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P,Q,R invested capitals in the ratio 4: 6 :9 .At the end of the business term , they received the profits in the ratio 2: 3 :5 . Find the ratio of time for which they invested their capitals.?
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P,Q,R invested capitals in the ratio 4: 6 :9 .At the end of the busine...
Given ratios of capitals and profits:
- Capital ratios: P:Q:R = 4:6:9
- Profit ratios: P:Q:R = 2:3:5

Let's assume the time for which they invested their capitals as x:
- Therefore, the capitals invested by P, Q, and R can be represented as 4x, 6x, and 9x respectively.
- Similarly, the profits received by P, Q, and R can be represented as 2x, 3x, and 5x respectively.

Ratio of time invested by P, Q, and R:
- The ratio of profits is directly proportional to the ratio of capital and time.
- Therefore, the ratio of time invested by P, Q, and R can be calculated as follows:
(4x * 2) : (6x * 3) : (9x * 5)
8x : 18x : 45x
8 : 18 : 45
Simplifying the ratio by dividing by 9, we get:
8/9 : 18/9 : 45/9
8 : 18 : 45

Therefore, the ratio of time for which they invested their capitals is 8:18:45.
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P,Q,R invested capitals in the ratio 4: 6 :9 .At the end of the business term , they received the profits in the ratio 2: 3 :5 . Find the ratio of time for which they invested their capitals.?
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P,Q,R invested capitals in the ratio 4: 6 :9 .At the end of the business term , they received the profits in the ratio 2: 3 :5 . Find the ratio of time for which they invested their capitals.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about P,Q,R invested capitals in the ratio 4: 6 :9 .At the end of the business term , they received the profits in the ratio 2: 3 :5 . Find the ratio of time for which they invested their capitals.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P,Q,R invested capitals in the ratio 4: 6 :9 .At the end of the business term , they received the profits in the ratio 2: 3 :5 . Find the ratio of time for which they invested their capitals.?.
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