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P, Q and R started a business by investing in the ratio 6 : 6 : 8 for 1 year. Then they donate of 20% in school and remaining profit are distributed P, Q and R. If R profit is Rs. 600 greater than Q , then find the total profit.
- a)Rs. 8000
- b)Rs. 6000
- c)Rs. 7500
- d)Rs. 7000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
P, Q and R started a business by investing in the ratio 6 : 6 : 8 for ...
Given:
- P, Q, and R started a business.
- They invested in the ratio 6:6:8 for 1 year.
- They donated 20% of the profit to a school.
- The remaining profit was distributed among P, Q, and R.
- The profit of R is Rs. 600 greater than Q.
To find:
The total profit.
Solution:
Let's assume the initial investments of P, Q, and R as follows:
P's investment = 6x
Q's investment = 6x
R's investment = 8x
Step 1: Calculation of Total Investment:
The total investment is the sum of the individual investments:
Total Investment = P's investment + Q's investment + R's investment
Total Investment = 6x + 6x + 8x
Total Investment = 20x
Step 2: Calculation of Total Profit:
Let's assume the profit earned by the business as 'P'.
The total profit is calculated by multiplying the total investment by the profit percentage:
Total Profit = Total Investment * Profit Percentage
Total Profit = 20x * 100%
Total Profit = 20x
Step 3: Calculation of Amount Donated to School:
The amount donated to the school is 20% of the total profit:
Amount Donated = 20% * Total Profit
Amount Donated = (20/100) * 20x
Amount Donated = 4x
Step 4: Calculation of Remaining Profit:
The remaining profit after the donation is the difference between the total profit and the amount donated:
Remaining Profit = Total Profit - Amount Donated
Remaining Profit = 20x - 4x
Remaining Profit = 16x
Step 5: Calculation of R's Profit:
Given that R's profit is Rs. 600 greater than Q's profit.
Let's assume Q's profit as 'y'.
R's profit = Q's profit + Rs. 600
R's profit = y + Rs. 600
Step 6: Calculation of Profit Ratio:
The profit ratio of P, Q, and R can be calculated using their investments:
Profit Ratio of P = P's investment / Total Investment
Profit Ratio of P = 6x / 20x
Profit Ratio of P = 6/20
Profit Ratio of P = 3/10
Profit Ratio of Q = Q's investment / Total Investment
Profit Ratio of Q = 6x / 20x
Profit Ratio of Q = 6/20
Profit Ratio of Q = 3/10
Profit Ratio of R = R's investment / Total Investment
Profit Ratio of R = 8x / 20x
Profit Ratio of R = 8/20
Profit Ratio of R = 2/5
Step 7: Calculation of Profit:
The profit of P, Q, and R can be calculated using their profit ratios:
Profit of P = Remaining Profit * Profit Ratio of P
Profit of P = 16x * 3/10
Profit of P = 48/10x
Profit of P = 4.8x
Profit of Q = Remaining Profit * Profit Ratio of Q
Profit of Q
- P, Q, and R started a business.
- They invested in the ratio 6:6:8 for 1 year.
- They donated 20% of the profit to a school.
- The remaining profit was distributed among P, Q, and R.
- The profit of R is Rs. 600 greater than Q.
To find:
The total profit.
Solution:
Let's assume the initial investments of P, Q, and R as follows:
P's investment = 6x
Q's investment = 6x
R's investment = 8x
Step 1: Calculation of Total Investment:
The total investment is the sum of the individual investments:
Total Investment = P's investment + Q's investment + R's investment
Total Investment = 6x + 6x + 8x
Total Investment = 20x
Step 2: Calculation of Total Profit:
Let's assume the profit earned by the business as 'P'.
