Subject

    Quantitative Aptitude

    Topic

    Profit & Loss

    Rutvi, while professes to sell her goods at a profit of 20%, Rutvi weighs 900 grams instead of 1000 grams. Find her gain percent.

    ক)
    30%
    খ)
    \(33\frac{1}{3}\%\)
    গ)
    50%
    ঘ)
    40%
    ঙ)
    37%

    Explanation

    Let her cost price be Rs. 100. ∴ Her selling price would be Rs. 120 ∴ Her cost price for 1000gm is Rs. 100 ∴ Her cost price for 1 gm = Rs. 100/1000 She sells 900gm for Rs. 120 ∴ His selling price for 1gm = Rs. 120/900 ∴ Profit = Selling price – Cost price ∴ Profit = 120/900 – 100/1000 = 300/9000 = 1/30 Now, profit percentage = ProfitCost  price  ×100=  1301001000  ×100=1003=3313  %.\frac{{Profit}}{{Cost\;price\;}} \times 100 = \;\frac{{\frac{1}{{30}}}}{{\frac{{100}}{{1000}}}}\; \times 100 = \frac{{100}}{3} = 33\frac{1}{3}\;\% .

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