6. A shopkeeper sold a chair for ₹658 and incurred a loss of 6%. Find the cost price of the chair.

To find the cost price of the chair, we can use the formula related to loss:

\[
\text{Loss Percentage} = \left(\frac{\text{Cost Price} - \text{Selling Price}}{\text{Cost Price}}\right) \times 100
\]

Given:
- Selling Price (SP) = ₹658
- Loss Percentage = 6%

We can rearrange the formula to find the Cost Price (CP):

\[
\text{SP} = \text{CP} \times \left(1 - \frac{\text{Loss Percentage}}{100}\right)
\]

Substituting the given values:

\[
658 = \text{CP} \times \left(1 - \frac{6}{100}\right)
\]

\[
658 = \text{CP} \times \left(1 - 0.06\right)
\]

\[
658 = \text{CP} \times 0.94
\]

Now, solve for CP:

\[
\text{CP} = \frac{658}{0.94} = 700
\]

So, the cost price of the chair is **₹700**.

Would you like more details on this or have any further questions?

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Here are some related questions you might find helpful:

1. What would be the selling price if the shopkeeper wanted to make a 10% profit?
2. How would you calculate the percentage loss if the selling price was ₹500 instead?
3. What would be the selling price if there was no loss or gain?
4. How does the loss percentage change if the selling price is reduced to ₹600?
5. Can you explain how to calculate the selling price with a 15% loss?
6. What is the impact on the cost price if the loss percentage increases to 10%?
7. How would the loss percentage be affected if the chair sold for ₹658 was originally priced at ₹750?
8. What formula would you use to calculate profit instead of loss in such scenarios?

**Tip:** Always check if the percentage used in calculations is appropriately converted to its decimal form for accurate results.

Learn how to find the cost price of an item when sold at a loss of 6%. This problem involves using the loss percentage formula and rearranging it to determine the cost price. Suitable for Grades 7-9, this math problem provides a step-by-step solution and explores related scenarios.

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