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A builder purchases 25 windows at 25% of...

A builder purchases 25 windows at 25% off then he paid Rs 2400. Find the price of the window.

A

3100

B

3200

C

3300

D

3400

Text Solution

AI Generated Solution

The correct Answer is:
To find the price of one window, we can follow these steps: ### Step 1: Understand the discount The builder purchased 25 windows at a 25% discount. This means he paid 75% of the original price (100% - 25% = 75%). ### Step 2: Calculate the total price paid The builder paid Rs. 2400 for the 25 windows. ### Step 3: Find the price for one window after discount To find the price of one window after the discount, we first need to find the price per window for the total amount paid. \[ \text{Price per window after discount} = \frac{\text{Total amount paid}}{\text{Number of windows}} = \frac{2400}{25} = 96 \text{ Rs} \] ### Step 4: Calculate the original price of one window Since the builder paid 75% of the original price, we can set up the equation: \[ \text{Price after discount} = 75\% \text{ of Original Price} \] Let the original price of one window be \( P \). Then, \[ 96 = 0.75P \] To find \( P \), we rearrange the equation: \[ P = \frac{96}{0.75} = 128 \text{ Rs} \] ### Step 5: Conclusion The original price of one window is Rs. 128. ---
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