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    If a number P is 15% less than another number Q, and Q is 12% more than 156, then what is the value of P?
    Question

    If a number P is 15% less than another number Q, and Q is 12% more than 156, then what is the value of P?

    A.

    168.52    

    B.

    138.52

    C.

    148.51

    D.

    178.52

    Correct option is C

    Given:

    P is 15% less than Q

    Q is 12% more than 156

    Solution

    If Q is 12 % more than 156

    Then Q = 156(100+12100)=174.72156\left(\frac{100+12}{100}\right)= 174.72​​

    Now P is 15%  less than Q

    P =174.72(10015100)=148.51 174.72\left(\frac{100-15}{100}\right) = 148.51​​

    Alternative Method:

    P=156×(112100)×(85100)=148.51P = 156\times \left(\frac{112}{100}\right)\times \left(\frac{85}{100}\right) = 148.51​​

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