The ratio of the weight of Ram, Shyam and Mohan is 7 âˆ¶ 8 âˆ¶ 5 respectively. The average weight of Ram, Shyam and Mohan is 80 kg. What is the average weight of Ram and Shyam?

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SSC GD Constable (2022) Official Paper (Held On : 16 Jan 2023 Shift 4)
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  1. 95 kg
  2. 80 kg
  3. 90 kg
  4. 85 kg

Answer (Detailed Solution Below)

Option 3 : 90 kg
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Detailed Solution

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Given Data:

The ratio of weights of Ram, Shyam, and Mohan: 7 : 8 : 5

The average weight of Ram, Shyam, and Mohan: 80 kg

Concept Used: Ratio and Proportion, and Average Formula

Solution:

Total ratio units = 7 + 8 + 5 = 20 units

Total weight of Ram, Shyam, and Mohan = 80 kg x 3 = 240 kg

Weight of one ratio unit = 240 kg / 20 units = 12 kg/unit

Combined weight of Ram and Shyam = (7 units + 8 units) x 12 kg/unit = 180 kg

Average weight of Ram and Shyam = Combined weight / Number of people = 180 kg / 2 = 90 kg

Therefore, the average weight of Ram and Shyam is 90 kg.

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