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    The salaries of P and Q together amount to ₹9,60,000. P and Q save 64% and 44%, respectively of their individual salaries. If P's expenditure is 1.5 t
    Question

    The salaries of P and Q together amount to ₹9,60,000. P and Q save 64% and 44%, respectively of their individual salaries. If P's expenditure is 1.5 times Q's expenditure, then what is the ratio of P's salary to Q's salary?

    A.

    2 : 3

    B.

    7 : 3

    C.

    3 : 7

    D.

    3 : 2

    Correct option is B

    Given:
    Total salary of P and Q = ₹9,60,000.
    P saves 64% of his salary.
    Q saves 44% of his salary.
    P's expenditure is 1.5 times Q's expenditure.
    Formula Used:
    Savings = Salary - Expenditure.
    Solution:
    Let P's salary be p, and Q's salary be q.
    So,
    P's expenditure = (1 - 0.64)p = 0.36p,
    Q's expenditure = (1 - 0.44)q = 0.56q.
    It is given that P's expenditure is 1.5 times Q's expenditure:
    0.36p = 1.5 × 0.56q
    0.36p = 0.84q 
    pq=0.840.36=73\frac{p}{q} = \frac{0.84}{0.36} = \frac{7}{3}​​​
    Thus, the ratio of salaries of P and Salaries of P = 7 : 3

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