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      Question

      ‘X’ sold an item to ‘Y’ at 25% profit, who then

      sold it to ‘Z’ at a profit of Rs. 60. If the difference between cost price of the item for ‘Z’ and cost price for ‘X’ is Rs. 95, then find the profit earned by ‘X’.
      A 78 Correct Answer Incorrect Answer
      B 59 Correct Answer Incorrect Answer
      C 35 Correct Answer Incorrect Answer
      D 39 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost price of the item for ‘X’ be Rs. 100x

      So, cost price for ‘Y’ = 100x × 1.25 = Rs. 125x

      So, cost price for ‘Z’ = Rs. (125x + 60)

      ATQ:

      125x + 60 - 95 = 100x

      Or, 25x = 35

      Or, x = 35 ÷ 25 = 1.4

      So, selling price for ‘X’ = 100 × 1.4 = Rs. 140

      Profit earned by ‘X’ = 140 × 0.25 = Rs. 35

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