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      Question

      The total number of cars to the total number of bikes

      in Showrooms P and Q is in the ratio 60:17. Additionally, the number of bikes in Showroom P to those in Showroom Q is in the ratio 5:3. Given that the total number of cars across both showrooms is 600, determine the approximate difference in the number of bikes between Showroom P and Showroom Q.
      A 65 Correct Answer Incorrect Answer
      B 18 Correct Answer Incorrect Answer
      C 26 Correct Answer Incorrect Answer
      D 43 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Total cars : total bikes = 60 : 17

      Total cars = 600

      So total bikes = (17/60) Γ— 600 = 170

      Ratio of bikes in Showroom P : Q = 5 : 3

      Difference = 170 Γ— (5βˆ’3)/(5+3) = 42.5 (rounded to 43)

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