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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?

A
8 months
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B
7 months
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C
5 months
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D
9 months
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Solution

## The correct option is A 8 monthsLet their same capital be X.and let gita invested his capital for y months.At the end of 1 year the profit ratio is 3:2For sita =X×12For gita=X×yTotal shares=12+yProfit 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=8Hence sita invested her capital for 8 months.

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