Professional Practice, Estimation, Tendering and Arbitration; Building Economics and Allied Fields
2. Estimation: plinth area, cubic content, unit and detailed methods; earthwork
An estimate is the forecast of the cost of a work before it is built. It is made to obtain approval and funds, to compare alternatives, to fix a budget for the contract and to control cost later. An early preliminary (approximate) estimate needs only rough data; a detailed estimate needs completed drawings and specifications. Three areas must not be confused: carpet area is the usable floor area within the walls; plinth area is the covered built-up area measured at floor (plinth) level over the external walls, so it exceeds carpet area by the walls, circulation and service areas; super built-up area adds a share of common areas and is a selling measure, not a construction measure.
| Method | Basis | Use and accuracy |
|---|---|---|
| Plinth area | Plinth area × rate per m² taken from similar completed buildings | Quick and rough; blind to height and specification differences |
| Cubic content | Volume (plinth area × height above floor level to roof top) × rate per m³ | Better than plinth area where storey heights differ, such as halls and sheds |
| Unit (service unit) | Number of units × cost per unit: bed, seat, classroom, student | Feasibility of institutional buildings; ignores design differences |
| Detailed (item-rate) | Quantity of every item from the drawings × rate of that item | Accurate; basis for the tender and the contract |
Take a single-storey building of 12 m × 9 m over the external walls at plinth level. Its plinth area is 108 m², and at a plinth-area rate of ₹ 25,000 per m² the preliminary estimate is 108 × 25,000 = ₹ 27,00,000. The cost per square metre of a finished building is the total cost divided by the area on which the rate is based. A detailed estimate takes off quantities item by item (number × length × breadth × depth), subtracts openings, abstracts quantity × rate = amount, and then adds contingencies (a provision for unforeseen items) and supervision charges. Walls and trenches are taken either by the long-wall–short-wall method or by the centre-line method: total centre-line length × section. A 5 m × 4 m room measured centre to centre has a centre line of 2 × (5 + 4) = 18 m, and at every T-junction half the wall width is deducted, because the centre line of one wall runs into the thickness of the other. A trench 0.9 m wide and 1.2 m deep along 60 m of centre line holds 0.9 × 1.2 × 60 = 64.8 m³.
Earthwork is found from cross-section areas. For a level section of base width b, depth d and side slope s horizontal to 1 vertical, A = (b + sd) × d: with b = 10 m, s = 1.5 and d = 2 m, A = (10 + 3) × 2 = 26 m². Between two sections L apart, the mean sectional area (end-area) rule gives V = L × (A₁ + A₂) ÷ 2; for many equally spaced sections the trapezoidal rule is V = L × [(A₁ + Aₙ) ÷ 2 + A₂ + … + Aₙ₋₁]; and the prismoidal rule is V = (L ÷ 6) × (A₁ + 4Aₘ + A₂), where Aₘ is the true area of the mid-section, not the mean of the end areas. For L = 30 m, end areas 20 m² and 80 m², and mid-section 45 m², the end-area rule gives 30 × 50 = 1,500 m³ and the prismoidal rule gives (30 ÷ 6) × (20 + 180 + 80) = 1,400 m³. The end-area rule overstates here because both dimensions of the section grow along the length; the prismoidal rule is exact for a true prismoid.
3. Rate analysis, bill of quantities, costing and specification
Rate analysis works out the cost of one unit of a work item. It adds materials (quantity per unit × price, with wastage and carriage), labour (days × wage), tools, plant and machinery and sundries, giving the prime cost; then overheads (establishment and site expenses) and the contractor’s profit, usually added as a stated percentage. Public bodies publish a schedule of rates; market rates are used where the schedule has no item. A nominal 20 × 10 × 10 cm brick occupies 0.002 m³, so a cubic metre of masonry needs 1 ÷ 0.002 = 500 bricks.
