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    The ratio of P, Q and R is 3:5: 8 respectively. If their sum is 400, then what is the difference between P and R?
    Question

    The ratio of P, Q and R is 3:5: 8 respectively. If their sum is 400, then what is the difference between P and R?

    A.

    50

    B.

    125

    C.

    100

    D.

    75

    Correct option is B

    Given:
    Ratios of P:Q:R = 3:5:8
    Sum of P, Q, R = 400
    Formula Used:
    Value of each part = TotalSum of Ratios\frac{\text{Total}}{\text{Sum of Ratios}}​​
    Difference = R - P
    Solution:
    Sum of Ratios = 3 + 5 + 8 = 16
    Value of each part = 40016=25\frac{400}{16} = 25​​
    P = 3×25=753 \times 25 = 75​​
    R = 8×25=2008 \times 25 = 200​​
    Difference = 200 - 75 = 125
    Therefore, the difference between P and R is 125.

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