A dealer in furniture buys chair at rs 340 each at what price should he mark them for sale so that he may earn a profit of 25% after giving 15% discount?

To solve this problem, we need to determine the marked price of the chairs that will allow the dealer to earn a 25% profit after giving a 15% discount. Here’s the step-by-step approach:

1. **Cost Price (C.P.)** = ₹340
2. **Profit Percentage** = 25%
3. **Discount Percentage** = 15%

### Step 1: Find the Selling Price (S.P.)
To earn a 25% profit, the selling price should be:
\[
\text{Selling Price} = \text{Cost Price} + \left( \frac{\text{Profit Percentage}}{100} \times \text{Cost Price} \right)
\]
\[
\text{Selling Price} = 340 + \left( \frac{25}{100} \times 340 \right)
\]
\[
\text{Selling Price} = 340 + 85 = ₹425
\]

### Step 2: Relate the Selling Price to the Marked Price (M.P.)
The dealer gives a 15% discount, meaning the selling price is 85% of the marked price. So, we can write:
\[
\text{Selling Price} = \left( \frac{85}{100} \times \text{Marked Price} \right)
\]
\[
425 = \left( \frac{85}{100} \times \text{Marked Price} \right)
\]

### Step 3: Solve for Marked Price
\[
\text{Marked Price} = \frac{425 \times 100}{85}
\]
\[
\text{Marked Price} = \frac{42500}{85} = ₹500
\]

### Conclusion:
The dealer should mark the chairs at **₹500** to earn a 25% profit after giving a 15% discount.

Would you like further clarification or details on any part of this process?

Here are 5 questions related to this problem:
1. How would the marked price change if the discount increased to 20%?
2. What would the selling price be if the profit was only 15%?
3. How do we calculate profit percentage if both cost price and selling price are known?
4. If the cost price was ₹400, what should be the new marked price for the same profit and discount?
5. Can you calculate the percentage loss if the dealer sold the chair at ₹300?

**Tip**: When solving problems with both profit and discount, always handle them in separate steps—first find the selling price with profit, then adjust for the discount.

A dealer in furniture buys chair at ₹340 each. At what price should he mark them for sale so that he may earn a profit of 25% after giving a 15% discount?

Learn how to determine the marked price for a chair costing ₹340 to earn a 25% profit after giving a 15% discount. This step-by-step guide covers profit percentage, selling price, and discount calculations. Ideal for students in Grades 7-9.

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