Explanation:

Let’s break down the information step-by-step:

- A: Total manufactured = 120, Unsold = 30 ? Sold = 120 - 30 = 90

- B & D: Total manufactured together = 260

- B: Ratio Sold : Unsold = 3:1 ? let sold = 3k, unsold = k, so total = 4k.

- C: Total manufactured = 150. Difference between unsold and sold = 90. Since sold > unsold possible only if sold – unsold = 90:

Sold = x, Unsold = 150 - x, x - (150 - x) = 90 ? 2x - 150 = 90 ? 2x = 240 ? x = 120

So, C: Sold = 120, Unsold = 30

Also, total from D = 150 + 12 = 162 (Products sold by D = 162)

- B & D total = 260, D manufactured = 260 - B manufactured.

- B total = 4k ? D total = 260 - 4k

Now info on unsold by B and D: |B unsold - D unsold| = 2

- For B: unsold = k

- For D: manufactured = 260 - 4k. Sold = 162, so unsold = (260 - 4k) - 162 = 98 - 4k

So |k - (98 - 4k)| = 2 ? k - 98 + 4k = 2 or -(k - 98 + 4k) = 2

5k - 98 = 2 ? 5k = 100 ? k = 20

Now, B: unsold = 20, sold = 60, total = 80

D: manufactured = 260 - 80 = 180

Sold = 162 ? unsold = 18

Crosscheck everything:

A: 90/30 ; B: 60/20 ; C: 120/30 ; D: 162/18

x% for A to B sold: 90 = x% of 60 ? x = 150

E: Manufactured by E = triple of D = 3 × 180 = 540

Sold by E = 2x = 2 × 150 = 300

So, unsold = 540 - 300 = 240

So the correct option is:

- 1: 60

- 2: 80

- 3: 100

- 4: 120

- 5: 240

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Summary of statements:

- Calculated all company stats from ratios and difference clues.

- Used equations to fix each variable.

- Checked each derived number for mismatch or error.

- For E, applied direct multiplication and answered via subtraction.

Correct option:

Option 5 (240)