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Question

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?

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Solution

The correct option is **A** 8 months

Let their same capital be X.

Let their same capital be X.

and let gita invested his capital for y months.

At the end of 1 year the profit ratio is 3:2

For sita =X×12

For gita=X×y

Total shares=12+y

Profit of sita=1212+y −(1)

Profit of geeta=y12+y ‘−(2)

from eqs.(1) and (2) we have-

1212+yy12+y=32⟹12y=32

⟹y=8

Hence sita invested her capital for 8 months.

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