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Sita and Gita invested the same capital in the business. At year’s end they share the profit in the ratio 3:2. If Sita has invested her capital for the whole year, for how many months Gita has invested her capital?

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Detailed Solution

To calculate the ratio of the profits of both Sita and Gita and Equate it to the given values of Y.
Investment of Gita =

Investment of Sita =

The total amount invested by both of them is given by
Total share

Profit of Sita can be given by the ratio of the investment of Sita to the total share

Profit of Gita can be given by the ratio of the total investment of Gita to be the total share
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The ratio of profits of Sita and Gita are 3:2
Question Image

Substituting the values in the above equation
Question Image

For 8 months Gita has invested her capital.

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