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P, Q and R invested some amount to start a business. P invest 500 for 12 months, Q invest 600 for some months and R invested 540 more than 2 months invested by Q.At the end of the year total profit earned is Rs.2200 while Q received Rs.480 then Q invested foe how many months ?
- a)7 months
- b)9months
- c)10 months
- d)8 months
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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P, Q and R invested some amount to start a business. P invest 500 for ...
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P, Q and R invested some amount to start a business. P invest 500 for ...
Given:
- P invests Rs.500 for 12 months.
- Q invests Rs.600 for some months.
- R invests Rs.540 more than twice the number of months invested by Q.
- Total profit earned is Rs.2200.
- Q receives Rs.480.
To find:
- The number of months Q invested.
Assumptions:
- The profit is divided among the partners in proportion to their investments.
Let's solve the problem step by step:
Step 1:
Let's assume Q invests for x months.
- P invests for 12 months.
- R invests for 2x + 540 months.
Step 2:
Now, we need to calculate the ratio of their investments.
- P's investment = Rs.500 * 12 = Rs.6000
- Q's investment = Rs.600 * x = Rs.600x
- R's investment = Rs.(2x + 540) * 600 = Rs.(1200x + 324000)
Step 3:
Since the profit is divided in proportion to their investments, we can calculate the ratio of their profits.
- P's profit = (6000 / total investment) * total profit = (6000 / (6000 + 600x + 1200x + 324000)) * 2200
- Q's profit = (600x / (6000 + 600x + 1200x + 324000)) * 2200
- R's profit = ((1200x + 324000) / (6000 + 600x + 1200x + 324000)) * 2200
Step 4:
We know that Q's profit is Rs.480.
- (600x / (6000 + 600x + 1200x + 324000)) * 2200 = 480
Step 5:
Solve the equation to find the value of x.
- 600x = 480 * (6000 + 600x + 1200x + 324000)
- 600x = 480 * (1800x + 330000)
- 600x = 864000x + 158400000
- 864000x - 600x = 158400000
- 863400x = 158400000
- x = 158400000 / 863400
- x ≈ 183.33
Step 6:
Since the investment period cannot be in decimal, we need to round off the value of x.
- Rounded off value of x is 183.
Step 7:
Therefore, Q invested for 183 months, which is approximately equal to 8 months.
Hence, the correct answer is option D) 8 months.
- P invests Rs.500 for 12 months.
- Q invests Rs.600 for some months.
- R invests Rs.540 more than twice the number of months invested by Q.
- Total profit earned is Rs.2200.
- Q receives Rs.480.
To find:
- The number of months Q invested.
Assumptions:
- The profit is divided among the partners in proportion to their investments.
Let's solve the problem step by step:
Step 1:
Let's assume Q invests for x months.
- P invests for 12 months.
- R invests for 2x + 540 months.
Step 2:
Now, we need to calculate the ratio of their investments.
- P's investment = Rs.500 * 12 = Rs.6000
- Q's investment = Rs.600 * x = Rs.600x
- R's investment = Rs.(2x + 540) * 600 = Rs.(1200x + 324000)
Step 3:
Since the profit is divided in proportion to their investments, we can calculate the ratio of their profits.
- P's profit = (6000 / total investment) * total profit = (6000 / (6000 + 600x + 1200x + 324000)) * 2200
- Q's profit = (600x / (6000 + 600x + 1200x + 324000)) * 2200
- R's profit = ((1200x + 324000) / (6000 + 600x + 1200x + 324000)) * 2200
Step 4:
We know that Q's profit is Rs.480.
- (600x / (6000 + 600x + 1200x + 324000)) * 2200 = 480
Step 5:
Solve the equation to find the value of x.
- 600x = 480 * (6000 + 600x + 1200x + 324000)
- 600x = 480 * (1800x + 330000)
- 600x = 864000x + 158400000
- 864000x - 600x = 158400000
- 863400x = 158400000
- x = 158400000 / 863400
- x ≈ 183.33
Step 6:
Since the investment period cannot be in decimal, we need to round off the value of x.
- Rounded off value of x is 183.
Step 7:
Therefore, Q invested for 183 months, which is approximately equal to 8 months.
Hence, the correct answer is option D) 8 months.
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P, Q and R invested some amount to start a business. P invest 500 for 12 months, Q invest 600 for some months and R invested 540 more than 2 months invested by Q.At the end of the year total profit earned is Rs.2200 while Q received Rs.480 then Q invested foe how many months ?a)7 monthsb)9monthsc)10 monthsd)8 monthse)None of theseCorrect answer is option 'D'. Can you explain this answer?
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P, Q and R invested some amount to start a business. P invest 500 for 12 months, Q invest 600 for some months and R invested 540 more than 2 months invested by Q.At the end of the year total profit earned is Rs.2200 while Q received Rs.480 then Q invested foe how many months ?a)7 monthsb)9monthsc)10 monthsd)8 monthse)None of theseCorrect answer is option 'D'. 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 P, Q and R invested some amount to start a business. P invest 500 for 12 months, Q invest 600 for some months and R invested 540 more than 2 months invested by Q.At the end of the year total profit earned is Rs.2200 while Q received Rs.480 then Q invested foe how many months ?a)7 monthsb)9monthsc)10 monthsd)8 monthse)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P, Q and R invested some amount to start a business. P invest 500 for 12 months, Q invest 600 for some months and R invested 540 more than 2 months invested by Q.At the end of the year total profit earned is Rs.2200 while Q received Rs.480 then Q invested foe how many months ?a)7 monthsb)9monthsc)10 monthsd)8 monthse)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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