A shopkeeper buys a table for some price and then spends an additional 20% of that price on repairs. He then marks the price of the table at Rs 15000 and sells it at a discount of 15% He has a profit percentage of 25% on the transaction. What was the cost that he paid for the table(without the additional price for repairing)?

To find the cost price of the table that the shopkeeper paid, let's break down the problem step by step.

1. **Let the cost price (CP) of the table be \( x \).**

2. **Repairs Cost:**
   The shopkeeper spends an additional 20% on repairs, which is \( 0.2x \). Thus, the total cost (including repairs) is:
   \[
   \text{Total Cost} = x + 0.2x = 1.2x
   \]

3. **Marked Price (MP):**
   The marked price of the table is Rs 15000.

4. **Selling Price (SP):**
   The shopkeeper sells the table at a discount of 15%. Therefore, the selling price is:
   \[
   SP = MP - 0.15 \times MP = 15000 - 0.15 \times 15000 = 15000 - 2250 = 12750
   \]

5. **Profit Percentage:**
   The profit percentage is given as 25%. The formula for profit percentage is:
   \[
   \text{Profit Percentage} = \frac{\text{Profit}}{\text{Total Cost}} \times 100
   \]
   The profit can also be expressed as:
   \[
   \text{Profit} = SP - \text{Total Cost} = 12750 - 1.2x
   \]
   Since the profit percentage is 25%, we have:
   \[
   25 = \frac{12750 - 1.2x}{1.2x} \times 100
   \]
   Simplifying this:
   \[
   0.25 = \frac{12750 - 1.2x}{1.2x}
   \]
   Multiplying both sides by \( 1.2x \):
   \[
   0.25 \times 1.2x = 12750 - 1.2x
   \]
   \[
   0.3x + 1.2x = 12750
   \]
   \[
   1.5x = 12750
   \]
   Dividing by 1.5:
   \[
   x = \frac{12750}{1.5} = 8500
   \]

So, the cost that the shopkeeper paid for the table (without the additional price for repairs) is **Rs 8500**.

### Questions for further exploration:
1. How does the profit margin change if the selling price is increased?
2. What would be the selling price if the shopkeeper decides to sell without any discount?
3. How much did the shopkeeper spend in total including repairs?
4. What profit percentage would he have if he sold the table for Rs 13000?
5. If the repairs cost was higher, how would that affect his profit percentage?

### Tip:
When calculating profit and loss, always track both cost and selling prices carefully to understand how discounts and repairs affect overall profitability.

A shopkeeper buys a table for some price and then spends an additional 20% of that price on repairs. He then marks the price of the table at Rs 15000 and sells it at a discount of 15%. He has a profit percentage of 25% on the transaction. What was the cost that he paid for the table(without the additional price for repairing)?

Discover how to calculate the original cost price of a table after repairs, with given selling price, discount, and profit percentage. This problem is a practical application of algebra and percentage calculations, suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation