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Que: In a stadium, the Royal Challengers team had the support of 24,500 spectators from natives......

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Que: In a stadium, the Royal Challengers team had the support of 24,500 spectators from natives......

by Max@Math Revolution » Thu Dec 24, 2020 11:53 pm

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Que: In a stadium, the Royal Challengers team had the support of 24,500 spectators from natives and 10 percent of spectators from other than natives. If S is the total number of spectators in the stadium and 40 percent belonged to natives, in terms of S, which of the following represents the number of supporters for the Royal Challengers team?

(A) 0.6S + 12, 250
(B) 0.28S + 12, 250
(C) 0.28S + 24, 500
(D) 0.06S + 24, 500
(E) 0.6S + 24, 500
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Re: Que: In a stadium, the Royal Challengers team had the support of 24,500 spectators from natives......

by Max@Math Revolution » Sat Dec 26, 2020 11:02 pm
Solution: Total number of spectators = S

Since 40% of the spectators belonged to natives, percent of other than native spectators = (100 − 40) = 60%.

Thus, the number of other than native spectators = 60% of S = 0.6S

Of the above, Royal Challengers had the support of 10%.

Thus, the number of other than native supporters = 10% of 0.6S = 0.06S [Part becomes the whole]

Number of native supporters = 24,500

Thus, total number of supporters = 0.06S + 24, 500

Therefore, D is the correct answer.

Answer D
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