| Component | Quantity | Rate | Amount |
|---|---|---|---|
| Bricks | 500 | 9 | 4,500 |
| Cement mortar, m³ | 0.28 | 5,000 | 1,400 |
| Mason, days | 1 | 800 | 800 |
| Labourers, days | 2 | 600 | 1,200 |
| Prime cost | – | – | 7,900 |
| Overheads and profit at 15% of prime cost | – | – | 1,185 |
| Rate per m³ | – | – | 9,085 |
A bill of quantities (BOQ) lists every item of the work in the order of construction with its description, unit, quantity, rate and amount, so that all tenderers price identical quantities and only the rates differ. The quantities are measured by the rules of the Indian Standard on measurement of building works (the IS 1200 series), which fix the units and the deductions. Besides measured items a BOQ carries preliminaries (site establishment, insurance, temporary works), a provisional sum for work not yet defined, a prime cost sum for items to be supplied by a nominated firm, and contingencies. With the rates above, 25 m³ of masonry is 25 × 9,085 = ₹ 2,27,125; with 64.8 m³ of excavation at ₹ 300 (19,440) and 150 m² of plaster at ₹ 420 (63,000) the three items total ₹ 3,09,565.
| Aspect | General specification | Detailed specification |
|---|---|---|
| Content | The broad class and quality of each part of the building, such as RCC frame, brick infill, vitrified tile flooring | Item by item: quality of materials, mix proportions, workmanship, tests, curing, tolerances, measurement and payment |
| Purpose | Preliminary estimate, project report, early client approval | Tender documents, the contract, rate analysis, inspection and acceptance of work |
| Binding force | Descriptive and not enough to build from | Part of the contract; the standard the contractor must meet |
4. Tendering and the types of contract
Tendering is the competitive process by which a client invites offers to carry out a defined work and selects a contractor, so that the price reflects the market and the selection is fair and transparent. The tender documents are the notice inviting tender (NIT), instructions to tenderers, conditions of contract, drawings, specification and the BOQ. Common methods are compared below; the choice depends on the value, urgency, complexity and the need for special skill.
| Type | How it works | When used |
|---|---|---|
| Open (public) tender | Advertised widely; any eligible contractor may bid | The normal method for public works; maximum competition |
| Limited (selective) tender | Only contractors on an approved or pre-qualified list are invited | Specialised or large works needing proven capacity |
| Single (negotiated) tender | One contractor is approached and the price negotiated | Rare: urgency, extension of an existing contract, unique skill |
| Two-envelope (two-bid) tender | A technical bid is opened first; the price bid of only the technically qualified is then opened | Complex works where quality matters as much as price |
| e-tender | The whole process runs on an online portal | Transparency, record keeping, wider reach |
- Item-rate contract: the tenderer quotes a rate for each BOQ item and is paid for the quantities actually measured; it suits work whose quantities may change.
- Lump-sum contract: a fixed price for the whole defined work; it suits a work whose scope is fully drawn and specified, and shifts quantity risk to the contractor.
- Percentage-rate contract: the tenderer quotes a percentage above or below the client’s estimated rates or schedule of rates.
- Cost-plus contract: the client reimburses actual cost and pays a fee; used when the scope cannot be defined in advance, at the price of weak cost control.
- Design–build or turnkey contract: one party designs and builds, giving single-point responsibility but less independent design control.
The earnest money deposit (EMD) is a sum, stated in the NIT as a percentage of the estimated cost and usually paid by a bank instrument, that a tenderer lodges with the bid. It is security that the tenderer will not withdraw the bid and will sign the contract if selected. It is forfeited if the tenderer withdraws or refuses to sign, returned to unsuccessful tenderers, and for the successful one is released or adjusted against the performance security (security deposit), which the contractor then provides for the due performance of the work. Money is also held as retention until the end of the defects liability period.
- Sanction the work and prepare the tender documents, with the estimate.
- Publish the NIT, issue the documents, and hold a pre-bid meeting to clarify queries.
- Receive sealed or online bids with EMD by the closing date, and open them in public view.
- Evaluate eligibility, then technical merit, then price, and prepare a comparative statement.
- Recommend the selected tenderer, issue the letter of acceptance, take the performance security and sign the agreement.
- Hand over the site and issue the work order.
5. Arbitration and the other ways of settling disputes
Building contracts are long, costly and prone to dispute over delay, extra items and variations, defective work, measurement and payment, and termination. Arbitration is a private, binding way of settling such a dispute outside the courts. The parties agree, usually by a clause in the contract, to refer disputes to an arbitral tribunal (a sole arbitrator or an odd-numbered panel); each side states its claim and defence, evidence is heard, and the tribunal gives an award. In India it is governed by the Arbitration and Conciliation Act, 1996, which is modelled on the UNCITRAL Model Law and also deals with conciliation.
- Party autonomy: the parties choose the process, within the law, the number and the choice of arbitrators.
- Independence and impartiality: an arbitrator must be neutral and disclose any circumstance that raises doubt; both sides must be treated equally and given a full chance to present their case.
- An agreement in writing to arbitrate is the foundation; without it, a party cannot be forced into arbitration.
- Final and binding award: it is enforceable like a court decree, and a court may set it aside only on limited grounds such as invalid agreement, lack of fair hearing or conflict with public policy; it does not re-try the case on its merits.
| Method | Who decides | Result binding? | Character |
|---|---|---|---|
| Negotiation | The parties themselves | Only if they sign a settlement | Informal, cheapest, private |
| Mediation | The parties, helped by a neutral facilitator | Only by agreement | Voluntary, flexible, private |
| Conciliation | The parties, with a conciliator who proposes terms | Only when the parties accept and sign; a signed settlement then carries the status of an award on agreed terms | Voluntary, private, governed by the Act |
| Arbitration | The arbitral tribunal | Yes: final and binding, challengeable only on limited grounds | Private, quasi-judicial, faster than court in principle |
| Litigation | A court, with right of appeal | Yes, subject to appeal | Public, formal, usually slowest |
6. Building economics: cost concepts, depreciation, life-cycle cost and valuation
Building economics asks whether a building is worth what it costs. Cost is what is paid, value is what the building is worth to its user or the market, and they differ. Initial (capital) cost is the cost of design and construction; running cost is operation, maintenance, cleaning and energy through the life. A cheap building can be expensive to run. Compactness matters: for a given floor area, a square plan has the shortest perimeter among rectangles, so a 100 m² room of 10 m × 10 m has 40 m of wall, whereas a 5 m × 20 m room has 50 m, which is 25% more wall, plus more foundation and finishes. Repetition, standard sizes and prefabrication lower unit cost through scale.
Depreciation is the fall in value through wear, age and obsolescence. By the straight-line method the annual charge is D = (C − S) ÷ n, with cost C, salvage value S and life n years, and the book value after t years is C − D × t. For ₹ 50 lakh, salvage ₹ 5 lakh and 30 years, D = 45 ÷ 30 = ₹ 1.5 lakh a year, and the book value after 10 years is 50 − 15 = ₹ 35 lakh. By the declining-balance method a constant fraction r of the current book value is written off each year, so the book value after t years is C(1 − r)ᵗ: for 100 at 10% it is 81 after two years.
Life-cycle cost (LCC) adds every cost over the life: initial cost, running costs, replacements, less salvage. Money has a time value, so future costs are brought to the present: PV = F ÷ (1 + i)ⁿ, and an equal yearly sum A for n years has present value A × [(1 + i)ⁿ − 1] ÷ [i(1 + i)ⁿ]. Compare two options: X costs 100 and runs at 5 a year, Y costs 120 and runs at 2 a year, for 20 years at 10%, where the factor is 8.514. LCC of X = 100 + 5 × 8.514 = 142.57; LCC of Y = 120 + 2 × 8.514 = 137.03. Y has the higher first cost but the lower life-cycle cost. A simple (undiscounted) LCC just adds the amounts; the simple payback period is extra cost ÷ yearly saving, so an extra ₹ 3 lakh of insulation saving ₹ 0.5 lakh a year pays back in 6 years.
Valuation by capitalisation: the value of an income-producing property is its net annual income ÷ capitalisation rate (yield), equivalently net income × years’ purchase, where years’ purchase = 1 ÷ rate. Net income is gross rent less outgoings (taxes, repairs, insurance, management, vacancy). For gross rent ₹ 12 lakh a year, outgoings ₹ 2 lakh and a yield of 8%, the net income is 10 and the value is 10 ÷ 0.08 = ₹ 125 lakh, with years’ purchase 12.5. A higher required yield means a lower value.
7. Architecture journalism and human sociology
Architecture journalism reports, explains and criticises the built environment for the public and the profession, in newspapers, magazines, books, journals, broadcasts and online media. It has five roles: to inform (news of projects and policy), to interpret (explain why a building looks and works as it does), to critique (judge it by stated criteria such as function, context, form, technology and social and environmental value), to advocate (heritage, public space and policy debate) and to document (a record for later history). Its standards are accuracy (names, dates and credits checked), independence (disclose ties to a practice or advertiser), fair criticism (judge the work, not the person), proper credit and copyright for drawings and photographs, and honesty about images: a render must not be passed off as a built result.
Human sociology here means the study of how people and society shape, and are shaped by, built space. Culture, family structure, religion, gender norms and social status influence house form, privacy and the use of courtyards and thresholds; climate and culture act together. The standard ideas are below.
- Proxemics (Edward T. Hall): people keep four distance zones, intimate, personal, social and public, and the acceptable distance depends on culture and context.
- Privacy and territoriality: privacy is the control of access to oneself or one’s group; territories range from primary (home) through secondary (the shared stair or office) to public. Designers support privacy with gradation from public to private space.
- Defensible space (Oscar Newman) and “eyes on the street” (Jane Jacobs): territorial definition, natural surveillance from windows and doors, and active edges make a place safer without fences.
- Sociopetal and sociofugal space (Humphry Osmond): a layout that brings people together, such as seats round a table, is sociopetal; one that keeps them apart, such as fixed rows facing one way, is sociofugal.
- Density and crowding: density is a physical count of people per unit area; crowding is the felt experience of too little space, which depends on control, culture and context, not on density alone.
- User participation and post-occupancy evaluation: ask users before design and measure how a building performs for them after it is occupied.
8. Industrial architecture and interior design
Industrial architecture designs the enclosure for a production process, so the building follows the flow of material: raw material in, processing, storage, dispatch out. Layouts are product (line) for a continuous sequence, process for grouped machines, and fixed-position for products too large to move. A single-storey building suits heavy machinery, large floor loads, overhead cranes, flexibility and top-lighting. A multi-storey building suits light manufacturing and gravity-fed processes, saves land and uses vertical conveyors or lifts. Structure is planned on a regular bay and long clear spans to suit machinery, with floors strong against heavy loads, wear and vibration.
- Roof and light: a north-light (saw-tooth) roof has glazed faces turned to the north in the northern hemisphere, admitting steady diffuse daylight without direct sun or glare; monitor roofs and ridge vents add light and let hot air and fumes escape by stack effect.
- Safety and welfare: fire compartments, wide exits, separation of hazardous processes, and welfare amenities (toilets, canteen, first aid) as required by the law governing factories.
- Circulation and services: separate goods from people, give trucks room to turn and dock, and provide power, water, compressed air and effluent treatment; leave land and a structural grid that allow expansion.
- Site selection: access to raw material, market, transport, labour and utilities, zoning for industry, and the disposal of waste.
Interior design plans and fits out the inside of a building so that it is functional, safe, comfortable and attractive. Its scope covers space planning, furniture layout and circulation, finishes of floor, wall and ceiling, lighting, colour, furnishings, acoustics, services coordination and joinery detail. The elements are line, form, colour, texture, pattern, light and space; the principles are balance, rhythm, emphasis, proportion and scale, harmony and unity, and contrast. Colour has hue, value (lightness) and chroma (intensity); schemes are monochromatic (one hue), analogous (neighbours on the wheel), complementary (opposites) and triadic, and a common rule of thumb is about 60% dominant, 30% secondary and 10% accent. Lighting is layered: ambient, task and accent.
The interior design process runs from brief and survey through concept and mood board, space plan, schedule of materials and finishes, working and joinery drawings, BOQ and estimate, tendering, execution with supervision, and snagging and handover. Interior work is usually costed by area × rate, with furniture, fixtures and equipment (FF&E) as a separate head. It differs from structural design in that it normally does not touch the structure, but it must still respect fire safety, services and accessibility.
