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In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ?
- a)Rs.650
- b)Rs.688
- c)Rs.588
- d)Rs.490
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a business P and R invested amounts in the ratio 2 : 1, whereas the...
P : Q = 3 : 2 , P : R = 2 : 1 [given] Q : P = 2 : 3 [reverse], Q : P = 4 : 6 [multiply by 2] Now, P : R = 2 : 1
P : R = 6 : 3 [multiply by 3] P : Q =6 : 4 [after x3] , So Q : P : R = 4 : 6 : 3
or, P : Q : R = 6 : 4 : 3
Q’s share= 4/13 x 2236=Rs.688
P : R = 6 : 3 [multiply by 3] P : Q =6 : 4 [after x3] , So Q : P : R = 4 : 6 : 3
or, P : Q : R = 6 : 4 : 3
Q’s share= 4/13 x 2236=Rs.688
Most Upvoted Answer
In a business P and R invested amounts in the ratio 2 : 1, whereas the...
Given:
- Ratio of amounts invested by P and R = 2:1
- Ratio of amounts invested by P and Q = 3:2
- Profit earned = Rs. 2,236
To Find:
- Amount invested by Q
Solution:
Let's assume the amounts invested by P, Q, and R as 3x, 2x, and x respectively.
Ratio between P and R:
According to the given information, the ratio between P and R is 2:1. Therefore, the amounts invested by P and R can be written as:
P = 2x
R = x
Ratio between P and Q:
According to the given information, the ratio between P and Q is 3:2. Therefore, the amounts invested by P and Q can be written as:
P = 3y
Q = 2y
Profit Sharing:
The profit is shared in the ratio of the amounts invested. Therefore, the profit shared by P, Q, and R can be calculated as follows:
Profit shared by P = (Amount invested by P / Total investment) * Total Profit
Profit shared by Q = (Amount invested by Q / Total investment) * Total Profit
Profit shared by R = (Amount invested by R / Total investment) * Total Profit
Calculating Profit Shared by P:
Profit shared by P = (3x / (3x + 2y + x)) * 2236
Profit shared by P = (3x / (4x + 2y)) * 2236
Calculating Profit Shared by Q:
Profit shared by Q = (2y / (3x + 2y + x)) * 2236
Profit shared by Q = (2y / (4x + 2y)) * 2236
Calculating Profit Shared by R:
Profit shared by R = (x / (3x + 2y + x)) * 2236
Profit shared by R = (x / (4x + 2y)) * 2236
Solving the Equation:
The sum of the profit shared by P, Q, and R should be equal to the total profit.
Profit shared by P + Profit shared by Q + Profit shared by R = 2236
Substituting the calculated values of profit shared by P, Q, and R:
[(3x / (4x + 2y)) * 2236] + [(2y / (4x + 2y)) * 2236] + [(x / (4x + 2y)) * 2236] = 2236
Multiplying the equation by (4x + 2y) to eliminate the denominator:
3x + 2y + x = 2236
Combining like terms:
4x + 2y = 2236
Now, we have two equations:
4x + 2y = 2236 (Equation 1)
3x = 2y (Equation 2)
Solving the equations simultaneously to find the values of x and y:
From Equation 2, we can write:
x = (2/3) * y
Substituting the
- Ratio of amounts invested by P and R = 2:1
- Ratio of amounts invested by P and Q = 3:2
- Profit earned = Rs. 2,236
To Find:
- Amount invested by Q
Solution:
Let's assume the amounts invested by P, Q, and R as 3x, 2x, and x respectively.
Ratio between P and R:
According to the given information, the ratio between P and R is 2:1. Therefore, the amounts invested by P and R can be written as:
P = 2x
R = x
Ratio between P and Q:
According to the given information, the ratio between P and Q is 3:2. Therefore, the amounts invested by P and Q can be written as:
P = 3y
Q = 2y
Profit Sharing:
The profit is shared in the ratio of the amounts invested. Therefore, the profit shared by P, Q, and R can be calculated as follows:
Profit shared by P = (Amount invested by P / Total investment) * Total Profit
Profit shared by Q = (Amount invested by Q / Total investment) * Total Profit
Profit shared by R = (Amount invested by R / Total investment) * Total Profit
Calculating Profit Shared by P:
Profit shared by P = (3x / (3x + 2y + x)) * 2236
Profit shared by P = (3x / (4x + 2y)) * 2236
Calculating Profit Shared by Q:
Profit shared by Q = (2y / (3x + 2y + x)) * 2236
Profit shared by Q = (2y / (4x + 2y)) * 2236
Calculating Profit Shared by R:
Profit shared by R = (x / (3x + 2y + x)) * 2236
Profit shared by R = (x / (4x + 2y)) * 2236
Solving the Equation:
The sum of the profit shared by P, Q, and R should be equal to the total profit.
Profit shared by P + Profit shared by Q + Profit shared by R = 2236
Substituting the calculated values of profit shared by P, Q, and R:
[(3x / (4x + 2y)) * 2236] + [(2y / (4x + 2y)) * 2236] + [(x / (4x + 2y)) * 2236] = 2236
Multiplying the equation by (4x + 2y) to eliminate the denominator:
3x + 2y + x = 2236
Combining like terms:
4x + 2y = 2236
Now, we have two equations:
4x + 2y = 2236 (Equation 1)
3x = 2y (Equation 2)
Solving the equations simultaneously to find the values of x and y:
From Equation 2, we can write:
x = (2/3) * y
Substituting the
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Community Answer
In a business P and R invested amounts in the ratio 2 : 1, whereas the...
P : Q = 3 : 2 , P : R = 2 : 1 [given] Q : P = 2 : 3 [reverse], Q : P = 4 : 6 [multiply by 2] Now, P : R = 2 : 1
P : R = 6 : 3 [multiply by 3] P : Q =6 : 4 [after x3] , So Q : P : R = 4 : 6 : 3
or, P : Q : R = 6 : 4 : 3
Q’s share= 4/13 x 2236=Rs.688
P : R = 6 : 3 [multiply by 3] P : Q =6 : 4 [after x3] , So Q : P : R = 4 : 6 : 3
or, P : Q : R = 6 : 4 : 3
Q’s share= 4/13 x 2236=Rs.688
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In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ?a)Rs.650b)Rs.688c)Rs.588d)Rs.490Correct answer is option 'B'. Can you explain this answer?
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In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ?a)Rs.650b)Rs.688c)Rs.588d)Rs.490Correct answer is option 'B'. 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 In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ?a)Rs.650b)Rs.688c)Rs.588d)Rs.490Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ?a)Rs.650b)Rs.688c)Rs.588d)Rs.490Correct answer is option 'B'. Can you explain this answer?.
In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ?a)Rs.650b)Rs.688c)Rs.588d)Rs.490Correct answer is option 'B'. 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 In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ?a)Rs.650b)Rs.688c)Rs.588d)Rs.490Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ?a)Rs.650b)Rs.688c)Rs.588d)Rs.490Correct answer is option 'B'. Can you explain this answer?.
Solutions for In a business P and R invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by P and Q was 3 : 2 . If Rs. 2,236 was their profit, how much amount did Q receive ?a)Rs.650b)Rs.688c)Rs.588d)Rs.490Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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