---
title: "EVA; 60 days, 25% work, Rs 12,00,000"
subject: "Project Engineering"
chapter: 4
key: "semester_7/project_engineering:eva-numerical-60-days-25-percent"
source: https://www.bctengineer.com/q/semester_7/project_engineering/eva-numerical-60-days-25-percent
site: BCT Engineering
---

# EVA; 60 days, 25% work, Rs 12,00,000

Project Engineering · Chapter 4: Project Implementation and Controlling

- Asked in: 2081 Bhadra, 6 marks
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_7/project_engineering/eva-numerical-60-days-25-percent
- Whole chapter: https://www.bctengineer.com/md/semester_7/project_engineering/chapter-4

## Question

A project is undertaken where the work has to be completed within 60 days with a budget of Rs 20,00,000. According to the progress reports, at the end of the first month, only 25% of the total work has been completed and at the cost of Rs 12,00,000. Perform earned value analysis (EVA) for this project.

## Short answer

Planned value at 30 days is Rs 10,00,000, earned value Rs 5,00,000, actual cost Rs 12,00,000. SPI=0.50, CPI=0.42, so project is badly behind schedule and over budget; forecast final cost Rs 48,00,000.

## Answer

#### Given data

BAC = Rs 20,00,000; planned duration = 60 days; at the end of the first month (30 days) 25 % of the work is complete and the cost is Rs 12,00,000. Planned work is assumed uniform, so half of the work is planned in the first month.

#### Calculation

$$
\begin{aligned}
PV &= \frac{30}{60} \times 20{,}00{,}000 = 10{,}00{,}000 \\
EV &= 0.25 \times 20{,}00{,}000 = 5{,}00{,}000 \\
AC &= 12{,}00{,}000
\end{aligned}
$$

$$
\begin{aligned}
SV &= EV - PV = 5{,}00{,}000 - 10{,}00{,}000 = -5{,}00{,}000 \\
CV &= EV - AC = 5{,}00{,}000 - 12{,}00{,}000 = -7{,}00{,}000 \\
SPI &= \frac{EV}{PV} = \frac{5{,}00{,}000}{10{,}00{,}000} = 0.50 \\
CPI &= \frac{EV}{AC} = \frac{5{,}00{,}000}{12{,}00{,}000} = 0.42 \\
EAC &= \frac{BAC}{CPI} = \frac{20{,}00{,}000}{0.4167} = 48{,}00{,}000 \\
ETC &= EAC - AC = 48{,}00{,}000 - 12{,}00{,}000 = 36{,}00{,}000 \\
VAC &= BAC - EAC = 20{,}00{,}000 - 48{,}00{,}000 = -28{,}00{,}000 \\
\text{Forecast duration} &= \frac{60}{SPI} = \frac{60}{0.5000} = 120.0\ \text{days}
\end{aligned}
$$

#### Comment

- **Schedule:** SV = -5,00,000 and SPI = 0.50, so the project is **behind schedule**; only 50 % of the planned work is done. If the same rate continues, the duration becomes 120.0 days against 60 days planned.
- **Cost:** CV = -7,00,000 and CPI = 0.42, so the project is **over budget**; each rupee spent has earned Rs 0.42 of work.
- **Forecast:** EAC = Rs 48,00,000 against BAC = Rs 20,00,000, i.e. a final overrun of Rs 28,00,000.
- **Action:** find the causes (low productivity, idle equipment, material delay, wastage), add resources or shifts on critical activities, tighten supervision and cost control, and revise the plan with the client.

**Answer: SV = Rs -5,00,000, CV = Rs -7,00,000, SPI = 0.50, CPI = 0.42; the project is badly behind schedule and over budget, EAC = Rs 48,00,000.**

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. BAC = Rs 20,00,000 over 60 days; at day 30 the planned value (uniform) is:
   A. Rs 5,00,000
   B. Rs 12,00,000
   C. Rs 10,00,000
   D. Rs 20,00,000
   Answer: C. PV = 30/60 x 20,00,000 = 10,00,000. (Key point: Planned value)

2. With 25% of work complete and Rs 12,00,000 spent, EV is:
   A. Rs 12,00,000
   B. Rs 5,00,000
   C. Rs 10,00,000
   D. Rs 3,00,000
   Answer: B. EV = 25% x BAC = 5,00,000; the 12,00,000 is the actual cost, not EV. (Key point: Earned value)

3. SPI and CPI for this project are about:
   A. SPI = 0.50, CPI = 0.42
   B. SPI = 0.42, CPI = 0.50
   C. SPI = 2.0, CPI = 2.4
   D. SPI = 0.25, CPI = 0.42
   Answer: A. SPI = 5/10 = 0.50 and CPI = 5/12 = 0.42. (Key point: Indices)

4. EAC = BAC/CPI is about Rs 48,00,000. This means:
   A. The project will save Rs 28,00,000
   B. The project will finish on budget
   C. The cost will be 28,00,000 more than the budget if the trend continues
   D. Only Rs 12,00,000 more is needed
   Answer: C. EAC exceeds BAC by 28,00,000, so VAC = -28,00,000; the project is badly over budget and behind schedule. (Key point: Forecast)

## Related in Project Engineering

- [EVA; 60 days, 25% work, 50% budget spent](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-numerical-60-days-half-budget) — Project Engineering, chapter 4
- [EVA application; 35 days, Rs 8,00,000 spent](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-applicable-monitoring-numerical-b82) — Project Engineering, chapter 4
- [EVA and S-curve; Rs 30,00,000, 24 months](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-s-curve-24-months-c76) — Project Engineering, chapter 4
- [EVA; 10 days, 100,000, day 6, Rs 65,000](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-numerical-day6-65000-k80) — Project Engineering, chapter 4
- [EVA; 10 days, 50 labour days at Rs 1000](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-numerical-labour-days-1000) — Project Engineering, chapter 4, asked 2×
- [EPS; total capital Rs 15,00,000](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeps-capital-1500000-pref-loan-a74) — Project Engineering, chapter 6