A trader buys 187 pens at ₹23 each. During transportation, 7 pens get damaged and cannot be sold. He sells the remaining pens at ₹27 each. Find his profit percentage. (rounded off to one decimal place)
13.0%
To calculate the trader's profit percentage, we need to find the cost price (CP), selling price (SP), and then use the profit percentage formula. Let's go through the steps:
- Calculate the Total Cost Price (CP): The trader buys a total of 187 pens at ₹23 each. Therefore, the total cost price (CP) is given by:
\(CP = 187 \times 23\)
Calculating this gives:
\(CP = 187 \times 23 = 4301\)
- Calculate the Total Selling Price (SP): The trader can sell only 180 pens since 7 pens are damaged. He sells each of the remaining pens at ₹27.
Therefore, the total selling price (SP) is given by:
\(SP = 180 \times 27\)
Calculating this gives:
\(SP = 180 \times 27 = 4860\)
- Calculate the Profit: Profit is the difference between SP and CP.
\(Profit = SP - CP = 4860 - 4301\)
Calculating this gives:
\(Profit = 559\)
- Calculate Profit Percentage: The profit percentage is calculated as:
\(\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100\%\)
Substituting the known values:
\(\text{Profit Percentage} = \left( \frac{559}{4301} \right) \times 100\% \approx 13.0\%\)
Thus, the trader's profit percentage is approximately 13.0%, which matches the correct option provided.
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