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The average marks of Bunty, Shunty & Chunky in an exam is 90 while that of Dumpty is 20% more marks than of Shunty. If average marks of Bunty & Chunky is 95. Find average marks of all four.?
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The average marks of Bunty, Shunty & Chunky in an exam is 90 while tha...
Given Information:
- Average marks of Bunty, Shunty & Chunky = 90
- Dumpty scored 20% more marks than Shunty
- Average marks of Bunty & Chunky = 95

Solution:

Step 1: Calculate Shunty's Marks
Let the marks of Shunty be x.
Therefore, average marks of Bunty, Shunty & Chunky = (Bunty + Shunty + Chunky)/3 = 90
=> (Bunty + x + Chunky)/3 = 90
=> Bunty + x + Chunky = 270

Step 2: Calculate Dumpty's Marks
Dumpty scored 20% more marks than Shunty
Therefore, Dumpty's marks = x + 0.20x = 1.20x

Step 3: Calculate Total Marks
Average marks of Bunty & Chunky = 95
=> (Bunty + Chunky)/2 = 95
=> Bunty + Chunky = 190
Now, we have:
Bunty + x + Chunky = 270
Bunty + Chunky = 190
Subtracting the second equation from the first, we get:
x = 80 (Shunty's marks)
Now, using x = 80, we can find:
Dumpty's marks = 1.20 * 80 = 96

Step 4: Calculate Average Marks of all Four
Total marks of all four = Bunty + Shunty + Chunky + Dumpty
= 190 + 80 + 190 + 96
= 556
Average marks of all four = Total marks of all four / 4
= 556 / 4
= 139
Therefore, the average marks of all four students is 139.
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The average marks of Bunty, Shunty & Chunky in an exam is 90 while that of Dumpty is 20% more marks than of Shunty. If average marks of Bunty & Chunky is 95. Find average marks of all four.?
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