A man sells some tea at a loss of 10% but gives only 900 gm tea instead of 1 Kg. Find the profit or loss percent.

Options

A. 10% loss
B. 10% gain
C. 15% loss
D. No loss no gain

Answer

To solve the problem step by step, we need to determine the selling price of the tea and then find out the profit or loss percentage based on the quantity sold.

### Step 1: Determine the Cost Price (CP) of 1 kg of tea
Let’s assume the cost price (CP) of 1 kg (1000 g) of tea is Rs. 1000.

### Step 2: Calculate the Selling Price (SP) of 1 kg of tea at a loss of 10%
Since the man sells the tea at a loss of 10%, we can calculate the selling price (SP) as follows:

\[ \text{Loss} = 10\% \text{ of CP} = 10\% \text{ of } 1000 = \frac{10}{100} \times 1000 = 100 \]

Now, subtract the loss from the cost price to find the selling price:

\[ \text{SP} = \text{CP} - \text{Loss} = 1000 - 100 = 900 \]

### Step 3: Calculate the effective selling price for 900 g of tea
The man gives only 900 g of tea instead of 1 kg. Since he sells 900 g for Rs. 900 (the selling price calculated above), we need to find the effective selling price per kg.

To find the effective selling price for 1 kg (1000 g), we can set up a proportion:

\[ \text{Effective SP for 1 kg} = \frac{\text{SP for 900 g}}{900} \times 1000 = \frac{900}{900} \times 1000 = 1000 \]

### Step 4: Calculate the profit or loss
Now, we compare the effective selling price for 1 kg with the cost price:

- Cost Price (CP) of 1 kg = Rs. 1000
- Effective Selling Price (SP) for 1 kg = Rs. 1000

Since the effective selling price equals the cost price, there is no profit or loss.

### Conclusion
The profit or loss percentage can be calculated as follows:

\[ \text{Profit or Loss} = \text{Effective SP} - \text{CP} = 1000 - 1000 = 0 \]

Thus, the profit or loss percentage is:

\[ \text{Profit or Loss Percentage} = \left(\frac{\text{Profit or Loss}}{\text{CP}}\right) \times 100 = \left(\frac{0}{1000}\right) \times 100 = 0\% \]

### Final Answer
The man neither makes a profit nor incurs a loss; the profit or loss percentage is **0%**.

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