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A shopkeeper sold good for. 1800 and made a profit of 20% in the process find his profit. pecent. if he had sold his goods for 1687.5?
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A shopkeeper sold good for. 1800 and made a profit of 20% in the proce...
To determine the shopkeeper's profit percentage when selling goods for ₹1687.5, we first need to establish a few key figures based on the original sale at ₹1800 with a 20% profit.

Initial Profit Calculation
- Selling Price (SP) = ₹1800
- Profit Percentage = 20%
To find the Cost Price (CP), we can use the formula:
- CP = SP / (1 + Profit Percentage)
Calculating the Cost Price:
- CP = 1800 / (1 + 0.20)
- CP = 1800 / 1.20
- CP = ₹1500

New Selling Price and Profit Calculation
Now, let’s consider the new selling price of ₹1687.5.
1. **New Selling Price (SP)**: ₹1687.5
2. **Cost Price (CP)**: ₹1500 (as calculated earlier)
We can now calculate the profit made on this new selling price:
- Profit = SP - CP
- Profit = 1687.5 - 1500
- Profit = ₹187.5

Profit Percentage Calculation
To find the profit percentage based on the new selling price:
- Profit Percentage = (Profit / CP) × 100
Substituting the values:
- Profit Percentage = (187.5 / 1500) × 100
- Profit Percentage = 0.125 × 100
- Profit Percentage = 12.5%

Final Summary
- When the shopkeeper sells goods for ₹1687.5, he makes a profit of ₹187.5.
- The profit percentage in this case is 12.5%.
This analysis illustrates how altering the selling price affects the overall profit and profit percentage in retail.
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A shopkeeper sold good for. 1800 and made a profit of 20% in the process find his profit. pecent. if he had sold his goods for 1687.5?
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