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      Question

      An amount of Rs. 2,100 is divided among D, E, and F in

      the ratio 5:4:6. Find the difference between the amount received by D and E together and E and F together.
      A Rs.140 Correct Answer Incorrect Answer
      B Rs.400 Correct Answer Incorrect Answer
      C Rs.450 Correct Answer Incorrect Answer
      D Rs.335 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the amounts received by D, E, and F be Rs. 5x, Rs. 4x, and Rs. 6x respectively.
      Amount received by D and E = 2100 × (5 + 4) ÷ (5 + 4 + 6) = 2100 × 9 ÷ 15 = Rs. 1260
      Amount received by E and F = 2100 × (4 + 6) ÷ 15 = 2100 × 10 ÷ 15 = Rs. 1400
      Required difference = 1400 - 1260 = Rs. 140

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