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The average weight of 4 persons increases by 3 kg when a person of 53 kg is replaced by a new person. The weight (in kg) of the new person is :
Question

The average weight of 4 persons increases by 3 kg when a person of 53 kg is replaced by a new person. The weight (in kg) of the new person is :

A.

62

B.

65

C.

67

D.

68

Correct option is B

Given:

Increase in average weight = 3 kg

Number of persons = 4

Weight of the person replaced = 53 kg

Formula Used:

Total increase in weight = Increase in average × Number of persons

Weight of new person = Weight of replaced person + Total increase in weight


Solution:

Total increase in weight = 3×4=12 kg3 \times 4 = 12 \text{ kg}​​

Weight of new person = 53+12=65 kg53 + 12 = 65 \text{ kg}​​

The weight of the new person is 65 kg.65 \text{ kg}.​​

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