Key takeaways
- The Architects Act, 1972 constitutes the Council of Architecture, which keeps the Register of Architects, recognises qualifications, regulates conduct through the Code of Professional Conduct and disciplines misconduct; only registered persons may use the title “architect”.
- Ethics means integrity, independence, competence and public duty; the architect acts for the client but certifies impartially between client and contractor.
- Estimates: plinth area × rate, cubic content × rate, units × rate, or detailed item-rate. Earthwork by end-area is L(A₁ + A₂)/2; prismoidal is (L/6)(A₁ + 4Aₘ + A₂), with the true mid-area.
- Rate = (materials + labour + plant) plus overheads and profit; a BOQ lists item, unit, quantity, rate and amount so tenderers price the same quantities; general specifications serve estimates, detailed ones form the contract.
- Tenders may be open, limited, single or two-envelope; EMD secures the bid and is forfeited on withdrawal; contracts are item-rate, lump-sum, percentage-rate, cost-plus or design–build; the lowest bid is not automatically the best.
- Arbitration under the Arbitration and Conciliation Act, 1996 rests on a written agreement, an impartial tribunal and a final, binding award challengeable only on limited grounds; conciliation and mediation depend on the parties’ consent. Building economics: straight-line depreciation (C − S)/n, LCC, and value = net income ÷ yield; the allied fields are applied through principles, not numbers.
Practice questions (20)
Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.
Which body is constituted under the Architects Act, 1972 to maintain the Register of Architects and regulate professional conduct?
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Answer: C — The Council of Architecture, a statutory body that registers architects and regulates conduct
The Architects Act, 1972 constitutes the Council of Architecture, a statutory body that maintains the Register, recognises qualifications and regulates conduct. The Indian Institute of Architects is the tempting answer because it is the best-known architects’ body, but it is a voluntary association with no statutory power to register. The other two bodies deal with standards and planning policy.While specifying a floor finish, an architect learns that a supplier will pay a commission on every square metre of its product used on the job. Which course is consistent with the principles of the Code of Professional Conduct?
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Answer: A — Decline the commission and tell the client in writing about the offer before specifying
The Code rests on independence: advice about materials must not be influenced by a gain from a supplier, so the architect refuses the commission and keeps the client informed, so that the client can trust the advice. Quality of the product is the tempting excuse but does not cure a hidden interest, and lowering the fee secretly is still concealment.Seats in a hospital waiting hall are bolted in long rows all facing one direction, and patients rarely speak to one another. In Osmond’s terms this layout is
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Answer: D — sociofugal, because it keeps people apart and discourages interaction between them
Sociofugal layouts, such as fixed seats facing one way, discourage interaction; sociopetal ones, such as seats round a table, encourage it. Defensible space concerns territory and surveillance for safety, and proxemics concerns the distance zones people keep, so neither is a name for the seating pattern.Why are the glazed faces of a saw-tooth (north-light) factory roof turned toward the north in the northern hemisphere?
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Answer: B — To admit steady, diffuse daylight with little direct sun, heat gain or glare
A north-facing glazed face receives sunlight only as diffuse sky light, so illumination on machines and benches is even, with little glare or heat gain. Collecting direct sun would produce glare and overheating in a workshop, and wind and solar-panel arguments are not the reason for the orientation.An interior scheme uses only tints and shades of a single hue, such as light and dark greens. This colour scheme is
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Answer: C — monochromatic, because it varies the value and chroma of one hue
A monochromatic scheme keeps one hue and varies only its value (lightness) and chroma. An analogous scheme uses neighbouring hues and is the nearest wrong answer; a complementary scheme pairs opposites, and a triadic scheme uses three hues spaced evenly on the wheel.Which of the following statements about architects and the Council of Architecture are correct?
