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      Question

      In an examination, Aman secured

      40% more marks than Bittu, while Bittu scored  less than Charu. If the combined marks of Aman and Dinesh total 60, determine the difference in marks between Bittu and Charu, knowing that Charu obtained 12.5% more marks than Dinesh.
      A 10 Correct Answer Incorrect Answer
      B 18 Correct Answer Incorrect Answer
      C 16 Correct Answer Incorrect Answer
      D 12 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let marks of B = 5x So, marks of A = 5x × 1.4 = 7x B got 44(4/9)% less than C → B = C × (5/9) ⇒ C = 5x × (9/5) = 9x C got 12.5% more than D → C = D × (9/8) ⇒ D = 9x × (8/9) = 8x Now, A + D = 60 ⇒ 7x + 8x = 60 ⇒ 15x = 60 ⇒ x = 4 Difference between C and B = 9x – 5x = 4x = 4 × 4 = 16

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