Determine the value of x if 30% of 4200 + 35% of 2400=x% of 4200, find the value of x. 

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  1. 45
  2. 40
  3. 48
  4. 50

Answer (Detailed Solution Below)

Option 4 : 50
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Detailed Solution

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Given:

30% of 4200 + 35% of 2400 = x% of 4200

Formula used:

Percentage calculation: P% of N = (P × N) / 100

Calculation:

30% of 4200 = (30 × 4200) / 100

⇒ 30% of 4200 = 1260

35% of 2400 = (35 × 2400) / 100

⇒ 35% of 2400 = 840

Now, we add these values:

1260 + 840 = 2100

Set this equal to x% of 4200:

x% of 4200 = (x × 4200) / 100

⇒ (x × 4200) / 100 = 2100

⇒ x × 4200 = 210000

⇒ x = 210000 / 4200

⇒ x = 50

∴ The value of x is 50.

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