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
