The prize money Rs. 60,000 will be distributed among the eight teams according to their positions determined in the match-series award increase by the same amount each higher position. If last place team is given Rs. 4000. How much awarded to the first place team?

Explanation

1.  The last place team (8th position) gets Rs. 4000.

2. The prize money increases by the same amount for each higher position.

3. There are 8 teams, so we need to find the increase in prize money per position.

4. Let's assume the increase per position is x.

5. The 7th position team gets Rs. 4000 + x = ?

6. The 6th position team gets Rs. 4000 + 2x = ?

7. ...

8. The 1st position team gets Rs. 4000 + 7x = ?

We know the total prize money is Rs. 60,000. Let's add up the prize money for each position:
Rs. 4000 + (Rs. 4000 + x) + (Rs. 4000 + 2x) + ... + (Rs. 4000 + 7x) = Rs. 60,000
Combine like terms:
8(Rs. 4000) + 28x = Rs. 60,000
Simplify:
Rs. 32,000 + 28x = Rs. 60,000
Subtract Rs. 32,000 from both sides:
28x = Rs. 28,000
Divide by 28:
x = Rs. 1000
Now we know the increase per position is Rs. 1000.
The 1st position team gets:
Rs. 4000 + 7x = Rs. 4000 + 7(Rs. 1000) = Rs. 4000 + Rs. 7000 = Rs. 11,000

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