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      Question

      In a classroom, the ratio of the number of left-handed to

      right-handed students is 5:6. When 10 more students of each type join, the ratio changes to 15:16. Find the original number of right-handed students.
      A 4 Correct Answer Incorrect Answer
      B 8 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 6 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the original number of left-handed and right-handed students be ‘5x’ and ‘6x’, respectively.

      ATQ;

      (5x + 10) / (6x + 10) = (15/16)

      Or, 16 × (5x + 10) = 15 × (6x + 10)

      Or, 80x + 160 = 90x + 150

      Or, 10x = 10

      Or, x = 1

      So, the number of right-handed students originally = 6 × 1 = 6

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