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 |
Important Questions from Numerical Computation
Ratio of the angles of a triangle are 1 : 2 : 6. What is the smallest angle?
Two design consultants, P and Q, started working from 8 AM for a client. The client budgeted a total of USD 3000 for the consultants. P stopped working when the hour hand moved by 210 degrees on the clock. Q stopped working when the hour hand moved by 240 degrees. P took two tea breaks of 15 minutes each during her shift, but took no lunch break. Q took only one lunch break for 20 minutes, but no tea breaks. The market rate for consultants is USD 200 per hour and breaks are not paid. After paying the consultants, the client shall have USD_remaining in the budget.
Leila aspires to buy a car worth Rs. 10,00,000 after 5 years. What is the minimum amount in Rupees that she should deposit now in a bank which offers 10% annual rate of interest, if the interest was compounded annually?
In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pile contains a total of 5692000 fruits, how many of them are apples?
There are nine bags of rice looking alike, eight of which have equal and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance the minimum number of weighting required to identify the heavier bag is
