IGNOU MMPN 3 2026 - Calculate the carpet area of a building having a plinth area of 2100 m

Question

Calculate the carpet area of a building having a plinth area of 2100 m² It may be assumed that 30% of the built-up area will be taken by the corridors, verandah, lavatories, staircases, etc. and 10% of the built up area will be occupied by walls. Also prepare a preliminary estimate of this building. It is given that:

(i) Plinth area rate Rs. 1700 per m²

(ii) Extra for special Architectural treatment 2% of building cost

(iii) Extra for water supply and sanitary Installations 5% of building cost

(iv) Extra of internal electric installations 20% of building cost

(v) Extra for other services 5% of building cost

(vi) Contingencies 4% of overall cost

(vii) Supervision charges 8% of overall cost

09 Feb 2026

Answer :

Word Count : 435

To calculate the carpet area of the building, we start with the given plinth area of 2100 m². The built-up area generally includes walls, corridors, staircases, verandahs, lavatories, and other spaces. According to the problem, 30% of the built-up area is occupied by corridors, verandah, lavatories, staircases, etc., and 10% is occupied by walls. Therefore, the carpet area can be determined as follows: Carpet Area = Plinth Area × (1 – Area occupied by walls and common spaces) = 2100 × (1 – 0.30 – 0.10) = 2100 × 0.60 = 1260 m² Hence, the carpet area of the building is 1260 m². Next, to prepare the preliminary estimate, we first calculate the basic building cost using the plinth area rate. Plinth Area Rate = Rs. 1700 per m². Basic Cost = Plinth Area × Plinth Area Rate = 2100 × 1700 = Rs. 35,70,000 Now, we account for the extra costs as percentages of the building

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