The following table presents the details about the number of software…
2023
The following table presents the details about the number of software development projects handled by two software companies A and B over five years from 2016 to 2020. Both the companies are engaged in handling both Government Projects (GPs) as well as Non-Governmental Projects (NGPs). Based on the data in the table, answer the question that follows.
Year-wise handling of Projects
Year | Software Company A | Software Company B |
|---|---|---|
2016 | 180 | 130 |
2017 | 230 | 320 |
2018 | 360 | 210 |
2019 | 250 | 190 |
2020 | 300 | 350 |
The number of projects handled by Company B decreased by what percent from 2017 to 2019?
Answer: A. 40 \(\frac{5}{8}\)% — ConceptFor a quantity that falls from an original value to a new value, percentage decrease is measured against the original value. Percentage decrease =…
- A.
40 \(\frac{5}{8}\)%
- B.
45 \(\frac{3}{8}\)%
- C.
35 \(\frac{5}{8}\)%
- D.
30 \(\frac{7}{8}\)%
Show answer & explanation
Correct answer: A
Concept
For a quantity that falls from an original value to a new value, percentage decrease is measured against the original value.
Percentage decrease = ((original value - new value) / original value) × 100.
Application
From the table, Company B handled 320 projects in 2017 and 190 projects in 2019.
The decrease is 320 - 190 = 130 projects.
Using 320 as the original value, percentage decrease = (130 / 320) × 100.
Simplifying gives (13 / 32) × 100 = 40.625% = 40 \(\frac{5}{8}\)%.
Cross-check
Applying 40.625% to the original 320 gives 0.40625 × 320 = 130; subtracting 130 from 320 returns 190.
Therefore, the number of projects handled by Company B decreased by 40 \(\frac{5}{8}\)%.