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Discussion :: Ratio and Proportion

  1. The ratio of the salary of A and B, one year ago is 3: 2. The ratio of original salary to the increased salary of A is 2: 3 and that of B is 3: 4. The total present salary of A and B together is Rs. 21500. Find the salary of B.

  2. A.
    6000
    B.
    7000
    C.
    8000
    D.
    9000

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    Answer : Option C

    Explanation :

    The initial ratio of A and B is 3: 2

    Increased salary of A is 2: 3 that means if it was 2 then it becomes 3.
    i.e., if it was 2, it becomes 3
    Or, 1 becomes 3/2
    But the A's ratio was 3, so we have to calculate for 3
    3 becomes (3/2) * 3 = 9/2 = 4.5
    Similarly, B?s increase is 3: 4
    3 becomes 4
    Or, 1 becomes 4/3
    But the B's ratio was 2, so we have to calculate for 2
    i.e., 2 become (4/3)* 2 = 8/3

    That means if the old ratio of A: B = 3: 2
    Then the new ratio of A: B = 4.5: 8/3
    So, the new ratio of A: B = 13.5: 8
    Now, the salary of B = (B's share/ Sum of ratios)* total salary
    Hence, the salary of B = (8/21.5) * 21500 = 8000


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