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In the annual function at a school, 504 children participated.
The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.
Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?
- a)18.5%
- b)22.5%
- c)16.5%
- d)26.5%
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In the annual function at a school, 504 children participated.The rat...
Given information:
- Total number of children participating in the annual function = 504
- Ratio of girls to boys = 5 : 3
Step 1: Finding the number of girls and boys
- Let the number of girls be 5x and the number of boys be 3x.
- According to the given information, 5x + 3x = 504
- Simplifying, we get 8x = 504
- Dividing both sides by 8, we get x = 63
- Therefore, the number of girls = 5x = 5 * 63 = 315
- And the number of boys = 3x = 3 * 63 = 189
Step 2: Finding the number of girls participating in each activity
- 20% of the girls participated in dance, so the number of girls participating in dance = 20% of 315 = 0.2 * 315 = 63
- Remaining girls participated in solo song, group song, and drama in the ratio of 2 : 3 : 4.
- Let the common ratio be 1, so the number of girls participating in solo song = 2 * 1 = 2
- The number of girls participating in group song = 3 * 1 = 3
- And the number of girls participating in drama = 4 * 1 = 4
Step 3: Finding the number of boys participating in each activity
- Two-thirds of the boys participated in group song, so the number of boys participating in group song = 2/3 * 189 = 126
- Remaining boys participated in solo song and dance in the ratio of 4 : 5.
- Let the common ratio be 1, so the number of boys participating in solo song = 4 * 1 = 4
- And the number of boys participating in dance = 5 * 1 = 5
So, the approximate percentage of boys participating in dance out of the total number of boys is:
Step 4: Calculating the percentage
- Total boys participating in dance = 5
- Total number of boys = 189
- Percentage of boys participating in dance = (5 / 189) * 100 ≈ 2.65%
Therefore, the approximate percentage of boys participating in dance out of the total number of boys is approximately 2.65%.
- Total number of children participating in the annual function = 504
- Ratio of girls to boys = 5 : 3
Step 1: Finding the number of girls and boys
- Let the number of girls be 5x and the number of boys be 3x.
- According to the given information, 5x + 3x = 504
- Simplifying, we get 8x = 504
- Dividing both sides by 8, we get x = 63
- Therefore, the number of girls = 5x = 5 * 63 = 315
- And the number of boys = 3x = 3 * 63 = 189
Step 2: Finding the number of girls participating in each activity
- 20% of the girls participated in dance, so the number of girls participating in dance = 20% of 315 = 0.2 * 315 = 63
- Remaining girls participated in solo song, group song, and drama in the ratio of 2 : 3 : 4.
- Let the common ratio be 1, so the number of girls participating in solo song = 2 * 1 = 2
- The number of girls participating in group song = 3 * 1 = 3
- And the number of girls participating in drama = 4 * 1 = 4
Step 3: Finding the number of boys participating in each activity
- Two-thirds of the boys participated in group song, so the number of boys participating in group song = 2/3 * 189 = 126
- Remaining boys participated in solo song and dance in the ratio of 4 : 5.
- Let the common ratio be 1, so the number of boys participating in solo song = 4 * 1 = 4
- And the number of boys participating in dance = 5 * 1 = 5
So, the approximate percentage of boys participating in dance out of the total number of boys is:
Step 4: Calculating the percentage
- Total boys participating in dance = 5
- Total number of boys = 189
- Percentage of boys participating in dance = (5 / 189) * 100 ≈ 2.65%
Therefore, the approximate percentage of boys participating in dance out of the total number of boys is approximately 2.65%.
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Community Answer
In the annual function at a school, 504 children participated.The rat...
Number of boys 
Number of girls = 504 – 189 = 315
Girls participating in dance 
Girls not participating in dance = 315 – 63 = 252
Girls participating in solo song = 
Girls participating in group song 
Girls participating in drama 
Boys participating in group song 
Remaining boys = 189 – 126 = 63
Boys participating in solo song 
Boys participating in dance 
Required percentage 
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In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?a)18.5%b)22.5%c)16.5%d)26.5%Correct answer is option 'A'. Can you explain this answer?
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In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?a)18.5%b)22.5%c)16.5%d)26.5%Correct answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?a)18.5%b)22.5%c)16.5%d)26.5%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?a)18.5%b)22.5%c)16.5%d)26.5%Correct answer is option 'A'. Can you explain this answer?.
In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?a)18.5%b)22.5%c)16.5%d)26.5%Correct answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?a)18.5%b)22.5%c)16.5%d)26.5%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?a)18.5%b)22.5%c)16.5%d)26.5%Correct answer is option 'A'. Can you explain this answer?.
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ample number of questions to practice In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?a)18.5%b)22.5%c)16.5%d)26.5%Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CLAT tests.
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