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    Divide Rs.1,162 among A, B and C in the ratio of 35: 28:20.
    Question

    Divide Rs.1,162 among A, B and C in the ratio of 35: 28:20.

    A.

    A=Rs.512, B=Rs.385 and C = Rs.265

    B.

    A=Rs.490, B = Rs.392 and C = Rs.280

    C.

    A=Rs.512, B = Rs.365 and C = Rs.285

    D.

    A=Rs.450, B = Rs.425 and C = Rs.327

    Correct option is B

    Given:

    Total amount to be divided = Rs. 1,162
    Ratio of amounts for A, B, and C = 35:28:20
    Solution:

    Calculate the Total of the Ratios:

    The total of the ratios 35, 28, and 20 is:
    35 + 28 + 20 = 83

    For A:
    A's Share = 3583×1162\frac{35}{83} \times 1162​​

    35×116283\frac{35 \times 1162}{83}​​

    = 490

    Thus, A's share is Rs. 490.

    For B:
    B's Share = 2883×1162\frac{28}{83} \times 1162​​

    28×116283\frac{28 \times 1162}{83}​​

    = 392
    Thus, B's share is Rs. 392.

    For C:
    C's Share = 2083×1162\frac{20}{83} \times 1162​​
    =20×116283= \frac{20 \times 1162}{83}​​

    = 280

    Thus, C's share is Rs. 280.

    The amount of Rs. 1,162 is divided among A, B, and C as follows:

    • A: Rs. 490
    • B: Rs. 392
    • C: Rs. 280

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