Multiple choice

Sita and Gita invested the same capital in a business. At the year-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?

  1. $8\ months $
  2. $7\ months $
  3. $5\ months $
  4. $9\ months $
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A Correct answer
Explanation

Profit = Investment * Time. Since capital is the same, Profit ratio = Time ratio. 3/2 = 12/T_gita. 3 * T_gita = 24. T_gita = 8 months.

AI explanation

The profit ratio is the product of the capital ratio and the time ratio, so 3 divided by 2 equals 1 multiplied by 12 divided by the number of months Gita invested. Solving for Gita's time, we get the number of months equals 12 multiplied by 2 and then divided by 3, which results in 8 months.

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