Dhawan bought 10 chairs for Rs. 500. He got them repaired and sold them at Rs. 500 per pair. He got a profit of Rs. 100 per chair. How much did he spend on the repair of the chairs ?

Options

A. Rs. 250
B. Rs. 500
C. Rs. 1000
D. Rs. 1500

Answer

To solve the problem step by step, let's break it down:

### Step 1: Determine the total cost of the chairs
Dhawan bought 10 chairs for Rs. 500.

Total cost of chairs = Rs. 500

### Step 2: Calculate the selling price of the chairs
He sold the chairs at Rs. 500 per pair. Since there are 10 chairs, that means there are 5 pairs (2 chairs per pair).

Selling price per pair = Rs. 500
Total selling price for 5 pairs = 5 pairs × Rs. 500/pair = Rs. 2500

### Step 3: Determine the profit made from selling the chairs
According to the problem, Dhawan made a profit of Rs. 100 per chair. Since he has 10 chairs, the total profit can be calculated as follows:

Total profit = Profit per chair × Number of chairs
Total profit = Rs. 100 × 10 = Rs. 1000

### Step 4: Relate the total cost, total selling price, and total profit
We know that:

Total Selling Price = Total Cost + Total Profit

We can rearrange this to find the total cost including repairs:

Total Cost = Total Selling Price - Total Profit
Total Cost = Rs. 2500 - Rs. 1000 = Rs. 1500

### Step 5: Calculate the cost of repairs
We already know the initial cost of the chairs was Rs. 500. Now we can find out how much was spent on repairs:

Cost of repairs = Total Cost - Cost of chairs
Cost of repairs = Rs. 1500 - Rs. 500 = Rs. 1000

### Final Answer
Dhawan spent Rs. 1000 on the repair of the chairs.

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