Suresh wanted to lay a new carpet in his new mansion with an area of 70 × 55 sq. mts. However, an area of 550 sq. mts. had to be left out for flowerpots. If the cost of carpet is Rs. 50 per sq. mts., how much money (in Rs.) will be spent by Suresh for the carpet now?
Rs. 1,65,000
Carpet Calculation for Suresh's Mansion
To determine the total money Suresh will spend on the carpet, we need to follow a few steps: first, calculate the total area of his new mansion, then subtract the area left out for flowerpots, and finally, multiply the remaining area by the cost per square meter.
Mansion Total Area
Suresh's new mansion has a given area. The dimensions of the mansion are 70 meters by 55 meters. To find the total area, we multiply the length by the width.
- Total area of the mansion = Length $\times$ Width
- Total area of the mansion = $70 \text{ mts} \times 55 \text{ mts}$
- Total area of the mansion = $3850 \text{ sq. mts.}$
Carpet Area Calculation
Even though the mansion has a total area of 3850 sq. mts., Suresh plans to leave out a specific area for flowerpots. This means that area will not be carpeted. So, we need to subtract the area for flowerpots from the total mansion area to find the actual area that needs carpeting.
- Area left out for flowerpots = $550 \text{ sq. mts.}$
- Area to be carpeted = Total area of mansion - Area for flowerpots
- Area to be carpeted = $3850 \text{ sq. mts.} - 550 \text{ sq. mts.}$
- Area to be carpeted = $3300 \text{ sq. mts.}$
Cost of Carpet
The cost of the carpet is given per square meter. Once we know the exact area to be carpeted, we can easily calculate the total money Suresh will spend by multiplying the carpeted area by the cost per square meter.
- Cost of carpet per sq. mts. = Rs. 50
- Total money spent = Area to be carpeted $\times$ Cost per sq. mts.
- Total money spent = $3300 \text{ sq. mts.} \times \text{Rs. } 50/\text{sq. mts.}$
- Total money spent = $\text{Rs. } 165000$
Final Expenditure
Based on our calculations, Suresh will spend Rs. 1,65,000 for the carpet now.
| Description | Calculation | Result |
|---|---|---|
| Mansion Area | $70 \text{ mts} \times 55 \text{ mts}$ | $3850 \text{ sq. mts.}$ |
| Area for Flowerpots | Given | $550 \text{ sq. mts.}$ |
| Area to be Carpeted | $3850 \text{ sq. mts.} - 550 \text{ sq. mts.}$ | $3300 \text{ sq. mts.}$ |
| Cost per sq. mts. | Given | Rs. 50 |
| Total Cost for Carpet | $3300 \text{ sq. mts.} \times \text{Rs. } 50/\text{sq. mts.}$ | Rs. 1,65,000 |
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