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A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak and Ramesh in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of Anil is more than that of Ramesh by?
- a)Rs. 3200
- b)Rs. 2500
- c)Rs. 3000
- d)Rs. 2700
- e)None of the Above
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak a...
A. Rs. 3200 Explanation: x*5*1/100 = y*5*2/100 = z*5*3/100 x:y:z = 6:3:2 The share of Anil is more than that of Ramesh by = 4/11 * 8800 = 3200
Most Upvoted Answer
A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak a...
Given:
- Total sum to be divided = Rs. 8800
- Three brothers - Anil, Deepak, and Ramesh
- Simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal.
To find: The share of Anil is more than that of Ramesh by how much?
Approach:
- Let the shares of Anil, Deepak, and Ramesh be A, D, and R respectively.
- As the simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal, we can use the concept of Simple Interest formula to solve the equations for A, D, and R.
- After getting the values of A, D, and R, we can find the difference between the share of Anil and Ramesh.
Calculation:
Let's calculate the share of each brother one by one.
1. Share of Anil (A):
Let the share of Anil be x.
- Simple interest on x at 5% per annum after 1 year = x * 5/100
- Simple interest on x at 5% per annum after 2 year = x * 5/100 * 2 = x * 1/4
- Simple interest on x at 5% per annum after 3 year = x * 5/100 * 3 = x * 3/20
Total simple interest on A = x * 5/100 + x * 1/4 + x * 3/20
= x * (1/20 + 1/4 + 3/20)
= x * 9/40
Let's assume that the total simple interest on each part is 'I'.
Then, I = A * 9/40 = D * 9/40 = R * 9/40
=> A = I * 40/9
2. Share of Deepak (D):
Let the share of Deepak be y.
- Simple interest on y at 5% per annum after 1 year = y * 5/100
- Simple interest on y at 5% per annum after 2 year = y * 5/100 * 2 = y * 1/4
- Simple interest on y at 5% per annum after 3 year = y * 5/100 * 3 = y * 3/20
Total simple interest on D = y * 5/100 + y * 1/4 + y * 3/20
= y * (1/20 + 1/4 + 3/20)
= y * 9/40
As I = A * 9/40 = D * 9/40 = R * 9/40
=> D = I * 40/9
3. Share of Ramesh (R):
Let the share of Ramesh be z.
- Simple interest on z at 5% per annum after 1 year = z * 5/100
- Simple interest on z at 5% per annum after 2 year = z * 5/100 * 2 = z * 1/4
- Simple interest on z at 5% per annum after 3 year = z * 5/100 *
- Total sum to be divided = Rs. 8800
- Three brothers - Anil, Deepak, and Ramesh
- Simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal.
To find: The share of Anil is more than that of Ramesh by how much?
Approach:
- Let the shares of Anil, Deepak, and Ramesh be A, D, and R respectively.
- As the simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal, we can use the concept of Simple Interest formula to solve the equations for A, D, and R.
- After getting the values of A, D, and R, we can find the difference between the share of Anil and Ramesh.
Calculation:
Let's calculate the share of each brother one by one.
1. Share of Anil (A):
Let the share of Anil be x.
- Simple interest on x at 5% per annum after 1 year = x * 5/100
- Simple interest on x at 5% per annum after 2 year = x * 5/100 * 2 = x * 1/4
- Simple interest on x at 5% per annum after 3 year = x * 5/100 * 3 = x * 3/20
Total simple interest on A = x * 5/100 + x * 1/4 + x * 3/20
= x * (1/20 + 1/4 + 3/20)
= x * 9/40
Let's assume that the total simple interest on each part is 'I'.
Then, I = A * 9/40 = D * 9/40 = R * 9/40
=> A = I * 40/9
2. Share of Deepak (D):
Let the share of Deepak be y.
- Simple interest on y at 5% per annum after 1 year = y * 5/100
- Simple interest on y at 5% per annum after 2 year = y * 5/100 * 2 = y * 1/4
- Simple interest on y at 5% per annum after 3 year = y * 5/100 * 3 = y * 3/20
Total simple interest on D = y * 5/100 + y * 1/4 + y * 3/20
= y * (1/20 + 1/4 + 3/20)
= y * 9/40
As I = A * 9/40 = D * 9/40 = R * 9/40
=> D = I * 40/9
3. Share of Ramesh (R):
Let the share of Ramesh be z.
- Simple interest on z at 5% per annum after 1 year = z * 5/100
- Simple interest on z at 5% per annum after 2 year = z * 5/100 * 2 = z * 1/4
- Simple interest on z at 5% per annum after 3 year = z * 5/100 *
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A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak and Ramesh in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of Anil is more than that of Ramesh by?a)Rs. 3200b)Rs. 2500c)Rs. 3000d)Rs. 2700e)None of the AboveCorrect answer is option 'A'. Can you explain this answer?
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A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak and Ramesh in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of Anil is more than that of Ramesh by?a)Rs. 3200b)Rs. 2500c)Rs. 3000d)Rs. 2700e)None of the AboveCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak and Ramesh in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of Anil is more than that of Ramesh by?a)Rs. 3200b)Rs. 2500c)Rs. 3000d)Rs. 2700e)None of the AboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak and Ramesh in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of Anil is more than that of Ramesh by?a)Rs. 3200b)Rs. 2500c)Rs. 3000d)Rs. 2700e)None of the AboveCorrect answer is option 'A'. Can you explain this answer?.
A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak and Ramesh in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of Anil is more than that of Ramesh by?a)Rs. 3200b)Rs. 2500c)Rs. 3000d)Rs. 2700e)None of the AboveCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak and Ramesh in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of Anil is more than that of Ramesh by?a)Rs. 3200b)Rs. 2500c)Rs. 3000d)Rs. 2700e)None of the AboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of Rs. 8800 is to be divided among three brothers Anil, Deepak and Ramesh in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of Anil is more than that of Ramesh by?a)Rs. 3200b)Rs. 2500c)Rs. 3000d)Rs. 2700e)None of the AboveCorrect answer is option 'A'. Can you explain this answer?.
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