SSC Exam > SSC Questions > The ratio of theme park entrance fee for adul...
Start Learning for Free
The ratio of theme park entrance fee for adults and children is 9 ∶ 4 and for particular day ratio of number of adult visitor and number of children is 8 ∶ 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.
- a)16200
- b)10000
- c)15400
- d)2000
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The ratio of theme park entrance fee for adults and children is 9 4 a...
Given,
⇒ Ratio of fee for adults and children = 9 ∶ 4
⇒ Ratio of number of adult visitors and children = 8 ∶ 13
Using compound ratio,
⇒ Ratio of earning from adult visitors and children = (9 × 8) ∶ (4 × 13) = 18 ∶ 13
Given,
⇒ Earning from children = 26000
Then,
⇒ Total earning for that day = 26000 × {(18 + 13)/ 13} = 62000
⇒ Earning from adults = 62000 × {18/(18 + 13)} = 36000
⇒ Required difference = 36000 – 26000 = 10000
⇒ Ratio of fee for adults and children = 9 ∶ 4
⇒ Ratio of number of adult visitors and children = 8 ∶ 13
Using compound ratio,
⇒ Ratio of earning from adult visitors and children = (9 × 8) ∶ (4 × 13) = 18 ∶ 13
Given,
⇒ Earning from children = 26000
Then,
⇒ Total earning for that day = 26000 × {(18 + 13)/ 13} = 62000
⇒ Earning from adults = 62000 × {18/(18 + 13)} = 36000
⇒ Required difference = 36000 – 26000 = 10000
Most Upvoted Answer
The ratio of theme park entrance fee for adults and children is 9 4 a...
Given:
- The ratio of theme park entrance fee for adults and children is 9:4.
- The ratio of the number of adult visitors to the number of children visitors for a particular day is 8:13.
- The total earning from children visitors on that particular day is Rs. 26000.
To Find:
The difference in the amount collected from adult visitors and children visitors.
Solution:
Step 1: Finding the Ratio of Adult Visitors and Children Visitors
- Let's assume that the number of adult visitors is 8x and the number of children visitors is 13x.
- Therefore, the ratio of the number of adult visitors to the number of children visitors is 8x:13x.
Step 2: Finding the Entrance Fee for Adults and Children
- The given ratio of the theme park entrance fee for adults and children is 9:4.
- Let's assume the entrance fee for adults is 9y and the entrance fee for children is 4y.
Step 3: Calculating the Amount Collected from Children Visitors
- The total earning from children visitors on that particular day is given as Rs. 26000.
- Therefore, the amount collected from children visitors is 13x * 4y = Rs. 26000.
Step 4: Solving for x and y
- From Step 3, we have 13x * 4y = 26000.
- Simplifying the equation, we get 52xy = 26000.
- Dividing both sides by 52, we get xy = 500.
Step 5: Calculating the Amount Collected from Adult Visitors
- The amount collected from adult visitors is 8x * 9y.
- Substituting the value of xy from Step 4, we have 8x * 9y = 8x * 9 * 500/y.
- Simplifying the equation, we get 8x * 9 * 500/y = 36,000x.
Step 6: Calculating the Difference in Amount Collected
- The difference in the amount collected from adult visitors and children visitors is given by 36,000x - 13x * 4y.
- Substituting the value of xy from Step 4, we have 36,000x - 13x * 4 * 500/x = 36,000x - 26,000x = 10,000x.
Step 7: Finding the Value of x
- To find the value of x, we can equate the amount collected from adult visitors to the total earning from children visitors.
- Therefore, 36,000x = 26,000x.
- Dividing both sides by x, we get 36,000 = 26,000.
- Solving the equation, we find x = 10.
Step 8: Calculating the Difference in Amount Collected (Final Answer)
- Substituting the value of x into the equation from Step 6, we have 10,000x = 10,000 * 10 = Rs. 100,000.
Therefore, the difference in the amount collected from adult visitors and children
- The ratio of theme park entrance fee for adults and children is 9:4.
- The ratio of the number of adult visitors to the number of children visitors for a particular day is 8:13.
- The total earning from children visitors on that particular day is Rs. 26000.
To Find:
The difference in the amount collected from adult visitors and children visitors.
Solution:
Step 1: Finding the Ratio of Adult Visitors and Children Visitors
- Let's assume that the number of adult visitors is 8x and the number of children visitors is 13x.
- Therefore, the ratio of the number of adult visitors to the number of children visitors is 8x:13x.
Step 2: Finding the Entrance Fee for Adults and Children
- The given ratio of the theme park entrance fee for adults and children is 9:4.
- Let's assume the entrance fee for adults is 9y and the entrance fee for children is 4y.
Step 3: Calculating the Amount Collected from Children Visitors
- The total earning from children visitors on that particular day is given as Rs. 26000.
- Therefore, the amount collected from children visitors is 13x * 4y = Rs. 26000.
Step 4: Solving for x and y
- From Step 3, we have 13x * 4y = 26000.
- Simplifying the equation, we get 52xy = 26000.
- Dividing both sides by 52, we get xy = 500.
Step 5: Calculating the Amount Collected from Adult Visitors
- The amount collected from adult visitors is 8x * 9y.
- Substituting the value of xy from Step 4, we have 8x * 9y = 8x * 9 * 500/y.
- Simplifying the equation, we get 8x * 9 * 500/y = 36,000x.
Step 6: Calculating the Difference in Amount Collected
- The difference in the amount collected from adult visitors and children visitors is given by 36,000x - 13x * 4y.
- Substituting the value of xy from Step 4, we have 36,000x - 13x * 4 * 500/x = 36,000x - 26,000x = 10,000x.
Step 7: Finding the Value of x
- To find the value of x, we can equate the amount collected from adult visitors to the total earning from children visitors.
- Therefore, 36,000x = 26,000x.
- Dividing both sides by x, we get 36,000 = 26,000.
- Solving the equation, we find x = 10.
Step 8: Calculating the Difference in Amount Collected (Final Answer)
- Substituting the value of x into the equation from Step 6, we have 10,000x = 10,000 * 10 = Rs. 100,000.
Therefore, the difference in the amount collected from adult visitors and children
|
Explore Courses for SSC exam
|
|
The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer?
Question Description
The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer?.
The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer?.
Solutions for The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ratio of theme park entrance fee for adults and children is 9 4 and for particular day ratio of number of adult visitor and number of children is 8 13, for that particular day total earning from children visitors is Rs. 26000. Find the difference in amount collected from adult visitors and children visitors.a)16200b)10000c)15400d)2000Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup