Shopkeeper cheats 10% on weighing goods during purchasing the same whi...
**Shortcut Method to Find the Profit Percentage:**
To find the profit percentage made by the shopkeeper while selling goods, we can use a shortcut method. This method involves calculating the selling price using the cost price and the profit percentage.
Let's assume that the cost price (CP) of the goods is Rs. 100. Since the shopkeeper cheats 10% on weighing the goods during purchasing, the actual cost price is 90% of the marked cost price.
**Calculating the Selling Price:**
To calculate the selling price (SP), we need to add the profit to the cost price. In this case, the profit is the amount the shopkeeper cheats while selling the goods.
The shopkeeper cheats 10% during purchasing, which means he is actually buying the goods for 90% of the marked cost price. Therefore, the profit made by the shopkeeper is 10% of the marked cost price.
**Calculating the Profit:**
The profit can be calculated using the formula:
Profit = Marked Cost Price - Actual Cost Price
In this case, the marked cost price is Rs. 100 and the actual cost price is 90% of the marked cost price, which is Rs. 90.
Profit = Rs. 100 - Rs. 90 = Rs. 10
**Calculating the Selling Price:**
To calculate the selling price, we need to add the profit to the cost price.
Selling Price = Cost Price + Profit
Selling Price = Rs. 90 + Rs. 10 = Rs. 100
**Calculating the Profit Percentage:**
The profit percentage can be calculated using the formula:
Profit Percentage = (Profit / Cost Price) * 100
In this case, the profit is Rs. 10 and the cost price is Rs. 90.
Profit Percentage = (10 / 90) * 100 = 11.11%
**Conclusion:**
Therefore, the shopkeeper makes a profit of 11.11% while selling the goods, using the shortcut method.
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