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The average weight of 32 parcels was recorded as 96 kg. If the weight of one more parcel is included, the average is increased by 2 kg. The weight of
Question

The average weight of 32 parcels was recorded as 96 kg. If the weight of one more parcel is included, the average is increased by 2 kg. The weight of the new parcel is:

A.

192 kg

B.

162 kg

C.

182 kg

D.

172 kg

Correct option is B

Given:

Initial average weight = 96 kg

Number of parcels initially = 32

New average after adding one parcel = 98 kg

Total parcels after addition = 33

Formula Used:

New parcel weight = (New average × New total parcels) − (Old average × Old total parcels)

Solution:

New parcel weight = (98 × 33) − (96 × 32)

= 3234 – 3072

= 162 kg

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