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Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons is increased by:
- a)1/7
- b)1/8
- c)1/9
- d)7/8
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Eight people are planning to share equally the cost of a rental car. I...
Original share of 1 person =1/8
New share of 1 person =1/7
Increase = 1/7 – 1/8 = 1/56
∴ Required fraction = (1/56) / (1/8) = 1/7
New share of 1 person =1/7
Increase = 1/7 – 1/8 = 1/56
∴ Required fraction = (1/56) / (1/8) = 1/7
Most Upvoted Answer
Eight people are planning to share equally the cost of a rental car. I...
Explanation:
Let's assume the total cost of the rental car is C. Initially, when all eight people share the cost equally, each person's share is C/8.
When one person withdraws from the arrangement, the remaining seven people have to share the entire cost of the car. Therefore, each person's share will be C/7.
To find the increase in each person's share, we need to find the difference between the initial share (C/8) and the new share (C/7).
Calculation:
Initial share: C/8
New share: C/7
Increase in share: New share - Initial share = C/7 - C/8
To simplify this equation, we need a common denominator. The least common denominator of 8 and 7 is 56. So, let's rewrite the equation with the common denominator:
Increase in share: (8C/56) - (7C/56) = (8C - 7C)/56 = C/56
Therefore, the increase in each person's share is C/56.
Comparison:
We need to find the ratio between the increase in each person's share and their initial share. Let's calculate this ratio:
Ratio = (Increase in share)/(Initial share) = (C/56)/(C/8) = (C/56) * (8/C) = 8/56 = 1/7
Therefore, the increase in each person's share is 1/7 of their initial share.
Conclusion:
From the above calculation, we can conclude that when one person withdraws from the arrangement and the others share equally the entire cost of the car, the share of each of the remaining persons is increased by 1/7. Hence, the correct answer is option A.
Let's assume the total cost of the rental car is C. Initially, when all eight people share the cost equally, each person's share is C/8.
When one person withdraws from the arrangement, the remaining seven people have to share the entire cost of the car. Therefore, each person's share will be C/7.
To find the increase in each person's share, we need to find the difference between the initial share (C/8) and the new share (C/7).
Calculation:
Initial share: C/8
New share: C/7
Increase in share: New share - Initial share = C/7 - C/8
To simplify this equation, we need a common denominator. The least common denominator of 8 and 7 is 56. So, let's rewrite the equation with the common denominator:
Increase in share: (8C/56) - (7C/56) = (8C - 7C)/56 = C/56
Therefore, the increase in each person's share is C/56.
Comparison:
We need to find the ratio between the increase in each person's share and their initial share. Let's calculate this ratio:
Ratio = (Increase in share)/(Initial share) = (C/56)/(C/8) = (C/56) * (8/C) = 8/56 = 1/7
Therefore, the increase in each person's share is 1/7 of their initial share.
Conclusion:
From the above calculation, we can conclude that when one person withdraws from the arrangement and the others share equally the entire cost of the car, the share of each of the remaining persons is increased by 1/7. Hence, the correct answer is option A.
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Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons is increased by:a)1/7b)1/8c)1/9d)7/8Correct answer is option 'A'. Can you explain this answer?
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Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons is increased by:a)1/7b)1/8c)1/9d)7/8Correct answer is option 'A'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons is increased by:a)1/7b)1/8c)1/9d)7/8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons is increased by:a)1/7b)1/8c)1/9d)7/8Correct answer is option 'A'. Can you explain this answer?.
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