Study the given information and answer the questions that follows: There are 800 players in a stadium who are participating in 4 sports- A,B,C and D (one person in one sport only). The ratio of male to female players is 9:7. The ratio of male players who are participating in sport A to other male players who are participating in other three sports is 4:5. 12% of the male players who are not participating in A, are participating in sport D. The remaining male players are participating in sports B and C in the ratio 5:6. 48% of the female players are participating in sport A and 22 female players are participating in sport B. The remaining female players are participating in sport C and D in the ratio 7:9. Q. What is the ratio of the number of male players participating in sport C to the number of female players participating in sport D? Question 2Answer a. 10 : 9 b. 4 : 3 c. 7 : 5 d. 3 : 2
Question
Study the given information and answer the questions that follows:
There are 800 players in a stadium who are participating in 4 sports- A,B,C and D (one person in one sport only). The ratio of male to female players is 9:7. The ratio of male players who are participating in sport A to other male players who are participating in other three sports is 4:5.
12% of the male players who are not participating in A, are participating in sport D. The remaining male players are participating in sports B and C in the ratio 5:6.
48% of the female players are participating in sport A and 22 female players are participating in sport B. The remaining female players are participating in sport C and D in the ratio 7:9.
Q. What is the ratio of the number of male players participating in sport C to the number of female players participating in sport D?
Question 2Answer
a. 10 : 9
b. 4 : 3
c. 7 : 5
d. 3 : 2
Solution
Let's solve this step by step:
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The total number of players is 800. The ratio of male to female players is 9:7. So, let's find the number of male and female players:
Total parts = 9 (male) + 7 (female) = 16 parts
So, 1 part = 800 / 16 = 50
Therefore, the number of male players = 9 parts * 50 = 450
And, the number of female players = 7 parts * 50 = 350
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The ratio of male players in sport A to other sports is 4:5. So, the number of male players in sport A = 4/9 * 450 = 200. And, the number of male players in other sports = 450 - 200 = 250.
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12% of the male players not in sport A are in sport D. So, the number of male players in sport D = 12/100 * 250 = 30. The remaining male players are in sports B and C in the ratio 5:6. So, the number of male players in sport B = 5/11 * (250 - 30) = 100. And, the number of male players in sport C = 6/11 * (250 - 30) = 120.
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48% of the female players are in sport A. So, the number of female players in sport A = 48/100 * 350 = 168. And, 22 female players are in sport B. So, the remaining female players = 350 - 168 - 22 = 160. These are in sports C and D in the ratio 7:9. So, the number of female players in sport C = 7/16 * 160 = 70. And, the number of female players in sport D = 9/16 * 160 = 90.
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Now, we can find the ratio of the number of male players in sport C to the number of female players in sport D = 120 : 90 = 4 : 3.
So, the answer is (b) 4 : 3.
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