In a football World Cup several teams partic...

### Related Test

In a football World Cup several teams participated. If the last place team in the point table receive \$40,000 as a prize money and the award increases by \$2500 for the successive finishing places. The champion team receives \$65,000. Find how many teams participated in the world cup?

Given
Award increases by \$2500 for the successive finishing places.
Prizes received by the teams in increasing order are, \$40,000, \$42500, \$4500, \$47500,
This is an A.P. with a = 40,000, d = 2500 and I = 65,000
Let the number of terms be n. Then,
an = 65000
a + (n − 1)d = 65000
⇒ 40000 + (n − 1) × 2500 = 65000
⇒ (n − 1) × 2500 = 65000 − 40000
⇒ (n − 1) = 25000/2500
⇒ n − 1 = 10
⇒ n = 10 + 1
n = 11
∴ 11 teams participated in Football World Cup.
Hence, the correct answer is 11.

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