The line chart given below shows the production of 6 companies in 2 years P…

2024

The line chart given below shows the production of 6 companies in 2 years P and Q.

image.png

J1 = The total production of all companies in year P. J2 = The total production of all companies in year Q. What is the value of (J2 − J1)?

  1. A.

    125

  2. B.

    100

  3. C.

    150

  4. D.

    85

Attempted by 24 students.

Show answer & explanation

Correct answer: A

Solution

Let J1 be the total production of all six companies in year P and J2 be the total production of all six companies in year Q.

From the line chart:

Production in year P:

Company A = 160
Company B = 50
Company C = 40
Company D = 35
Company E = 48
Company F = 52

Therefore,

J1 = 160 + 50 + 40 + 35 + 48 + 52
= 210 + 40 + 35 + 48 + 52
= 250 + 35 + 48 + 52
= 285 + 48 + 52
= 333 + 52
= 385

Production in year Q:

Company A = 68
Company B = 72
Company C = 60
Company D = 170
Company E = 96
Company F = 44

Therefore,

J2 = 68 + 72 + 60 + 170 + 96 + 44
= 140 + 60 + 170 + 96 + 44
= 200 + 170 + 96 + 44
= 370 + 96 + 44
= 466 + 44
= 510

Now,

J2 − J1 = 510 − 385
= 125

Therefore, the value of (J2 − J1) is 125.

Answer: A) 125

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