---
title: "EVA; 10 days, 100,000, day 6, Rs 65,000"
subject: "Project Engineering"
chapter: 4
key: "semester_7/project_engineering:eva-numerical-day6-65000-k80"
source: https://www.bctengineer.com/q/semester_7/project_engineering/eva-numerical-day6-65000-k80
site: BCT Engineering
---

# EVA; 10 days, 100,000, day 6, Rs 65,000

Project Engineering · Chapter 4: Project Implementation and Controlling

- Asked in: 2080 Baisakh, 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-day6-65000-k80
- Whole chapter: https://www.bctengineer.com/md/semester_7/project_engineering/chapter-4

## Question

You have a project that is scheduled to be completed in 10 days at a budgeted cost of Rs 100,000. After the completion of 6 days, you do an analysis and you determine the job is 70% of work complete and the expenditure is Rs 65,000. Based on this data, is your work performance on track? Perform EVA and comment on your own performance.

## Short answer

PV=Rs 60,000, EV=Rs 70,000, AC=Rs 65,000; SPI=1.17, CPI=1.08. Project is ahead of schedule and slightly under budget, forecast EAC Rs 92,857.

## Answer

#### Given data

BAC = Rs 1,00,000; duration = 10 days; at day 6: work done = 70 %, expenditure = Rs 65,000. Planned work is assumed uniform with time.

#### Calculation

$$
\begin{aligned}
PV &= \frac{6}{10} \times 100{,}000 = 60{,}000 \\
EV &= 0.70 \times 100{,}000 = 70{,}000 \\
AC &= 65{,}000
\end{aligned}
$$

$$
\begin{aligned}
SV &= EV - PV = 70{,}000 - 60{,}000 = 10{,}000 \\
CV &= EV - AC = 70{,}000 - 65{,}000 = 5{,}000 \\
SPI &= \frac{EV}{PV} = \frac{70{,}000}{60{,}000} = 1.17 \\
CPI &= \frac{EV}{AC} = \frac{70{,}000}{65{,}000} = 1.08 \\
EAC &= \frac{BAC}{CPI} = \frac{1{,}00{,}000}{1.0769} = 92{,}857 \\
ETC &= EAC - AC = 92{,}857 - 65{,}000 = 27{,}857 \\
VAC &= BAC - EAC = 1{,}00{,}000 - 92{,}857 = 7{,}143 \\
\text{Forecast duration} &= \frac{10}{SPI} = \frac{10}{1.1667} = 8.6\ \text{days}
\end{aligned}
$$

#### Comment on performance

- **Schedule:** SV = 10,000 and SPI = 1.17, so the project is **ahead of schedule**; 117 % of the planned work is done. At this rate the work could finish in about 8.6 days against 10 days planned.
- **Cost:** CV = 5,000 and CPI = 1.08, so the project is **under budget**; each rupee spent has earned Rs 1.08 of work.
- **Forecast:** EAC = Rs 92,857 against BAC = Rs 1,00,000, i.e. a final saving of Rs 7,143.

Yes, the work performance is **on track and better than planned**: it is ahead of schedule and under budget. The margin on cost is smaller than the margin on time (CPI = 1.08 against SPI = 1.17), so the manager should keep a watch on spending and keep the quality standard while the work goes ahead.

**Answer: SV = Rs 10,000, CV = Rs 5,000, SPI = 1.17, CPI = 1.08; EAC = Rs 92,857.**

## Check yourself

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

1. BAC = Rs 1,00,000, 70% done, AC = Rs 65,000. CV and CPI are:
   A. CV = -5,000, CPI = 0.93
   B. CV = +10,000, CPI = 1.17
   C. CV = +5,000, CPI = 1.08
   D. CV = +5,000, CPI = 0.93
   Answer: C. EV = 70,000; CV = 70,000 - 65,000 = 5,000; CPI = 70,000/65,000 = 1.08. (Key point: Cost indicator)

2. At day 6 of 10, SPI is 1.17. This means:
   A. Behind schedule
   B. On schedule
   C. Over budget
   D. Ahead of schedule
   Answer: D. SPI above 1 (EV 70,000 over PV 60,000) shows ahead of schedule. (Key point: Schedule indicator)

3. EAC = BAC/CPI for this project is about:
   A. Rs 92,857, a saving of Rs 7,143
   B. Rs 1,07,692
   C. Rs 78,571
   D. Rs 65,000
   Answer: A. EAC = 1,00,000/1.0769 = 92,857, so VAC = +7,143. (Key point: Forecast)

4. Why should the manager still watch spending here?
   A. The project is over budget
   B. The cost margin (CPI 1.08) is smaller than the time margin (SPI 1.17)
   C. The schedule is behind
   D. CPI is below 1
   Answer: B. Performance is on track, but the cost margin is smaller than the time margin, so spending and quality need watching. (Key point: Interpreting margins)

## Related in Project Engineering

- [EVA; 10 days, 100,000, day 6, spi and cpi](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-numerical-day6-spi-cpi-b80) — Project Engineering, chapter 4
- [EVA; 60 days, 25% work, Rs 12,00,000](https://www.bctengineer.com/question.md?key=semester_7%2Fproject_engineering%3Aeva-numerical-60-days-25-percent) — Project Engineering, chapter 4
- [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; 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×
- [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

## Related in other subjects

- [EVA numerical with five activities at day 5](https://www.bctengineer.com/question.md?key=semester_8%2Fconstruction_management%3Aeva-numerical-2070-magh) — Construction Management, chapter 7