A builder purchases 25 windows at 25% off the total price of Rs. 1,20,000. If the builder receives an additional discount of Rs. 7500 for the purchases, then the cost of each window is

Options

A. A) Rs. 3300
B. B) Rs. 3100
C. C) Rs. 3400
D. D) Rs. 3200

Answer

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

### Step 1: Calculate the initial discount
The builder purchases 25 windows at a total price of Rs. 1,20,000 with a discount of 25%.

**Calculation:**
- Discount = 25% of Rs. 1,20,000
- Discount = (25/100) * 1,20,000 = Rs. 30,000

### Step 2: Calculate the price after the initial discount
Now, we subtract the discount from the total price to find the price after the discount.

**Calculation:**
- Price after discount = Total Price - Discount
- Price after discount = 1,20,000 - 30,000 = Rs. 90,000

### Step 3: Apply the additional discount
The builder receives an additional discount of Rs. 7,500. We need to subtract this additional discount from the price after the initial discount.

**Calculation:**
- Final price = Price after discount - Additional discount
- Final price = 90,000 - 7,500 = Rs. 82,500

### Step 4: Calculate the cost of each window
Now, we need to find the cost of each window by dividing the final price by the number of windows purchased.

**Calculation:**
- Cost of each window = Final price / Number of windows
- Cost of each window = 82,500 / 25 = Rs. 3,300

### Final Answer:
The cost of each window is Rs. 3,300.

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