The average weight of apples in a basket is 50 kg. 6 more apples with the average weight of 60 kg are added in the basket. If the average weight of the basket is increased by 5 kg, then find the number of apples in the basket originally.

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SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 4)
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  1. 4
  2. 6
  3. 2
  4. 8

Answer (Detailed Solution Below)

Option 2 : 6
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Detailed Solution

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Given:

The average weight of apples in the original basket = 50 kg

Additional apples added = 6

The average weight of the additional apples = 60 kg

Increase in average weight = 5 kg

Formula:

To calculate the average, we divide the sum of all the values by the total number of values.

Solution:

Let's assume the number of apples in the original basket is 'n'.

(50n + 6 × 60)/(n + 6) = 50 + 5

(50n + 360)/(n + 6) = 55

50n + 360 = 55n + 330

5n = 30

n = 6

Therefore, the number of apples in the basket originally is 6.

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