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      Question

      A gadget is marked at Rs. 1000. It is sold at a 30% profit.

      The difference between the marked price and selling price is 35% of the difference between marked price and cost price. What was the cost price?
      A Rs.920 Correct Answer Incorrect Answer
      B Rs.520 Correct Answer Incorrect Answer
      C Rs.684 Correct Answer Incorrect Answer
      D Rs.650 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,
      Let the cost price be Rs. 100x

      Then selling price = Rs. 100x Γ— 1.30 = Rs. 130x

      ATQ,

      (1000 - 130x) = (1000 - 100x) Γ— 0.35

      Or, 1000 - 130x = 350 - 35x

      Or, 650 = 95x

      So, x = 6.84

      So, cost price = Rs. 100 Γ— 6.84 = Rs. 684

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