019) Miscellaneous & General Knowledge › Important Days, Places & Events

I had bought a shirt at 10% discount which I sold to a friend at a loss of 10%. If the friend paid me "729-00 for the shirt, what was the undiscounted price of the shirt?

Explanation

Let the undiscounted (marked) price of the shirt be x.

  • Step 1: The shirt was purchased at a 10% discount. Therefore, the Cost Price (CP) for the buyer is:
    CP = x - 10% of x = 0.90x
  • Step 2: The shirt was then sold to a friend at a 10% loss on the purchase price. Therefore, the Selling Price (SP) is:
    SP = CP - 10% of CP = 0.90x × (1 - 0.10) = 0.90x × 0.90 = 0.81x
  • Step 3: We are given that the friend paid "729-00 (₹ 729.00). Setting the equations equal:
    0.81x = 729
    x = 729 / 0.81
    x = 72900 / 81 = 900

The undiscounted price of the shirt was ₹ 900. Thus, option B is the correct answer.

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