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 L represents the total number of projects handled by company A in 2018 and 2019 together and M represents 20% of L as the number of GPs, then L-M = ________.

Answer: B. 488CONCEPTA percentage represents a part out of 100. To find p% of a quantity Q, compute (p/100) × Q. When a part M is removed from a total L, the remainder is L…

  1. A.

    454

  2. B.

    488

  3. C.

    478

  4. D.

    466

Show answer & explanation

Correct answer: B

CONCEPT

A percentage represents a part out of 100. To find p% of a quantity Q, compute (p/100) × Q.

When a part M is removed from a total L, the remainder is L − M; equivalently, it is (100% − p%) of L.

APPLICATION

  1. From the table, company A handled 360 projects in 2018 and 250 projects in 2019, so L = 360 + 250 = 610.

  2. The number of government projects is M = 20% of 610 = (20/100) × 610 = 122.

  3. Substituting these values gives L − M = 610 − 122.

CROSS-CHECK

Keeping 80% of L gives (80/100) × 610 = 488, which agrees with the subtraction.

RESULT

Therefore, L − M = 488.

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