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Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?
- a)Rs.1, 24,000
- b)Rs. 2, 00,000
- c)Rs. 2, 24,000
- d)Rs. 3, 20,000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Rajan Started a business with an investment of Rs.80, 000 and after f...
Given:
Investment of Rajan = Rs. 80,000
Profit ratio of Rajan, Naman and Bittu = 5 : 4 : 4
Let the investments of Naman and Bittu be x and y respectively.
Calculation:
Let us assume that the business made a profit of Rs. P in the year.
Total investment = Investment of Rajan + Investment of Naman + Investment of Bittu
Total investment = Rs. 80,000 + x + y
We know that Rajan has been in the business for the entire year and the profit ratio of Rajan, Naman and Bittu is 5 : 4 : 4. Therefore, the profit made by Rajan in the year is 5/13 of the total profit.
Profit of Rajan = (5/13)P
Naman joined after 4 months, i.e. he was in the business for 8 months. Therefore, the profit made by Naman in the year is (4/12) of the total profit.
Profit of Naman = (4/12) * (4/13)P = (1/13)P
Bittu joined after 6 months, i.e. he was in the business for 6 months. Therefore, the profit made by Bittu in the year is (6/12) of the total profit.
Profit of Bittu = (6/12) * (4/13)P = (2/13)P
Given, Profit ratio of Rajan, Naman and Bittu = 5 : 4 : 4
Therefore, (5/13)P : (1/13)P : (2/13)P = 5 : 4 : 4
Solving the above equation, we get P = Rs. 390,000
Now, we can find the investments of Naman and Bittu.
Investment of Naman + Investment of Bittu = Total investment - Investment of Rajan
x + y = Rs. (80,000 + x + y) - Rs. 80,000
x + y = Rs. 80,000
Profit of Naman = (1/13)P = Rs. 30,000
Profit of Bittu = (2/13)P = Rs. 60,000
Now, we can use the profit sharing ratio to find the actual profit received by Naman and Bittu.
Actual profit received by Naman = (4/12) * Rs. 30,000 = Rs. 10,000
Actual profit received by Bittu = (6/12) * Rs. 60,000 = Rs. 30,000
Sum of the investments of Naman and Bittu = Investment of Naman + Investment of Bittu
Sum of the investments of Naman and Bittu = Rs. 80,000
Therefore, the sum of the amounts invested by Naman and Bittu is Rs. 2,24,000 (Option C).
Investment of Rajan = Rs. 80,000
Profit ratio of Rajan, Naman and Bittu = 5 : 4 : 4
Let the investments of Naman and Bittu be x and y respectively.
Calculation:
Let us assume that the business made a profit of Rs. P in the year.
Total investment = Investment of Rajan + Investment of Naman + Investment of Bittu
Total investment = Rs. 80,000 + x + y
We know that Rajan has been in the business for the entire year and the profit ratio of Rajan, Naman and Bittu is 5 : 4 : 4. Therefore, the profit made by Rajan in the year is 5/13 of the total profit.
Profit of Rajan = (5/13)P
Naman joined after 4 months, i.e. he was in the business for 8 months. Therefore, the profit made by Naman in the year is (4/12) of the total profit.
Profit of Naman = (4/12) * (4/13)P = (1/13)P
Bittu joined after 6 months, i.e. he was in the business for 6 months. Therefore, the profit made by Bittu in the year is (6/12) of the total profit.
Profit of Bittu = (6/12) * (4/13)P = (2/13)P
Given, Profit ratio of Rajan, Naman and Bittu = 5 : 4 : 4
Therefore, (5/13)P : (1/13)P : (2/13)P = 5 : 4 : 4
Solving the above equation, we get P = Rs. 390,000
Now, we can find the investments of Naman and Bittu.
Investment of Naman + Investment of Bittu = Total investment - Investment of Rajan
x + y = Rs. (80,000 + x + y) - Rs. 80,000
x + y = Rs. 80,000
Profit of Naman = (1/13)P = Rs. 30,000
Profit of Bittu = (2/13)P = Rs. 60,000
Now, we can use the profit sharing ratio to find the actual profit received by Naman and Bittu.
Actual profit received by Naman = (4/12) * Rs. 30,000 = Rs. 10,000
Actual profit received by Bittu = (6/12) * Rs. 60,000 = Rs. 30,000
Sum of the investments of Naman and Bittu = Investment of Naman + Investment of Bittu
Sum of the investments of Naman and Bittu = Rs. 80,000
Therefore, the sum of the amounts invested by Naman and Bittu is Rs. 2,24,000 (Option C).
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Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?a)Rs.1, 24,000b)Rs. 2, 00,000c)Rs. 2, 24,000d)Rs. 3, 20,000Correct answer is option 'C'. Can you explain this answer?
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Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?a)Rs.1, 24,000b)Rs. 2, 00,000c)Rs. 2, 24,000d)Rs. 3, 20,000Correct 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 Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?a)Rs.1, 24,000b)Rs. 2, 00,000c)Rs. 2, 24,000d)Rs. 3, 20,000Correct 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 Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?a)Rs.1, 24,000b)Rs. 2, 00,000c)Rs. 2, 24,000d)Rs. 3, 20,000Correct answer is option 'C'. Can you explain this answer?.
Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?a)Rs.1, 24,000b)Rs. 2, 00,000c)Rs. 2, 24,000d)Rs. 3, 20,000Correct 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 Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?a)Rs.1, 24,000b)Rs. 2, 00,000c)Rs. 2, 24,000d)Rs. 3, 20,000Correct 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 Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?a)Rs.1, 24,000b)Rs. 2, 00,000c)Rs. 2, 24,000d)Rs. 3, 20,000Correct answer is option 'C'. Can you explain this answer?.
Solutions for Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?a)Rs.1, 24,000b)Rs. 2, 00,000c)Rs. 2, 24,000d)Rs. 3, 20,000Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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ample number of questions to practice Rajan Started a business with an investment of Rs.80, 000 and after four months Naman joined him. After two more months later Bittu joined them. Now at the end of the year, the ratio of the profits of Rajan, Naman and Bittu was 5 : 4 : 4 . What was the sum of the amounts invested by Naman and Bittu?a)Rs.1, 24,000b)Rs. 2, 00,000c)Rs. 2, 24,000d)Rs. 3, 20,000Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
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