RS 600 is divided among 3 persons(A,B,C). So that RS 40 is more than that of…

2024

RS 600 is divided among 3 persons(A,B,C). So that RS 40 is more than that of 2/5 of A's share and RS 20 is more than that of 2/7 of B's share and RS 10 is more than that of 9/17 of C's share may be equal. Find shares of A's?

  1. A.

    150

  2. B.

    170

  3. C.

    200

  4. D.

    280

Attempted by 65 students.

Show answer & explanation

Correct answer: A

Solution: Let k be the common value.

  1. Set the equal expressions: 2/5 of A plus 40 = k, 2/7 of B plus 20 = k, and 9/17 of C plus 10 = k.

  2. Express A, B, C in terms of k: A = (5/2)(k - 40), B = (7/2)(k - 20), C = (17/9)(k - 10).

  3. Use the total A + B + C = 600 and substitute: (5/2)(k - 40) + (7/2)(k - 20) + (17/9)(k - 10) = 600.

  4. Simplify the equation: combine terms to get (71/9)k - (1700/9) = 600, so 71k - 1700 = 5400 and 71k = 7100. Therefore k = 100.

  5. Now compute A: A = (5/2)(100 - 40) = (5/2) * 60 = 150. Thus A's share is 150.

Answer: 150

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