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      Question

      A student had to find 5/12 of a certain number, but he

      mistakenly calculated 3/4 of that number. His answer turned out 90 more than the correct value. Find the number.
      A 270 Correct Answer Incorrect Answer
      B 450 Correct Answer Incorrect Answer
      C 588 Correct Answer Incorrect Answer
      D 320 Correct Answer Incorrect Answer

      Solution

      ATQ, Let the number = x Wrong answer βˆ’ Correct answer = 90 x Γ— 3/4 βˆ’ x Γ— 5/12 = 90 (3/4 βˆ’ 5/12) x = 90 = ((9/12 βˆ’ 5/12)) x = 90 (4/12) x = 90 (1/3) x = 90 x = 90 Γ— 3 = 270 So, the number = 270.

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