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In a football league the ratio of ticket price of 1st and 2nd match is 9 ∶ 11 and numbers of spectators visited in 1st and 2nd match are in ratio of 20 ∶ 17. If revenue generated from 1st match is Rs 45900, what is the revenue generated from second match?

In a football league the ratio of ticket price of 1st and 2nd match is 9 ∶ 11 and numbers of spectators visited in 1st and 2nd match are in ratio of 20 ∶ 17. If revenue generated from 1st match is Rs 45900, what is the revenue generated from second match? Correct Answer 47685

Short Trick:

⇒ 9x × 20y = 45900

⇒ xy = 255

∴ Revenue generated from second match = 11x × 17y = Rs 11 × 17 × 255 = Rs 47685

Detailed Solution:

Let ticket price of first match be Rs 9x

Ticket price of second match be Rs 11x

Let no. of spectators visited first match be 20y

No. of spectators visited second match be 17y

∴ Revenue generated from first match = Rs 9x × 20y = Rs 180xy

According to the question,

⇒ 180xy = 45900

⇒ xy = 255

∴ Revenue generated from second match = 11x × 17y = Rs 11 × 17 × 255 = Rs 47685

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