The total profit is calculated by multiplying the total investment by the profit percentage:
Total Profit = Total Investment * Profit Percentage
Total Profit = 20x * 100%
Total Profit = 20x
Step 3: Calculation of Amount Donated to School:
The amount donated to the school is 20% of the total profit:
Amount Donated = 20% * Total Profit
Amount Donated = (20/100) * 20x
Amount Donated = 4x
Step 4: Calculation of Remaining Profit:
The remaining profit after the donation is the difference between the total profit and the amount donated:
Remaining Profit = Total Profit - Amount Donated
Remaining Profit = 20x - 4x
Remaining Profit = 16x
Step 5: Calculation of R's Profit:
Given that R's profit is Rs. 600 greater than Q's profit.
Let's assume Q's profit as 'y'.
R's profit = Q's profit + Rs. 600
R's profit = y + Rs. 600
Step 6: Calculation of Profit Ratio:
The profit ratio of P, Q, and R can be calculated using their investments:
Profit Ratio of P = P's investment / Total Investment
Profit Ratio of P = 6x / 20x
Profit Ratio of P = 6/20
Profit Ratio of P = 3/10
Profit Ratio of Q = Q's investment / Total Investment
Profit Ratio of Q = 6x / 20x
Profit Ratio of Q = 6/20
Profit Ratio of Q = 3/10
Profit Ratio of R = R's investment / Total Investment
Profit Ratio of R = 8x / 20x
Profit Ratio of R = 8/20
Profit Ratio of R = 2/5
Step 7: Calculation of Profit:
The profit of P, Q, and R can be calculated using their profit ratios:
Profit of P = Remaining Profit * Profit Ratio of P
Profit of P = 16x * 3/10
Profit of P = 48/10x
Profit of P = 4.8x
Profit of Q = Remaining Profit * Profit Ratio of Q
Profit of Q
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P, Q and R started a business by investing in the ratio 6 : 6 : 8 for 1 year. Then they donate of 20% in school and remaining profit are distributed P, Q and R. If R profit is Rs. 600 greater than Q , then find the total profit.a)Rs. 8000b)Rs. 6000c)Rs. 7500d)Rs. 7000Correct answer is option 'C'. Can you explain this answer?
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P, Q and R started a business by investing in the ratio 6 : 6 : 8 for 1 year. Then they donate of 20% in school and remaining profit are distributed P, Q and R. If R profit is Rs. 600 greater than Q , then find the total profit.a)Rs. 8000b)Rs. 6000c)Rs. 7500d)Rs. 7000Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about P, Q and R started a business by investing in the ratio 6 : 6 : 8 for 1 year. Then they donate of 20% in school and remaining profit are distributed P, Q and R. If R profit is Rs. 600 greater than Q , then find the total profit.a)Rs. 8000b)Rs. 6000c)Rs. 7500d)Rs. 7000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P, Q and R started a business by investing in the ratio 6 : 6 : 8 for 1 year. Then they donate of 20% in school and remaining profit are distributed P, Q and R. If R profit is Rs. 600 greater than Q , then find the total profit.a)Rs. 8000b)Rs. 6000c)Rs. 7500d)Rs. 7000Correct answer is option 'C'. Can you explain this answer?.
P, Q and R started a business by investing in the ratio 6 : 6 : 8 for 1 year. Then they donate of 20% in school and remaining profit are distributed P, Q and R. If R profit is Rs. 600 greater than Q , then find the total profit.a)Rs. 8000b)Rs. 6000c)Rs. 7500d)Rs. 7000Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about P, Q and R started a business by investing in the ratio 6 : 6 : 8 for 1 year. Then they donate of 20% in school and remaining profit are distributed P, Q and R. If R profit is Rs. 600 greater than Q , then find the total profit.a)Rs. 8000b)Rs. 6000c)Rs. 7500d)Rs. 7000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P, Q and R started a business by investing in the ratio 6 : 6 : 8 for 1 year. Then they donate of 20% in school and remaining profit are distributed P, Q and R. If R profit is Rs. 600 greater than Q , then find the total profit.a)Rs. 8000b)Rs. 6000c)Rs. 7500d)Rs. 7000Correct answer is option 'C'. Can you explain this answer?.
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