The average monthly income of the father and mother is Rs. 5,000. The average monthly income of the mother and her son is Rs. 6,000. The average monthly income of the father and his son is Rs. 10,000. Find the monthly income (in Rs.) of the father.

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 4)
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  1. 9000
  2. 8000
  3. 12000
  4. 10000

Answer (Detailed Solution Below)

Option 1 : 9000
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Detailed Solution

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Given:

The average monthly income of the father and mother is Rs. 5,000

The average monthly income of the mother and her son is Rs. 6,000

The average monthly income of the father and his son is Rs. 10,000

Formula used:

Average = Sum of numbers/numbers of units

Calculation

The monthly income of the father and mother = 2 × 5,000

= 10000

The monthly income of the mother and her son = 2 × 6,000

= 12000

The monthly income of the father and his son = 2 × 10,000

= 20000

The monthly income of the family = (10000 + 12000 + 20000)/2

= 21000

The monthly income (in Rs.) of the father = 21000 - 12000

= 9000

The answer is 9000.

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