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Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.
Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?
- a)5000
- b)4000
- c)3000
- d)2000
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: Ramesh has some amount with him in the form of Rs1000 note...
Given:
- Ramesh has some amount in the form of Rs1000 notes.
- He distributed one third of the amount among his 5 friends.
- The distribution is such that the eldest friend gets the highest amount, the second eldest friend gets the second highest amount, and so on.
- The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita.
- The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita.
- The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita.
- Ramesh gave three-fourths of the remaining amount to his girlfriend Geeta.
- Finally, Ramesh is left with Rs7500.
To Find:
The difference between the amounts received by his eldest friend and that received by his youngest friend.
Solution:
Let's assume the amount Ramesh had initially as "X".
1. Distribution of one-third of the amount among 5 friends:
- Each friend receives X/3.
2. Amount received by Peeyush is equal to the sum of the amounts received by Teena and Rita:
- Peeyush = Teena + Rita
- X/3 = X/3 + X/3
- X/3 = 2X/3
3. Amount received by Teena is equal to the sum of the amounts received by Qamar and Rita:
- Teena = Qamar + Rita
- X/3 = X/3 + X/3
- X/3 = 2X/3
4. Amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita:
- Shubham = Peeyush + Rita
- X/3 = X/3 + X/3
- X/3 = 2X/3
From equations 2, 3, and 4, we can conclude that all friends received an equal amount.
5. Ramesh is left with Rs7500:
- Remaining amount after distribution = X - (5 * X/3)
- X - (5 * X/3) = 7500
- 3X - 5X = 22500
- -2X = 22500
- X = -22500 / -2
- X = 11250
So, the initial amount Ramesh had was Rs11250.
Difference between the amounts received by his eldest friend and that received by his youngest friend:
- Eldest friend = X/3 = 11250 / 3 = 3750
- Youngest friend = X/3 = 11250 / 3 = 3750
- Difference = 3750 - 3750 = 0
Thus, the difference between the amounts received by his eldest friend and that received by his youngest friend is 0.
- Ramesh has some amount in the form of Rs1000 notes.
- He distributed one third of the amount among his 5 friends.
- The distribution is such that the eldest friend gets the highest amount, the second eldest friend gets the second highest amount, and so on.
- The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita.
- The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita.
- The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita.
- Ramesh gave three-fourths of the remaining amount to his girlfriend Geeta.
- Finally, Ramesh is left with Rs7500.
To Find:
The difference between the amounts received by his eldest friend and that received by his youngest friend.
Solution:
Let's assume the amount Ramesh had initially as "X".
1. Distribution of one-third of the amount among 5 friends:
- Each friend receives X/3.
2. Amount received by Peeyush is equal to the sum of the amounts received by Teena and Rita:
- Peeyush = Teena + Rita
- X/3 = X/3 + X/3
- X/3 = 2X/3
3. Amount received by Teena is equal to the sum of the amounts received by Qamar and Rita:
- Teena = Qamar + Rita
- X/3 = X/3 + X/3
- X/3 = 2X/3
4. Amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita:
- Shubham = Peeyush + Rita
- X/3 = X/3 + X/3
- X/3 = 2X/3
From equations 2, 3, and 4, we can conclude that all friends received an equal amount.
5. Ramesh is left with Rs7500:
- Remaining amount after distribution = X - (5 * X/3)
- X - (5 * X/3) = 7500
- 3X - 5X = 22500
- -2X = 22500
- X = -22500 / -2
- X = 11250
So, the initial amount Ramesh had was Rs11250.
Difference between the amounts received by his eldest friend and that received by his youngest friend:
- Eldest friend = X/3 = 11250 / 3 = 3750
- Youngest friend = X/3 = 11250 / 3 = 3750
- Difference = 3750 - 3750 = 0
Thus, the difference between the amounts received by his eldest friend and that received by his youngest friend is 0.
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Community Answer
Directions: Ramesh has some amount with him in the form of Rs1000 note...
Let the amount with Ramesh be x
Amount distributed among his friends = x/3
Amount given to Geeta = 3 (x - x/3)/ 4 = x/2
Amount left with Ramesh = (x - x/2 - x/3) = x/6 = 7500
Or, x = 45000
Let the amount with Peeyush, Qamar, Rita, Shubham and Teena be p, q, r, s, t respectively
Given p + q + r + s + t = 45000/3 = 15000 (i)
And p = t + r (ii)
Also t = q +r (iii)
And s = p + r (iv)
(ii) + (iii) + (iv)
The above arithmetic operation will give s = 3r + q (v)
From (i) and (v) r can take only a value = 1000(as notes are multiples of 1000)
Form (ii), (iii), and (iv) Shubham received the maximum amount that is 5000
So q = s - 3r = 5000 - 3(1000) = 2000
And t = q + r = 2000 + 1000 = 3000
And p = t + r = 3000 + 1000 = 4000
The required difference = 5000 - 1000 = 4000
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Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer?
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Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer?.
Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Ramesh has some amount with him in the form of Rs1000 notes. He distributed one third of the amount with him among his 5 friends. He has 5 friends Peeyush, Qamar, Rita, Shubham, Teena such that the eldest one gets the highest amount, the second eldest friend gets second highest amount and so on. The amount received by Peeyush is equal to the sum of the amount received by Teena and Rita. The amount received by Teena is equal to the sum of the amounts received by Qamar and Rita. The amount received by Shubham is equal to the sum of the amounts received by Peeyush and Rita. He gave three Fourth of the remaining amount to his girlfriend Geeta. Finally Ramesh is left with Rs7500.Q. What is the difference between the amounts received by his eldest friend and that received by his youngest friend?a)5000b)4000c)3000d)2000Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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