The average weight of 4 persons is increased by 14 kg when one of them whose weight is 55 kg, is replaced by another person. What is the weight (in kg) of the new person? 

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 24 Jun, 2024 Shift 1)
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  1. 111
  2. 85
  3. 56
  4. 98

Answer (Detailed Solution Below)

Option 1 : 111
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Detailed Solution

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Given:

The average weight of 4 persons is increased by 14 kg when one of them whose weight is 55 kg, is replaced by another person.

Formula used:

New person's weight = Old person's weight + Increase in total weight

Calculation:

Increase in average weight = 14 kg

Number of persons = 4

Total increase in weight = 14 × 4 = 56 kg

Old person's weight = 55 kg

⇒ New person's weight = 55 + 56

⇒ New person's weight = 111 kg

∴ The correct answer is option 1.

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