Ashish sold two watches to Ishan for Rs. 891 each. He made a profit of 10% on one watch and a loss of 10% on the other. How much profit or loss (in Rupees) did he make on the whole?



Let's analyze the situation step by step:

1. **Selling Price of each watch:**  
   Ashish sold each watch for Rs. 891.

2. **Profit on the first watch:**  
   Let the cost price of the first watch be \( C_1 \).  
   He made a profit of 10%, so the selling price \( S_1 \) is given by:
   \[
   S_1 = C_1 \times \left(1 + \frac{10}{100}\right) = C_1 \times 1.1
   \]
   Given \( S_1 = 891 \):
   \[
   891 = C_1 \times 1.1
   \]
   \[
   C_1 = \frac{891}{1.1} = 810 \text{ Rs.}
   \]

3. **Loss on the second watch:**  
   Let the cost price of the second watch be \( C_2 \).  
   He made a loss of 10%, so the selling price \( S_2 \) is given by:
   \[
   S_2 = C_2 \times \left(1 - \frac{10}{100}\right) = C_2 \times 0.9
   \]
   Given \( S_2 = 891 \):
   \[
   891 = C_2 \times 0.9
   \]
   \[
   C_2 = \frac{891}{0.9} = 990 \text{ Rs.}
   \]

4. **Total cost price:**  
   The total cost price of both watches:
   \[
   \text{Total Cost Price} = C_1 + C_2 = 810 + 990 = 1800 \text{ Rs.}
   \]

5. **Total selling price:**  
   The total selling price of both watches:
   \[
   \text{Total Selling Price} = 891 + 891 = 1782 \text{ Rs.}
   \]

6. **Profit or Loss Calculation:**  
   Since the total cost price is Rs. 1800 and the total selling price is Rs. 1782, the difference (loss) is:
   \[
   \text{Loss} = \text{Total Cost Price} - \text{Total Selling Price} = 1800 - 1782 = 18 \text{ Rs.}
   \]

**Final Answer:** Ashish made a loss of Rs. 18 on the whole transaction.

Would you like more details, or do you have any questions?

Here are some related questions you might find interesting:

1. How would the outcome change if both watches were sold at the same cost price?
2. What would be the profit or loss percentage on the whole transaction?
3. If Ashish wanted to avoid any loss, at what price should he have sold the second watch?
4. How does the percentage loss or gain differ when the selling prices differ?
5. What is the overall percentage loss on the total transaction?

**Tip:** When dealing with profit and loss, always calculate the cost price and selling price carefully to avoid confusion, especially when different percentages are involved.

Ashish sold two watches to Ishan for Rs. 891 each. He made a profit of 10% on one watch and a loss of 10% on the other. How much profit or loss (in Rupees) did he make on the whole?

Analyze the profit and loss calculation when Ashish sells two watches at Rs. 891 each, one with a 10% profit and the other with a 10% loss. Learn step-by-step how to determine the overall loss of Rs. 18 using key concepts in percentage and basic algebra. Suitable for Grades 7-9.

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