There are 10 bangles in a gift box. The average weight of the first 4 bangles is 30 gm and the average weight of the remaining 6 bangles is 31 gm. Find the total average weight (in gm) of all the bangles?

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RPF SI (2018) Official Paper (Held On: 19 Dec, 2018 Shift 1)
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  1. 30
  2. 31.6
  3. 31
  4. 30.6

Answer (Detailed Solution Below)

Option 4 : 30.6
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Detailed Solution

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Given:

There are 10 bangles in a gift box.

The average weight of the first 4 bangles is 30 gm.

The average weight of the remaining 6 bangles is 31 gm.

Concept and Formula Used:

The average weight of a set of items is the total weight of the items divided by the number of items.

Total average weight = (Total weight of all bangles) / (Number of bangles)

Calculation:

Let the total weight of the first 4 bangles be W1 gm.

Let the total weight of the remaining 6 bangles be W2 gm.

⇒ W1 = 4 × 30 = 120 gm

⇒ W2 = 6 × 31 = 186 gm

Total weight of all bangles = W1 + W2

⇒ Total weight = 120 + 186 = 306 gm

Total number of bangles = 10

Total average weight = (Total weight of all bangles) / (Number of bangles)

⇒ Total average weight = 306 / 10 = 30.6 gm

∴ The total average weight of all the bangles is 30.6 gm.

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