Jishan buys equal number of two types of chocolates at the rate of Tk. 1/9 and 1/11 respectively. If Jishan now sells them at the rate of Tk. 1/10 what will be his profit/ loss?

Let's calculate Jishan's profit or loss step by step.

### Given:
- Jishan buys two types of chocolates at rates of Tk. \( \frac{1}{9} \) and Tk. \( \frac{1}{11} \) each.
- Jishan buys an equal number of both types of chocolates.
- He sells all the chocolates at a rate of Tk. \( \frac{1}{10} \) each.

### Step 1: Let the number of chocolates of each type be \( x \).

The total cost price for the chocolates:
- The cost of the first type of chocolates is \( x \times \frac{1}{9} = \frac{x}{9} \).
- The cost of the second type of chocolates is \( x \times \frac{1}{11} = \frac{x}{11} \).

So, the total cost price (CP) of the chocolates is:
\[
\text{Total CP} = \frac{x}{9} + \frac{x}{11}
\]
To simplify this, find the least common denominator (LCD) of 9 and 11, which is 99:
\[
\frac{x}{9} + \frac{x}{11} = \frac{11x}{99} + \frac{9x}{99} = \frac{20x}{99}
\]
Thus, the total cost price is \( \frac{20x}{99} \).

### Step 2: Calculate the total selling price.

Jishan sells all chocolates (2x chocolates) at the rate of Tk. \( \frac{1}{10} \). So, the total selling price (SP) is:
\[
\text{Total SP} = 2x \times \frac{1}{10} = \frac{2x}{10} = \frac{x}{5}
\]

### Step 3: Calculate the profit or loss.

Now, subtract the total cost price from the total selling price to find the profit or loss:
\[
\text{Profit/Loss} = \text{Total SP} - \text{Total CP} = \frac{x}{5} - \frac{20x}{99}
\]

To simplify this, find a common denominator for \( \frac{x}{5} \) and \( \frac{20x}{99} \). The least common denominator of 5 and 99 is 495:
\[
\frac{x}{5} = \frac{99x}{495}, \quad \frac{20x}{99} = \frac{100x}{495}
\]
Now subtract:
\[
\text{Profit/Loss} = \frac{99x}{495} - \frac{100x}{495} = \frac{-x}{495}
\]

So, the result is \( -\frac{x}{495} \), which means Jishan incurs a loss of \( \frac{x}{495} \) per chocolate.

### Final Answer:
Jishan incurs a loss of \( \frac{x}{495} \) Tk per chocolate.

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Do you want more details or have any questions? Here are some related questions:

1. What is the percentage of Jishan's loss?
2. How does the profit or loss change if the buying and selling prices change slightly?
3. If Jishan had bought chocolates at different rates, how would that affect the outcome?
4. How can Jishan avoid a loss when buying and selling chocolates?
5. If Jishan buys chocolates in bulk, what would be the impact on profit or loss?

**Tip:** Always compare cost price and selling price directly to determine profit or loss.

Calculate the profit or loss when Jishan buys chocolates at rates of Tk. 1/9 and 1/11 and sells them at Tk. 1/10. This solution explains how to use fractions and profit/loss formulas. Suitable for students in Grades 7-9.

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