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To solve this problem, let's denote the cost price of the item as \( C \) (in thousand Taka).

### Step-by-step Solution:

1. **Loss Condition:**
   - The trader incurs a loss of 10% on cost when selling it.
   - Selling Price (SP) at a 10% loss is given by:
   
   \[
   SP_1 = C - 0.1C = 0.9C
   \]

2. **Profit Condition:**
   - If he could sell it at Tk. 1,500 more, he could make a profit of 20% on cost.
   - Selling Price (SP) at a 20% profit is given by:
   
   \[
   SP_2 = C + 0.2C = 1.2C
   \]
   
   - According to the problem, \( SP_2 = SP_1 + 1.5 \) (since 1,500 Taka is equivalent to 1.5 thousand Taka):

   \[
   1.2C = 0.9C + 1.5
   \]

3. **Solve for \( C \):**
   \[
   1.2C - 0.9C = 1.5
   \]
   \[
   0.3C = 1.5
   \]
   \[
   C = \frac{1.5}{0.3} = 5
   \]

So, the cost of the item is **5 thousand Taka**.

### Answer:
The correct option is **(C) 5**.

Would you like more details or have any questions?

### Related Questions:
1. If the loss percentage was changed to 15%, what would be the new cost price?
2. What is the profit percentage if the item is sold for 6 thousand Taka?
3. How much would be the selling price for a 30% profit on cost?
4. If the item is sold for 4.5 thousand Taka, what is the percentage of loss?
5. How much more should the selling price be increased to achieve a 25% profit on cost?

### Tip:
Always remember to set up equations correctly when dealing with percentage-based problems to avoid confusion and calculation errors.

A trader incurs a loss of 10% on cost of an item on selling it. If he could sell it at Tk. 1,500 more, he could make a profit of 20% on cost. What was the cost of the item in thousand Taka?

Explore how to calculate the cost of an item given percentage profit and loss conditions. Learn to set up and solve equations for profit and loss calculations. Suitable for students in Grades 8-10.

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