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Question

Anju and Brijesh enters into a partnership with their capitals in the ratio of 5:9. At the end of 8 months, Anju withdraws her capital. If they receive their share of profit in the ratio of 4:9, find out how long Brijesh's capital was invested in the business ?

A
8 months
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B
10 months
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C
12 months
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D
5 months
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E
None of the above
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Solution

The correct option is B 10 months
Let, Brijesh's capital be invested for x months
The capital ratio of Anju to Brijesh is 5 : 9.
Let the capitals of Anju and Brijesh be Rs 5y and Rs 9y.
We have,
C1×t1=5y×8=40y
and, C2×t2=9y×x=9yx
Anjus share of profitBrijeshs share of profit=C1×t1C2×t2
49=40 y9yxx=40×94×9=10 months

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