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    Three friends P, Q ad R has Rs. X. Q has 20% more than the P and R has Rs. 1000 more than that of Q. If R has Rs. 7000, then find the value of X.
    Question


    Three friends P, Q ad R has Rs. X. Q has 20% more than the P and R has Rs. 1000 more than that of Q. If R has Rs. 7000, then find the value of X.

    A.

    Rs. 16000

    B.

    Rs. 12000

    C.

    Rs. 11000

    D.

    Rs. 15000

    E.

    Rs. 18000

    Correct option is E

    Information Given:
    Three friends P, Q, R have total Rs. X.
    Q has 20% more than P.
    R has Rs. 1000 more than Q.
    R has Rs. 7000.

    Formula Used:
    Let P's amount = p
    Q = p + 20% of p = 1.2p
    R = Q + 1000 = 1.2p + 1000 = 7000

    Explanation:
    1.2p + 1000 = 7000
    1.2p = 6000
    p = 6000/1.2 = 5000
    Q = 1.2 × 5000 = 6000
    R = 7000
    X = 5000 + 6000 + 7000 = 18000

    Short Trick:
    R=7000 → Q=7000-1000=6000
    P=6000/(1+0.2)=6000/1.2=5000
    X=5000+6000+7000=18000

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