Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    A dealer professing to sell his goods at C.P., uses a 900 gm weight for a kg. his gain percent is

    ক)
    9%
    খ)
    10%
    গ)
    11%
    ঘ)
    \(11\frac{1}{9}\)%
    ঙ)
    None of these

    Explanation

    Let the cost price of 1000 gm of goods be c. ∴cost price of 900 gm of goods = c × 1000 ÷ 900 ⇒ C.P. of 900 gm of goods = 0.9 × c Given, dealer sells his goods at C.P. S.P. of 0.9 kg goods = Cost price of 1 kg goods = c Profit = Selling price – Cost price ⇒ Profit = c – 0.9 × c ⇒ Profit = 0.1 × c Profit % =profitcost price×100%= \frac{{profit}}{{cost\ price}} \times 100\% ⇒ Profit % =0.1c0.9c×100%= {\rm{}}\frac{{0.1c}}{{0.9c}} \times 100\% ⇒ Profit % =1009%=1119%= {\rm{}}\frac{{100}}{9}\% = 11\frac{1}{9}\%

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