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 |
If the number of projects to be handled by Company A will increase by 20% from 2020 to 2021 and by 5% from 2021 to 2022, then what will be the number of projects to be handled by Company A in 2022?
Answer: A. 378 — CONCEPTA percentage increase changes a quantity by a multiplier. An increase of r% multiplies the current quantity by (1 + r/100). For successive increases,…
- A.
378
- B.
372
- C.
396
- D.
368
Show answer & explanation
Correct answer: A
CONCEPT
A percentage increase changes a quantity by a multiplier. An increase of r% multiplies the current quantity by (1 + r/100).
For successive increases, apply each multiplier to the updated quantity; the percentage rates are not simply applied to the original value.
APPLICATION
Let the 2020 number of projects be P₀ = 300.
After the 20% increase, P₁ = 300 × 1.20 = 360 projects in 2021.
After the next 5% increase, P₂ = 360 × 1.05 = 378 projects in 2022.
CROSS-CHECK
The combined multiplier is 1.20 × 1.05 = 1.26, equivalent to a 26% total increase. Thus, 300 × 1.26 = 378, confirming the stepwise result.
Therefore, Company A will handle 378 projects in 2022.