Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    P, Q and R enter into a partnership. P advances one-fourth of the capital for one-fourth of the time. Q contributes one-fifth of the capital for half of the time. R contributes the remaining capital for the whole time. How should they divide a profit of Rs 1140?

    ক)
    Rs. 80, Rs. 180, Rs. 880
    খ)
    Rs. 100, Rs. 880, Rs. 60
    গ)
    Rs. 120, Rs. 200, Rs. 820
    ঘ)
    Rs. 100, Rs. 160, Rs. 880
    ঙ)
    None of these

    Explanation

    We know that, required profits would be in the ratio: ⇒ P’s share × P’s time : Q’s share × Q’s time : R’s share × R’s time =14×14  :15×12  :{1−(14+15)}×1= \frac{1}{4} \times \frac{1}{4}\;:\frac{1}{5} \times \frac{1}{2}\;:\left\{ {1 - \left( {\frac{1}{4} + \frac{1}{5}} \right)} \right\} \times 1 =116  :110  :1120= \frac{1}{{16}}\;:\frac{1}{{10}}\;:\frac{{11}}{{20}} = 5 : 8 : 44 Now, ⇒ P’s share in profit =557×1140=Rs.100= \frac{5}{{57}} \times 1140 = Rs.100 ⇒ Q’s share in profit =857×1140=Rs.160= \frac{8}{{57}} \times 1140 = Rs.160 ⇒ R’s share in profit =4457×1140=Rs.880= \frac{{44}}{{57}} \times 1140 = Rs.880

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