A trader claims to sell flour at a profit of 47%, but also dishonestly uses a weight which is 8% 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.)

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The correct answer is 60%.

To find the total profit percentage earned by the trader, we can calculate the effective cost price and selling price based on a standard unit of weight, such as 1000 grams (1 kg).

Step 1: Determine the Cost Price (CP) and Selling Price (SP) per unit weight.
Let the actual cost price of 1000 grams of flour be ₹100.
Since the trader claims to sell the flour at a profit of 47%, the selling price for 1000 grams is given by:

$\text{Claimed SP}=100+47=\text{₹}147$

Step 2: Account for the dishonest weight used.
The trader uses a weight that is 8% less than what is mentioned on it.
Actual weight delivered for a claimed weight of 1000 grams:

$\text{Actual weight}=1000-(8\%\text{of}1000)=1000-80=920\text{grams}$

Step 3: Calculate the actual Cost Price for the delivered quantity.
Since 1000 grams costs ₹100, the cost of 920 grams of flour to the trader is:

$\text{Actual CP of 920 g}=\text{₹}92$

Step 4: Calculate the total profit and profit percentage.
The trader receives ₹147 (the SP for 1000 g) while only providing flour worth ₹92 (the CP of 920 g).
Profit earned by the trader:

$\text{Profit}=\text{SP}-\text{Actual CP}=147-92=\text{₹}55$

Now, calculate the profit percentage based on the actual cost price:

$\text{Profit \%}=\left(\frac{\text{Profit}}{\text{Actual CP}}\right)\times 100=\left(\frac{55}{92}\right)\times 100\approx 59.78\%$

Rounding off to the nearest whole number, the total percentage of profit earned by the trader is 60%.