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Answer: A — The Council of Architecture maintains the Register of Architects and can take disciplinary action for professional misconduct; B — Only a person registered under the Architects Act may use the title “architect”
The Council keeps the Register and disciplines misconduct, and the title “architect” is reserved to registered persons. Building bye-laws are framed by the municipal and planning authorities, not the Council. When certifying payment the architect must act impartially between client and contractor, even though he or she is the client’s agent elsewhere.The main purpose of the earnest money deposit (EMD) taken with a tender is to
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Answer: D — secure the bid, so the tenderer will not withdraw it and will sign if selected
EMD secures the bid itself: it is forfeited if the tenderer withdraws or refuses to sign after selection, and returned to the unsuccessful. Protection against defects after completion is provided by the performance security and retention, which is the tempting confusion with EMD. It is neither a fee for evaluation nor an advance on profit.A client invites bids for a specialised hospital services package only from contractors on a pre-qualified list. This is
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Answer: B — a limited tender, because bids are restricted to selected, qualified firms
A limited (selective) tender restricts bidding to an approved or pre-qualified list, used for specialised or large works needing proven capacity. An open tender is advertised to any eligible contractor, which is the tempting label because several firms bid; a single tender approaches one contractor only. A percentage-rate contract is a form of pricing, not a method of inviting bids.Under the Arbitration and Conciliation Act, 1996, which statement about an arbitral award is correct?
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Answer: C — It is final and binding, enforceable like a decree, and open to challenge only on limited grounds
The award is final and binding on both parties and enforceable like a court decree; a court may set it aside only on limited grounds such as an invalid agreement, denial of a fair hearing or conflict with public policy. A merits rehearing, the tempting claim, is exactly what arbitration is meant to avoid, and an award binds both sides, not just the appointing party.Which of the following statements about tendering are correct?
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Answer: A — EMD is returned to unsuccessful tenderers and may be forfeited if a tenderer withdraws the bid; B — In a two-envelope system the price bid is opened only for tenderers who pass the technical evaluation
EMD secures the bid and is refunded or forfeited as stated, and the two-envelope method evaluates technical merit before opening any price. The lowest bid is not accepted automatically; capacity, completeness and soundness are checked. Payment on measured quantities at unit rates describes the item-rate contract, whereas a lump-sum contract fixes the price of the whole defined work.Which of the following statements about arbitration and other ways of settling disputes are correct?
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Answer: A — Arbitration rests on a written agreement of the parties to refer their disputes to an arbitral tribunal; C — A settlement reached through conciliation depends on the consent of the parties; D — Both parties must be treated equally and given a full opportunity to present their case
Arbitration needs a written agreement, a conciliation settlement needs the parties’ consent, and equal treatment with a full chance to present the case is a basic rule. An arbitrator is not the appointing party’s representative: independence and impartiality are required, and disclosure of any circumstance that raises doubt about them.Two warehouses have the same plinth area, but one has a clear height of 4 m and the other 9 m. A preliminary estimate of both at a single plinth-area rate is unreliable chiefly because
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Answer: D — the plinth-area rate ignores height, which changes wall, structure and finish costs
A plinth-area rate takes no account of height, yet height changes the wall area, the structure and the finishes. The cubic-content method, which multiplies plinth area by height, captures this. Plinth area is defined from the floor plan at floor level and is perfectly measurable, and the cubic-content method does not ignore height; it is built on it.Which statement distinguishes a detailed specification from a general specification?
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Answer: D — A detailed one is item-wise and forms part of the contract, while a general one gives the broad quality of each part
A detailed specification is item-wise and contractual: materials, proportions, workmanship, tests, and measurement and payment. A general specification describes the broad quality of each part of the building and serves the preliminary estimate and project report. The claims that the detailed one gives only the broad class, or that the general one forms part of the contract, reverse the roles, and a specification is written before construction, as the basis of tender and inspection, not afterwards.Option X for a boiler house costs ₹ 4 lakh and ₹ 0.5 lakh a year to run; option Y costs ₹ 6 lakh and ₹ 0.3 lakh a year. Over 15 years, with costs simply added and no discounting, the lower life-cycle cost is
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Answer: B — that of Y, by ₹ 1.0 lakh, because its running saving outweighs its higher first cost
X: 4 + 0.5 × 15 = 4 + 7.5 = ₹ 11.5 lakh. Y: 6 + 0.3 × 15 = 6 + 4.5 = ₹ 10.5 lakh. Y is lower by ₹ 1.0 lakh even though it costs ₹ 2 lakh more at the start, because it saves ₹ 0.2 lakh a year, ₹ 3 lakh in 15 years. Choosing X on first cost alone is the usual error that life-cycle costing is meant to correct.A two-storey building has an external plan of 15 m × 10 m at plinth level on each floor. The plinth-area rate is ₹ 22,000 per m² for both floors, and a further 10% of the building cost is added for electrical and plumbing services. The total estimate, in ₹ lakh correct to one decimal place, is ____.
