The average weight of 5 men decreases by 3 kg when one of them weighing 150 kg is replaced by another person. Find the weight of the new person.

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 2)
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  1. 125 kg
  2. 100 kg
  3. 120 kg
  4. 135 kg

Answer (Detailed Solution Below)

Option 4 : 135 kg
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Detailed Solution

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Given:

The average weight of 5 men decreases by 3 kg when one of them weighing 150 kg is replaced by another person.

Concept used:

Total = Average × Number of entities

Calculation:

Let the initial average of 5 men and the weight of the new person be N and P respectively.

​According to the question,

5N - 150 + P = 5(N - 3)

⇒ P = 150 - 15

⇒ P = 135

∴ The weight of the new person is 135 kg.

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