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    Capacities of two workers P and Q are in the ratio 3 : 2. What amount of the daily wages of Rs.400 should be given to P?
    Question

    Capacities of two workers P and Q are in the ratio 3 : 2. What amount of the daily wages of Rs.400 should be given to P?

    A.

    RS.160

    B.

    RS.260

    C.

    Rs.250

    D.

    Rs.240

    Correct option is D

    Given:
    Ratio of capacities of P and Q = 3:2
    Total daily wages = ₹400
    Concept Used:
    The wages are distributed in proportion to the capacities of the workers.
    Formula Used:
    If the total wages are to be distributed in the ratio a : b then:
    Wages for P=aa+b×Total Wages\text{Wages for P} = \frac{a}{a + b} \times \text{Total Wages}​​
    Solution:
    The ratio of capacities of P and Q is 3 : 2.
    Total parts = 3 + 2 = 5
    Wages for P=35×400=12005=240\text{Wages for P} = \frac{3}{5} \times 400 = \frac{1200}{5} = 240​​
    Thus, P should be given ₹240 from the daily wages.

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