Profit ratio = capital x time: find the missing ratio of capitals, times or profits

This type of question, asked 3 times: 29 Jan 2022 Tier II, 2 Mar 2023 Tier II, 6 Mar 2023 Tier II. All 3 questions below, oldest first.

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Question 1
29 Jan 2022 Tier II
78 $A, B and C invested their capitals in the ratio 2 : 3 : 5. The ratio of months for which they invested is 4 : 2 : 3, respectively. If the difference between the profit shares of A and B is ₹1,86,000, then C's share of profit (in ₹) is:$
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Question 2
2 Mar 2023 Tier II
3 $A, B and C did certain investments and the ratio of their time periods is 3 : 2 : 7 respectively. Ratio of the profits of A, B and C is 4 : 3 : 14 respectively. What is the ratio of the investments of A, B and C?$
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Question 3
6 Mar 2023 Tier II
7 $A, B and C invested capital in the ratio of 3 : 4 : 8. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. What is the ratio of their invested time?$
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Question 1