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      Question

      A person named 'X' purchased a

      mobile phone and a headphone. He sells the mobile phone at a 20% profit and the headphone at a 10% profit. However, if he were to sell the mobile phone at a 25% profit and the headphone at a 20% profit instead, his total profit would increase by β‚Ή550. What is the ratio of the cost price of the mobile phone to that of the headphone?
      A 5:3 Correct Answer Incorrect Answer
      B 1:4 Correct Answer Incorrect Answer
      C 7:5 Correct Answer Incorrect Answer
      D Cannot be determined Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the cost price of the mobile = 'm' And the cost price of the Headphone = 'h' m Γ— 125/100 + h Γ— 120/100 – (m Γ— 120/100 + h Γ— 110/100) = 550 5m+10h = 55000 m + 2h = 11000

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