https://file.aiquickdraw.com/mathbot/file/1727288724487qas4zooa.jpg

The problem from the image is:

"The shopkeeper sold a table for Rs 540 at a loss of 5%. Find the cost price of the table."

### Solution:

Let the cost price of the table be \( C \).

Given that the selling price (S.P.) is Rs 540 and the loss percentage is 5%.

The relationship between the selling price, cost price, and loss percentage is given by the formula:

\[
\text{S.P.} = \text{C.P.} \times \left(1 - \frac{\text{Loss \%}}{100}\right)
\]

Substituting the known values:

\[
540 = C \times \left(1 - \frac{5}{100}\right)
\]

\[
540 = C \times \left(1 - 0.05\right)
\]

\[
540 = C \times 0.95
\]

Now, solve for \( C \):

\[
C = \frac{540}{0.95}
\]

\[
C = 568.42
\]

So, the cost price of the table is **Rs 568.42**.

Would you like further details or have any questions?

Here are some related questions to explore:
1. What would the cost price be if the loss was 10% instead?
2. How would the calculation change if there was a profit of 5% instead of a loss?
3. What would the selling price be if the shopkeeper wanted to break even (no loss or gain)?
4. How would the selling price change if the cost price was Rs 600 and the loss was still 5%?
5. How is the selling price affected by different loss or profit percentages?

**Tip:** To easily calculate percentage-based problems, remember the key relationship between cost price, selling price, and profit or loss percentages!

The shopkeeper sold a table for Rs 540 at a loss of 5%. Find the cost price of the table.

Learn how to find the cost price of a table sold for Rs 540 at a 5% loss. This step-by-step solution includes key concepts like selling price, cost price, and percentage loss. Ideal for students in Grades 6-8.

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