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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 amount received by Geeta (in rupees)?
  • a)
    15,000
  • b)
    22,500
  • c)
    30,000
  • d)
    25,000
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 not...
Solution:
Let's assume the amount Ramesh had initially is 'x' rupees.

Distribution among friends:
Ramesh distributed one-third of the amount among his 5 friends.
So, the amount distributed to each friend is (x/3) / 5 = x/15 rupees.

Amount received by Peeyush:
We are given that Peeyush received an amount equal to the sum of the amounts received by Teena and Rita.
Let the amount received by Teena be 'y' rupees.
So, the amount received by Rita is also 'y' rupees.
Therefore, the amount received by Peeyush is 2y rupees.

Amount received by Teena:
We are given that Teena received an amount equal to the sum of the amounts received by Qamar and Rita.
Let the amount received by Qamar be 'z' rupees.
So, the amount received by Rita is 'y' rupees.
Therefore, the amount received by Teena is (z + y) rupees.

Amount received by Shubham:
We are given that Shubham received an amount equal to the sum of the amounts received by Peeyush and Rita.
The amount received by Rita is 'y' rupees.
Therefore, the amount received by Shubham is (2y + y) = 3y rupees.

Remaining amount:
After distributing the amounts to friends, Ramesh is left with 2/3 of the initial amount.
So, the remaining amount is (2/3)x rupees.

Amount given to Geeta:
Ramesh gave three-fourths of the remaining amount to his girlfriend Geeta.
So, the amount given to Geeta is (3/4) * (2/3)x = (1/2)x rupees.

Ramesh's final amount:
After giving the amount to Geeta, Ramesh is left with Rs7500.
Therefore, (1/2)x = 7500.
Simplifying, we get x = 15000 rupees.

Amount received by Geeta:
We already calculated that the amount given to Geeta is (1/2)x rupees.
Substituting the value of x, we get (1/2)*15000 = 7500 rupees.

Therefore, the amount received by Geeta is 7500 rupees.
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Community Answer
Directions: Ramesh has some amount with him in the form of Rs1000 not...
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 amount received by Geeta = 45000/2 = 22500
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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 amount received by Geeta (in rupees)?a)15,000b)22,500c)30,000d)25,000Correct 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 amount received by Geeta (in rupees)?a)15,000b)22,500c)30,000d)25,000Correct 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 amount received by Geeta (in rupees)?a)15,000b)22,500c)30,000d)25,000Correct 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 amount received by Geeta (in rupees)?a)15,000b)22,500c)30,000d)25,000Correct 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 amount received by Geeta (in rupees)?a)15,000b)22,500c)30,000d)25,000Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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