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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?
Correct answer is '11'. Can you explain this answer?

Answers

Given
Last team received $40,000.
Champion team received $65,000.
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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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?Correct answer is '11'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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?Correct answer is '11'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?Correct answer is '11'. Can you explain this answer?.
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GivenLast team received $40,000.Champion team received $65,000.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 = 65,000Let the number of terms be n. Then,an = 65000a + (n − 1)d = 65000⇒ 40000 + (n − 1) × 2500 = 65000⇒ (n − 1) × 2500 = 65000 − 40000⇒ (n − 1) = 25000/2500⇒ n − 1 = 10⇒ n = 10 + 1n = 11∴ 11 teams participated in Football World Cup.Hence, the correct answer is 11.