Question

The average weight of 13 parcels comes out to be 15 kg. If on e parcel goes missing, the average weight  gets reduced by 1.5 kg, then find out the weight of missing parcel.

1. 33 kgs
2. 57 kgs
3. 53 kgs
4. 45 kgs

Answer 1

Correct Answer - Option 1 : 33 kgs

Given:

Average weight of 13 parcels = 15 kg

Decrease in average weight = 1.5 kg

Formula Used:

Average = Sum of weights/Number of parcels

Calculations:

Let the weight of missing parcel be x kg.

Average weight of 13 parcels = 15 kg

⇒ Total weight of 13 parcels = 15 × 13 = 195 kg      ----(1)

Decrease in average weight = 1.5 kg

⇒ Reduced average weight = (15 - 1.5)kg = 13.5 kg   

Total number of parcels = 13 - 1 = 12 

⇒ Total weight after missing of a parcel = 13.5 × 12 = 162 kg      ----(2)

Weight of missing parcel = (1) - (2)

⇒ Weight of missing parcel = (195 - 162) kgs

⇒ Weight of missing parcel = 33 kgs

∴ The weight of missing parcel is 33 kgs.