College P has 180 students scoring average marks of 88 and college Q has 320 students scoring average marks of 72. Find the average marks of both the colleges together.

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  1. 82.00
  2. 75.25
  3. 77.76
  4. 80.00

Answer (Detailed Solution Below)

Option 3 : 77.76
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Calculation:

Total marks of college P is 180 × 88 = 15840

Total marks of college Q is 320 × 72 = 23040

Total number of students is 320 + 180 = 500

Average will be , \(23040+15840\over500\) = 77.76

∴ The correct option is 3

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