Numerical answer — type the value.
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Answer: 72.6
Plinth area per floor = 15 × 10 = 150 m², so for two floors 300 m². Building cost = 300 × 22,000 = ₹ 66,00,000 = 66 lakh. Services at 10% = 6.6 lakh. Total = 66 + 6.6 = ₹ 72.6 lakh. Taking only one floor gives 36.3, and adding 10% twice or forgetting the lakh conversion are other slips.A road cutting 24 m long has end cross-sections of 30 m² and 90 m², and the section at mid-length measures 55 m². The volume of earth by the prismoidal rule, in m³, is ____.
Numerical answer — type the value.
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Answer: 1360
Prismoidal rule: V = (L ÷ 6)(A₁ + 4Aₘ + A₂) = (24 ÷ 6)(30 + 4 × 55 + 90) = 4 × (30 + 220 + 90) = 4 × 340 = 1,360 m³. The end-area rule would give 24 × (30 + 90) ÷ 2 = 1,440 m³, which is the tempting figure but overstates here, because the mid-section of 55 m² is smaller than the mean of the ends, 60 m².In a rate analysis for cement plaster per 10 m², materials cost ₹ 2,400, skilled labour is 1.5 days at ₹ 800, unskilled labour is 2 days at ₹ 600, and water and sundries are ₹ 100. Overheads and profit are added at 15% of the prime cost. The rate per 10 m², in ₹, is ____.
Numerical answer — type the value.
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Answer: 5635
Skilled labour = 1.5 × 800 = 1,200; unskilled = 2 × 600 = 1,200. Prime cost = 2,400 + 1,200 + 1,200 + 100 = ₹ 4,900. Overheads and profit = 15% × 4,900 = 735. Rate = 4,900 + 735 = ₹ 5,635 per 10 m². Adding the percentage to materials alone, or quoting the prime cost of 4,900, are the usual slips.A building costing ₹ 60 lakh has a salvage value of 10% of its cost and a life of 40 years. By the straight-line method, its book value after 15 years, in ₹ lakh correct to two decimal places, is ____.
Numerical answer — type the value.
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Answer: 39.75
Salvage S = 10% of 60 = 6. Annual depreciation D = (C − S) ÷ n = (60 − 6) ÷ 40 = 1.35 lakh. After 15 years the total depreciation is 15 × 1.35 = 20.25, so book value = 60 − 20.25 = ₹ 39.75 lakh. Using 60 ÷ 40 as the yearly charge, which forgets the salvage value, gives 37.5, and quoting the depreciation 20.25 answers a different question.A building lets for a gross rent of ₹ 14 lakh a year. Taxes, repairs, insurance and management cost ₹ 2 lakh a year. Valued by capitalisation at a yield of 8%, its value, in ₹ lakh, is ____.
Numerical answer — type the value.
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Answer: 150
Net annual income = gross rent − outgoings = 14 − 2 = ₹ 12 lakh. Value = net income ÷ yield = 12 ÷ 0.08 = ₹ 150 lakh (years’ purchase = 1 ÷ 0.08 = 12.5, and 12 × 12.5 = 150). Capitalising the gross rent, 14 ÷ 0.08 = 175, overstates the value because the owner never receives the outgoings.Which of the following statements about estimating and the bill of quantities are correct?
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Answer: A — A BOQ lists each item with its unit, quantity, rate and amount, so that all tenderers price the same quantities; C — In the centre-line method the total centre-line length of the walls is multiplied by the section, with a correction at junctions; D — In the prismoidal rule the mid-section area is weighted four times and is the true area at mid-length
A BOQ gives every tenderer identical quantities, the centre-line method multiplies centre-line length by section with junction corrections, and the prismoidal rule weights the true mid-area by four. Contingencies are a provision for unforeseen items inside the estimate; the contractor’s profit is a separate percentage in the rate analysis, so equating them is the tempting slip.