A grocer claims that he is selling sugar at Rs. 48/kg,which costs him Ts. 50/kg,but he is giving 800g instead of 1000g. What will be the approximate percentage profit

To determine the grocer's approximate percentage profit, we need to calculate the actual cost and selling price for 800 grams of sugar and then use these values to find the profit percentage. Here's the step-by-step solution:

1. **Cost Price Calculation:**
   - The cost price (CP) of 1 kg (1000 grams) of sugar is Rs. 50.
   - Therefore, the cost price of 800 grams of sugar is:
     \[
     \text{CP of 800g} = 50 \times \frac{800}{1000} = 50 \times 0.8 = 40 \text{ Rs}
     \]

2. **Selling Price Calculation:**
   - The grocer sells 800 grams of sugar for Rs. 48.

3. **Profit Calculation:**
   - Profit is calculated as the difference between the selling price (SP) and the cost price (CP).
     \[
     \text{Profit} = \text{SP} - \text{CP} = 48 - 40 = 8 \text{ Rs}
     \]

4. **Profit Percentage Calculation:**
   - The profit percentage is calculated using the formula:
     \[
     \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100
     \]
     Plugging in the values:
     \[
     \text{Profit Percentage} = \left(\frac{8}{40}\right) \times 100 = 20\%
     \]

The grocer's approximate percentage profit is **20%**.

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. How would the profit percentage change if the cost price per kg increased to Rs. 55?
2. What would the profit percentage be if the grocer sold 900 grams for Rs. 48?
3. If the grocer wants to maintain the same profit percentage but increase the quantity to 1000 grams, what should be the new selling price?
4. How would the profit percentage be affected if the selling price were reduced to Rs. 45 for 800 grams?
5. What is the profit amount if the grocer sold 5 kg of sugar under these conditions?

**Tip:** Always convert quantities to the same units before performing calculations to avoid errors.

A grocer claims that he is selling sugar at Rs. 48/kg, which costs him Ts. 50/kg, but he is giving 800g instead of 1000g. What will be the approximate percentage profit?

Learn how to calculate the grocer's approximate percentage profit when selling 800 grams of sugar at Rs. 48/kg. Detailed step-by-step solution involving profit percentage formula and cost-price calculations.

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