---
title: "EVA; 60 days, 25% work, 50% budget spent"
subject: "Project Engineering"
chapter: 4
key: "semester_7/project_engineering:eva-numerical-60-days-half-budget"
source: https://www.bctengineer.com/q/semester_7/project_engineering/eva-numerical-60-days-half-budget
site: BCT Engineering
---

# EVA; 60 days, 25% work, 50% budget spent

Project Engineering · Chapter 4: Project Implementation and Controlling

- Asked in: 2081 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-60-days-half-budget
- 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 20,000. The cost breakdown per month is Rs 10,000. The work scheduled in each month is half of the total work to be completed. According to the progress reports, at the end of the first month, only 25% of the total work has been completed and 50% of the total budget has been spent. Also, for the completion of 25% work, the actual cost incurred is 50% of the total budgeted cost. Perform EVA and comment on performance.

## Short answer

PV=Rs 10,000, EV=Rs 5,000, AC=Rs 10,000; SPI=CPI=0.50, project behind schedule and over budget, with forecast cost Rs 40,000 (double budget).

## Answer

#### Given data

BAC = Rs 20,000; duration = 60 days (2 months); cost breakdown Rs 10,000 per month; half of the work is scheduled in each month. At the end of month 1: work done = 25 %; spent = 50 % of the budget.

#### Calculation

$$
\begin{aligned}
PV &= 50\%\ \text{of}\ 20{,}000 = 10{,}000 \\
EV &= 25\%\ \text{of}\ 20{,}000 = 5{,}000 \\
AC &= 50\%\ \text{of}\ 20{,}000 = 10{,}000
\end{aligned}
$$

$$
\begin{aligned}
SV &= EV - PV = 5{,}000 - 10{,}000 = -5{,}000 \\
CV &= EV - AC = 5{,}000 - 10{,}000 = -5{,}000 \\
SPI &= \frac{EV}{PV} = \frac{5{,}000}{10{,}000} = 0.50 \\
CPI &= \frac{EV}{AC} = \frac{5{,}000}{10{,}000} = 0.50 \\
EAC &= \frac{BAC}{CPI} = \frac{20{,}000}{0.5000} = 40{,}000 \\
ETC &= EAC - AC = 40{,}000 - 10{,}000 = 30{,}000 \\
VAC &= BAC - EAC = 20{,}000 - 40{,}000 = -20{,}000 \\
\text{Forecast duration} &= \frac{60}{SPI} = \frac{60}{0.5000} = 120.0\ \text{days}
\end{aligned}
$$

#### Comment

- **Schedule:** SV = -5,000 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 = -5,000 and CPI = 0.50, so the project is **over budget**; each rupee spent has earned Rs 0.50 of work.
- **Forecast:** EAC = Rs 40,000 against BAC = Rs 20,000, i.e. a final overrun of Rs 20,000.
- **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 -5,000, CV = Rs -5,000, SPI = 0.50, CPI = 0.50; behind schedule and over budget; EAC = Rs 40,000, double the budget.**

## Check yourself

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

1. Half the work is scheduled each month; BAC = Rs 20,000. PV at end of month 1 is:
   A. Rs 5,000
   B. Rs 20,000
   C. Rs 10,000 only if work is 25% done
   D. Rs 10,000
   Answer: D. Planned work by month 1 is 50% of the budget, so PV = 10,000. (Key point: PV from monthly plan)

2. 25% work done with 50% of budget spent gives:
   A. EV = 5,000, AC = 10,000
   B. EV = 10,000, AC = 5,000
   C. EV = 5,000, AC = 5,000
   D. EV = 10,000, AC = 10,000
   Answer: A. EV is based on work done (25% x 20,000 = 5,000); AC is the money spent (50% = 10,000). (Key point: EV versus AC)

3. SPI and CPI are:
   A. SPI = 2, CPI = 1
   B. SPI = 0.50, CPI = 0.50
   C. SPI = 0.25, CPI = 0.50
   D. SPI = 0.50, CPI = 1
   Answer: B. SPI = 5,000/10,000 = 0.5 and CPI = 5,000/10,000 = 0.5. (Key point: Performance indices)

4. With CPI = 0.5, the forecast final cost EAC is:
   A. Rs 20,000
   B. Rs 30,000
   C. Rs 10,000
   D. Rs 40,000
   Answer: D. EAC = BAC/CPI = 20,000/0.5 = 40,000, double the budget. (Key point: Forecast)

## Related in Project Engineering

- [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 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; 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; 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, 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 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