How Much C Gets Respectively? if

If ₹ 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets ¼ of what C gets then their shares are respectively-

  1. ₹ 150, ₹ 300, ₹ 60
  2. ₹ 60, ₹ 90, ₹ 360
  3. ₹ 150, ₹ 240, ₹ 120
  4. ₹ 120, ₹ 240, ₹ 150
Monis Rasool Professor Asked on 9th October 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) Rs. 60, Rs. 90, Rs. 360

    Explanation:-
    Let the shares of C = Rs. X

    B gets 1/4 of what C gets,
    Then, the shares of B = X/4

    A gets 2/3 of what B gets,
    Then, the shares of A = X x 2/4 x 3
    = X/6

    Total amount = Rs. 510               (Given in the question)

    Then, X + X/4 + X /6 = 510
    (24 X + 6X + 4 X)/24 = 510
    34 X = 510 x 24
    X = 510 x 24/34
    X = 30 x 12
    X = 360

    Then, the shares of A = X/6 = 360/6 = Rs. 60,   shares of B = X/4 = 360/4 = Rs. 90  & shares of C = X = Rs. 360.

    Hence, the answer is (2) Rs. 60, Rs. 90, Rs. 360.

    Anurag Mishra Professor Answered on 10th October 2015.
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