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    A trader claims to sell rice at a profit of 39%, but also dishonestly uses a weight which is 17% less than what is mentioned on it. Find the total per
    Question

    A trader claims to sell rice at a profit of 39%, but also dishonestly uses a weight which is 17% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)

    A.

    66%

    B.

    67%

    C.

    69%

    D.

    72%

    Correct option is B

    Given:

    Trader claims 39% profit.

    He uses a weight 17% less, i.e., he gives only 83% of actual weight.

    Formula Used:

    Profit % = SP – CPCP×100\frac{\text{SP – CP}}{\text{CP}} \times 100​​

    Solution:

    Let CP = 100

    Trader claims 39% profit, so

    SP = 139

    Actual quantity given = 83% of 1 kg

    Cost of 0.83 kg = 0.83 × 100 = 83

    Actual profit earned  = 139 - 83 = 56

    Actual profit % = 5683×100 \frac{56}{83} \times 100 \approx  67.47% = 67%(approx)

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