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P invested ₹ 5000 per month for 6 months of a year and Q invested ₹ x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year.
If at the end of that investment year, Q receives 4/9 of the total profit, what is the value of (in ₹)?
If at the end of that investment year, Q receives 4/9 of the total profit, what is the value of (in ₹)?
- a)2500
- b)3000
- c)4687
- d)8437
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
P invested 5000 per month for 6 months of a year and Q invested x pe...
Given,
P invested 5000 per month for 6 months = 5000 x 6 = 30,000
Q invested x per month for 8 months
Let the total profit be P.
As per the question, Q receives 4/9 of the total profit.
Therefore,
Profit share of Q = (4/9)P
Profit share of P = (5/9)P
Now, we can write,
Profit share of Q = (investment of Q / Total investment) x P
Profit share of P = (investment of P / Total investment) x P
Substituting the given values, we get
(4/9)P = (x/12P + 30,000/12P) x P
(5/9)P = (5000 x 6 / 12P) x P
Simplifying, we get
4x + 36000 = 9P
P = (4x + 36000) / 9
And,
15,000 = 5P / 6
5P = 90,000
P = 18,000
Substituting P in the first equation, we get
(4/9) x 18,000 = (x/12 x 18,000 + 30,000/12 x 18,000) x 18,000
Solving for x, we get
x = 3000
Therefore, the value of x is 3000 and the correct answer is option B.
P invested 5000 per month for 6 months = 5000 x 6 = 30,000
Q invested x per month for 8 months
Let the total profit be P.
As per the question, Q receives 4/9 of the total profit.
Therefore,
Profit share of Q = (4/9)P
Profit share of P = (5/9)P
Now, we can write,
Profit share of Q = (investment of Q / Total investment) x P
Profit share of P = (investment of P / Total investment) x P
Substituting the given values, we get
(4/9)P = (x/12P + 30,000/12P) x P
(5/9)P = (5000 x 6 / 12P) x P
Simplifying, we get
4x + 36000 = 9P
P = (4x + 36000) / 9
And,
15,000 = 5P / 6
5P = 90,000
P = 18,000
Substituting P in the first equation, we get
(4/9) x 18,000 = (x/12 x 18,000 + 30,000/12 x 18,000) x 18,000
Solving for x, we get
x = 3000
Therefore, the value of x is 3000 and the correct answer is option B.
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P invested 5000 per month for 6 months of a year and Q invested x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year.If at the end of that investment year, Q receives 4/9of the total profit, what is the valueof (in )?a)2500b)3000c)4687d)8437Correct answer is option 'B'. Can you explain this answer?
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P invested 5000 per month for 6 months of a year and Q invested x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year.If at the end of that investment year, Q receives 4/9of the total profit, what is the valueof (in )?a)2500b)3000c)4687d)8437Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about P invested 5000 per month for 6 months of a year and Q invested x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year.If at the end of that investment year, Q receives 4/9of the total profit, what is the valueof (in )?a)2500b)3000c)4687d)8437Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P invested 5000 per month for 6 months of a year and Q invested x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year.If at the end of that investment year, Q receives 4/9of the total profit, what is the valueof (in )?a)2500b)3000c)4687d)8437Correct answer is option 'B'. Can you explain this answer?.
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