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      Question

      The price of a commodity was

      first increased by 25% and then decreased by 25%. If the new price of the commodity is Rs. 600, find the original price of the commodity.
      A Rs.640 Correct Answer Incorrect Answer
      B Rs.540 Correct Answer Incorrect Answer
      C Rs.660 Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the original price of the commodity be Rs. '100x'. New price of the commodity = 100x Γ— 1.25 Γ— 0.75 = Rs. '93.75x' So, 93.75x = 600 x = 600 / 93.75 = 6.4 Therefore, the original price of the commodity = 100 Γ— 6.4 = Rs. 640.

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