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A man sells rice at 10% gain but weight 20% less than original weight find the profit percent by shortcut method?
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A man sells rice at 10% gain but weight 20% less than original weight ...
**Shortcut Method to Find Profit Percent:**

To find the profit percent using the shortcut method, we need to consider two factors: the selling price and the cost price. In this case, the man sells rice at a 10% gain but the weight is 20% less than the original weight.

Let's break down the solution into steps:

**Step 1: Define the given information:**
- Selling price gain: 10%
- Weight reduction: 20%

**Step 2: Assume a base value:**
Assume a base value for the cost price and weight of the rice. Let's assume the original cost price is 100 and the original weight is 100 kg.

**Step 3: Calculate the selling price:**
To calculate the selling price, we need to consider the gain percentage. Since the selling price is 10% more than the cost price, we can calculate it as follows:
Selling Price = Cost Price + (Gain Percentage x Cost Price)
Selling Price = 100 + (10/100) x 100 = 100 + 10 = 110

**Step 4: Calculate the reduced weight:**
To calculate the reduced weight, we need to consider the weight reduction percentage. Since the weight is 20% less than the original weight, we can calculate it as follows:
Reduced Weight = Original Weight - (Weight Reduction Percentage x Original Weight)
Reduced Weight = 100 - (20/100) x 100 = 100 - 20 = 80 kg

**Step 5: Calculate the cost price per kg:**
To calculate the cost price per kg, we divide the cost price by the original weight:
Cost Price per kg = Cost Price / Original Weight
Cost Price per kg = 100 / 100 = 1

**Step 6: Calculate the new cost price:**
To calculate the new cost price considering the reduced weight, we multiply the cost price per kg by the reduced weight:
New Cost Price = Cost Price per kg x Reduced Weight
New Cost Price = 1 x 80 = 80

**Step 7: Calculate the profit percent:**
To calculate the profit percent, we use the formula:
Profit Percent = (Selling Price - Cost Price) / Cost Price x 100
Profit Percent = (110 - 80) / 80 x 100 = 30 / 80 x 100 = 37.5%

Therefore, the profit percent achieved by the man selling rice at a 10% gain but weighing 20% less than the original weight is 37.5%.
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