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    Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    Nikhil sold two steel chairs for Rs. 500 each. On one he gains 25% and one other, he loses 20%. How much does he gain or lose in the whole transaction?

    ক)
    1.5 % gain
    খ)
    2 % gain
    গ)
    2.43 % loss
    ঘ)
    2 % loss
    ঙ)
    None of these

    Explanation

    S.P of the 1st chair = Rs. 500 Gain on the 1st chair = 25% ∴ C.P of the 1st chair =  500×100100+25=50000125=400= \;\frac{{500 \times 100}}{{100 + 25}} = \frac{{50000}}{{125}} = 400 S.P of the 2nd chair = Rs. 500 Loss on the 2nd chair = 20% ∴ C.P of the 2nd chair =  500×100100−20=5000080=625= \;\frac{{500 \times 100}}{{100 - 20}} = \frac{{50000}}{{80}} = 625 Now, S.P of both the chairs = Rs. 1000 C.P of both the chairs = 400 + 625 = Rs. 1025 ∴ Net Loss = 1025 – 1000 =25 As we know, Gain percentage =  gainC.P×100= \;\frac{{gain}}{{C.P}} \times 100 =  251025×100=  141×100=  10041=2.43\begin{array}{l} = \;\frac{{25}}{{1025}} \times 100\\ = \;\frac{1}{{41}} \times 100\\ = \;\frac{{100}}{{41}} = 2.43 \end{array} Hence, he has loss of 2.43% on the whole transaction.

    Related questions

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